Bode Para Filtros Ativos -Sallen-Key

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Curva de Bode para Filtros Ativos Implementados com as configurações Sallen K Obs.; Rs e Cs todos iguais entre si com exeção dos relacionados ao ganho, ou seja, Ra e Rb. Entre com: 1. Número de décadas: 2 2 Décadas 2. Tipo do filtro (PB, PA, PF = 1, 1 Passa Baixa 3. Ordem do filtro ( de 1 5 5 º Ordem Bloco 1 Bloco 2 Bloco 3 Bloco 4 Bloco 5 Bloco 6 1º Ordem 2º Ordem 2º Ordem 2º Ordem 2º Ordem 2º Ordem 4. Ra 10,000 10,000 10,000 10,000 65,685 5. Rb 18,877 15,320 22,000 22,000 10,000 6. Rs ### 32,910 51,850 ### 39,000 1,591 7. Cs (nano 100 10 10 10 10 100 fo ou fc 89 484 307 133 408 1,000 Q 8.90 2.14 - 5.00 - 5.00 0.54 K = 1+Rb/Ra 2.89 2.532 3.200 3.200 1.152 G = 2.89 2.53 3.20 3.20 1.15 Instruções: 1. Preencher apenas as células verdes, 2. Não deixe as células com valor zero, pois a planilha poderá fazer divisões por zero e o gáfico não funcionará, * Caso não visualize nenhu 3. Confira o tipo de Filtro: ( Passa Baixas = 1, Passa Altas = 2 e Passa Alta entre com 11 e verifique s 4. Confira o número de Blocos do seu circuito. ( Ordem do Filtro ) "#DIV/0!". Se isso oco 5. Filtros Passa Faixa devem ser de ordem par!!! verdes acima de forma 6. Verificar se os coeficientes das células correspondem com a ordem e o tipo selecionados!!! Anotações sobre este Filtro: 1. Filtro passa faixa ( Chebyshev ). 8ª Ordem. 2. Frequências de corte projetadas; fc1 = 100Hz e fc2 = 1100Hz. Resistores arredondados! 3 9 4 5 5 3 6 2 7 3 8 6 1 0 1 1 1 9 1 4 0 1 6 4 1 9 3 2 2 7 2 6 7 3 1 3 3 6 8 4 3 2 5 0 8 5 9 7 -120 -100 -80 -60 -40 -20 0 20 40

description

Planilha para Filtros Ativos - Sallen KeyUse para obter os valores de ganhos para os diferentes circuitos

Transcript of Bode Para Filtros Ativos -Sallen-Key

Page 1: Bode Para Filtros Ativos -Sallen-Key

Curva de Bode para Filtros Ativos Implementados com as configurações Sallen KeyObs.; Rs e Cs todos iguais entre si com exeção dos relacionados ao ganho, ou seja, Ra e Rb.

Entre com:1. Número de décadas: 2 2 Décadas2. Tipo do filtro (PB, PA, PF = 1, 2, 3 ): 1 Passa Baixa3. Ordem do filtro ( de 1 a 11 ): 5 5 º Ordem

Bloco 1 Bloco 2 Bloco 3 Bloco 4 Bloco 5 Bloco 6 1º Ordem 2º Ordem 2º Ordem 2º Ordem 2º Ordem 2º Ordem

4. Ra 10,000 10,000 10,000 10,000 65,685 5. Rb 18,877 15,320 22,000 22,000 10,000 6. Rs 17,930 32,910 51,850 120,000 39,000 1,591 7. Cs (nano F) 100 10 10 10 10 100

fo ou fc 89 484 307 133 408 1,000 Q 8.90 2.14 - 5.00 - 5.00 0.54 K = 1+Rb/Ra 2.89 2.532 3.200 3.200 1.152G = 2.89 2.53 3.20 3.20 1.15

Instruções: 1. Preencher apenas as células verdes,2. Não deixe as células com valor zero, pois a planilha poderá fazer divisões por zero e o gáfico não funcionará, * Caso não visualize nenhuma curva, em "Ordem do Filtro" 3. Confira o tipo de Filtro: ( Passa Baixas = 1, Passa Altas = 2 e Passa Altas =3). entre com 11 e verifique se em alguma célula azul, aparece 4. Confira o número de Blocos do seu circuito. ( Ordem do Filtro ) "#DIV/0!". Se isso ocorrer, mude os valores das células

5. Filtros Passa Faixa devem ser de ordem par!!! verdes acima de forma que "#DIV/0!" não ocorra.6. Verificar se os coeficientes das células correspondem com a ordem e o tipo selecionados!!!Anotações sobre este Filtro:1. Filtro passa faixa ( Chebyshev ). 8ª Ordem.2. Frequências de corte projetadas; fc1 = 100Hz e fc2 = 1100Hz. Resistores arredondados!

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Ordem do Filtro: 5 núm. de dec.(n) 2 PB-1,PA-2,PF-3 1 1 1 1 1 1 Ra 10000 10000 10000 10000 65,685 Rb 18877 15320 22000 22000 10,000 R 17930 32910 51850 120000 39000 1,591 C 0.0000001 1E-08 1E-08 1E-08 1E-08 0.0000001 fo 88.7646085 483.60663 306.95264 132.62912 408.0896 1000.3453 Q 8.9047195 2.1367521 -5 -5 0.5411963 G=(1+Rb/Ra) 2.8877 2.532 3.2 3.2 1.1522418

Frequência Soma 39 -0.7496312 9.2659958 8.191768 10.851328 10.179193 1.2217613 16.708132 39 -0.7819587 9.2685942 8.1975723 10.888159 10.1828 1.2213319 16.684208 40 -0.8155538 9.2713159 8.2036531 10.926885 10.186578 1.2208823 16.659415 41 -0.8504558 9.2741667 8.2100239 10.967613 10.190536 1.2204115 16.633735 42 -0.8867046 9.2771529 8.2166986 11.010456 10.194682 1.2199185 16.607147 43 -0.9243402 9.280281 8.2236919 11.055533 10.199026 1.2194023 16.579633 44 -0.963403 9.2835576 8.2310191 11.102974 10.203577 1.2188617 16.551174 45 -1.0039337 9.28699 8.2386964 11.152916 10.208345 1.2182957 16.521753 46 -1.045973 9.2905855 8.2467409 11.205504 10.21334 1.217703 16.491354 47 -1.0895616 9.2943521 8.2551703 11.260895 10.218573 1.2170823 16.459961 49 -1.1347405 9.298298 8.2640033 11.319257 10.224057 1.2164324 16.427561

50 -1.1815502 9.3024317 8.2732596 11.380769 10.229802 1.2157519 16.394141 51 -1.2300311 9.3067623 8.2829597 11.445624 10.235822 1.2150393 16.359691 52 -1.2802234 9.3112993 8.2931254 11.514029 10.24213 1.2142931 16.324201 53 -1.3321668 9.3160526 8.3037794 11.586205 10.24874 1.2135118 16.287665 54 -1.3859004 9.3210326 8.3149456 11.662393 10.255667 1.2126936 16.250078

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56 -1.4414629 9.3262504 8.3266491 11.74285 10.262925 1.2118369 16.211437 57 -1.4988919 9.3317175 8.3389163 11.827856 10.270532 1.2109398 16.171742 58 -1.5582244 9.3374458 8.3517751 11.917712 10.278505 1.2100004 16.130996 60 -1.6194965 9.3434481 8.3652544 12.012744 10.286861 1.2090167 16.089206 61 -1.682743 9.3497376 8.3793851 12.113308 10.295618 1.2079867 16.04638 62 -1.7479976 9.3563284 8.3941994 12.219788 10.304798 1.2069082 16.00253 64 -1.8152927 9.3632352 8.4097311 12.332605 10.31442 1.2057788 15.957674 65 -1.8846593 9.3704732 8.4260161 12.452216 10.324507 1.2045962 15.91183 67 -1.9561267 9.3780587 8.4430918 12.579123 10.33508 1.2033579 15.865024 69 -2.0297228 9.3860087 8.4609978 12.713874 10.346166 1.2020612 15.817284 70 -2.1054735 9.3943411 8.4797756 12.857073 10.357788 1.2007034 15.768643 72 -2.1834032 9.4030747 8.4994692 13.009383 10.369974 1.1992816 15.719141 73 -2.2635339 9.4122292 8.5201247 13.171539 10.382752 1.1977928 15.66882 75 -2.3458861 9.4218253 8.5417906 13.34435 10.396152 1.1962338 15.61773 77 -2.4304777 9.4318849 8.5645183 13.528719 10.410204 1.1946014 15.565925 79 -2.5173247 9.4424309 8.5883616 13.725647 10.424942 1.1928921 15.513468 80 -2.6064408 9.4534875 8.6133775 13.936254 10.4404 1.1911022 15.460424 82 -2.6978375 9.46508 8.639626 14.16179 10.456615 1.1892279 15.406869 84 -2.7915237 9.4772353 8.6671705 14.403664 10.473625 1.1872654 15.352882 86 -2.8875062 9.4899815 8.6960777 14.663459 10.49147 1.1852103 15.298553 88 -2.9857892 9.5033482 8.726418 14.942962 10.510195 1.1830584 15.243977 90 -3.0863745 9.5173666 8.758266 15.244197 10.529843 1.1808051 15.189258 92 -3.1892614 9.5320696 8.7917003 15.569458 10.550463 1.1784456 15.134508 95 -3.294447 9.5474919 8.8268038 15.921348 10.572105 1.175975 15.079849 97 -3.4019258 9.5636701 8.8636642 16.302818 10.594822 1.1733879 15.025409 99 -3.5116898 9.5806426 8.9023744 16.717204 10.61867 1.1706789 14.971327 101 -3.6237288 9.5984501 8.9430323 17.168241 10.643709 1.1678423 14.917754 104 -3.7380303 9.6171355 8.9857415 17.660054 10.670003 1.164872 14.864847 106 -3.8545794 9.6367442 9.0306119 18.197052 10.697617 1.1617617 14.812777 109 -3.973359 9.6573238 9.0777594 18.783665 10.726623 1.1585049 14.761724 111 -4.0943499 9.678925 9.1273068 19.423737 10.757094 1.1550947 14.711882 114 -4.2175309 9.7016011 9.1793842 20.119262 10.789112 1.1515238 14.663454

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116 -4.3428787 9.7254086 9.2341293 20.867831 10.822758 1.1477847 14.616659 119 -4.4703682 9.7504072 9.2916879 21.657745 10.858124 1.1438694 14.571727 122 -4.5999724 9.7766603 9.3522144 22.459301 10.895304 1.1397696 14.528902 125 -4.7316627 9.8042346 9.4158725 23.211586 10.934399 1.1354768 14.488444 128 -4.865409 9.8332013 9.4828354 23.809788 10.975517 1.1309817 14.450628 131 -5.0011794 9.8636355 9.5532866 24.112594 11.018771 1.1262748 14.415743 134 -5.138941 9.8956169 9.6274203 23.996855 11.064283 1.1213463 14.384096 137 -5.2786594 9.9292305 9.7054423 23.438862 11.112185 1.1161856 14.356013 140 -5.4202991 9.964566 9.7875699 22.533093 11.162613 1.1107819 14.331837 143 -5.5638237 10.001719 9.8740331 21.423305 11.215717 1.1051237 14.311929 146 -5.7091958 10.040792 9.9650746 20.230794 11.271654 1.0991991 14.296671 150 -5.8563772 10.081892 10.06095 19.03175 11.330596 1.0929955 14.286465 153 -6.005329 10.125136 10.161929 17.865737 11.392722 1.0864999 14.281736 157 -6.1560117 10.170646 10.268294 16.749872 11.458229 1.0796984 14.282928 161 -6.3083855 10.218553 10.380341 15.689274 11.527327 1.0725767 14.290509 164 -6.46241 10.268999 10.498378 14.683193 11.60024 1.0651199 14.304967 168 -6.6180446 10.322133 10.622725 13.728271 11.677211 1.0573121 14.326813 172 -6.7752488 10.378115 10.753709 12.8202 11.758503 1.049137 14.356576 176 -6.9339815 10.437119 10.891667 11.954518 11.844399 1.0405771 14.394804 180 -7.0942022 10.499329 11.036934 11.126977 11.935204 1.0316147 14.44206 184 -7.25587 10.564943 11.189843 10.333693 12.03125 1.0222307 14.498916 189 -7.4189445 10.634176 11.350714 9.5711801 12.132898 1.0124054 14.565945 193 -7.5833854 10.707257 11.519842 8.8363503 12.240538 1.0021181 14.643713 198 -7.7491528 10.784435 11.697481 8.1264752 12.354598 0.9913473 14.732763 202 -7.9162071 10.865978 11.883823 7.4391505 12.475544 0.9800704 14.833594 207 -8.0845091 10.952178 12.078965 6.7722565 12.603884 0.9682637 14.946634 212 -8.2540202 11.043348 12.282876 6.1239217 12.740179 0.9559024 15.072204 217 -8.4247024 11.139831 12.495338 5.49249 12.885041 0.9429608 15.210467 222 -8.5965182 11.242 12.715881 4.8764922 13.039147 0.9294117 15.361363 227 -8.7694306 11.350261 12.943692 4.2746212 13.203245 0.9152269 15.524522 232 -8.9434035 11.465058 13.177498 3.6857106 13.378162 0.9003769 15.699153 238 -9.1184013 11.586878 13.415428 3.1087166 13.564816 0.8848307 15.883905

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243 -9.2943893 11.716255 13.65483 2.5427025 13.764231 0.8685562 16.076695 249 -9.4713334 11.853778 13.892069 1.986825 13.977549 0.8515194 16.274514 255 -9.6492004 12.000099 14.122305 1.440323 14.20605 0.8336853 16.473203 260 -9.8279577 12.155936 14.339283 0.9025078 14.451172 0.815017 16.667262 267 -10.007574 12.322093 14.535178 0.3727544 14.714535 0.795476 16.849697 273 -10.188017 12.499461 14.700586 -0.149506 14.997969 0.7750224 17.012031 279 -10.369258 12.689043 14.824755 -0.66479 15.303545 0.7536141 17.14454 286 -10.551268 12.891964 14.896158 -1.173573 15.633612 0.7312076 17.236853 292 -10.734017 13.109493 14.903468 -1.676287 15.990836 0.7077572 17.278944 299 -10.917479 13.343072 14.836868 -2.173331 16.378239 0.6832155 17.26246 306 -11.101626 13.594344 14.689449 -2.66507 16.799229 0.6575329 17.182167 313 -11.286432 13.865194 14.458355 -3.151841 17.25762 0.6306578 17.037117 320 -11.471872 14.157793 14.145285 -3.633954 17.7576 0.6025365 16.831206 328 -11.657922 14.474665 13.756191 -4.111696 18.30361 0.5731131 16.572933 336 -11.844558 14.818756 13.30027 -4.585334 18.900031 0.5423293 16.274467 343 -12.031757 15.193535 12.788595 -5.055112 19.550483 0.5101246 15.950374 351 -12.219496 15.603123 12.23275 -5.52126 20.256378 0.4764361 15.616377 360 -12.407755 16.052452 11.643757 -5.983991 21.014025 0.4411983 15.288454 368 -12.596513 16.54748 11.031403 -6.443501 21.809142 0.4043436 14.98237 377 -12.78575 17.095479 10.403927 -6.899976 22.60727 0.3658013 14.713656

fo = 385 -12.975446 17.705401 9.7679775 -7.353586 23.339973 0.3254987 14.497933 394 -13.165582 18.38837 9.1287415 -7.804493 23.893875 0.2833601 14.351529 403 -13.356142 19.158284 8.4901425 -8.252846 24.125281 0.2393073 14.292284 413 -13.547108 20.032493 7.8550651 -8.698786 23.924086 0.1932594 14.340451 422 -13.738462 21.03227 7.2255651 -9.142445 23.290629 0.1451329 14.519374 432 -13.93019 22.182064 6.603054 -9.583944 22.335418 0.0948417 14.854928 442 -14.122275 23.504083 5.9884508 -10.0234 21.202115 0.0422969 15.370259 453 -14.314703 24.996994 5.3823048 -10.46092 20.00386 -0.012593 16.064597 463 -14.507459 26.566219 4.7848911 -10.89662 18.808874 -0.069922 16.843651 474 -14.70053 27.856082 4.1962847 -11.33057 17.651474 -0.129786 17.351837 485 -14.893902 28.165527 3.6164163 -11.76288 16.545867 -0.192285 16.888041 496 -15.087564 27.13411 3.0451153 -12.19363 15.495705 -0.257519 15.091661

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508 -15.281502 25.315614 2.4821415 -12.6229 14.49956 -0.325592 12.516254 520 -15.475705 23.346453 1.9272087 -13.05076 13.553804 -0.396609 9.7979569 532 -15.670161 21.494325 1.3800021 -13.47729 12.654054 -0.470678 7.2041656 544 -15.864861 19.818197 0.8401917 -13.90255 11.79587 -0.547908 4.793528 557 -16.059793 18.309491 0.3074411 -14.32662 10.975066 -0.628409 2.5571387 570 -16.254947 16.944348 -0.218586 -14.74954 10.187831 -0.712293 0.4708148 583 -16.450315 15.698913 -0.738219 -15.17137 9.4307566 -0.799671 -1.489621 597 -16.645887 14.552934 -1.251781 -15.59217 8.7008248 -0.890658 -3.344733 611 -16.841653 13.490011 -1.759582 -16.012 7.9953714 -0.985367 -5.111224 625 -17.037606 12.497028 -2.261923 -16.43089 7.3120485 -1.083912 -6.802502 639 -17.233738 11.563473 -2.759089 -16.84889 6.648786 -1.186404 -8.429354 654 -17.430041 10.680868 -3.251352 -17.26605 6.0037552 -1.292957 -10.00052 670 -17.626507 9.8423142 -3.738972 -17.68241 5.3753374 -1.40368 -11.52317 685 -17.82313 9.0421396 -4.222195 -18.098 4.7620955 -1.518684 -13.00319 701 -18.019902 8.2756406 -4.701255 -18.51287 4.1627506 -1.638074 -14.44552 717 -18.216817 7.5388793 -5.176371 -18.92704 3.5761607 -1.761955 -15.85431 734 -18.413869 6.8285312 -5.647753 -19.34056 3.0013033 -1.890426 -17.23309 751 -18.611052 6.1417672 -6.115598 -19.75345 2.4372601 -2.023586 -18.58488 769 -18.80836 5.4761622 -6.580091 -20.16574 1.8832042 -2.161527 -19.91229 787 -19.005787 4.8296231 -7.04141 -20.57746 1.3383888 -2.304337 -21.21757 805 -19.203329 4.2003321 -7.499719 -20.98865 0.8021379 -2.452098 -22.50272 824 -19.40098 3.5867015 -7.955175 -21.39931 0.2738376 -2.604887 -23.76945 843 -19.598736 2.9873366 -8.407927 -21.80949 -0.24707 -2.762774 -25.01933 863 -19.796591 2.4010069 -8.858114 -22.21919 -0.761096 -2.925825 -26.2537 883 -19.994543 1.8266211 -9.305868 -22.62845 -1.268704 -3.094094 -27.47379 903 -20.192585 1.2632076 -9.751315 -23.03728 -1.770321 -3.267633 -28.68069 924 -20.390715 0.7098978 -10.19457 -23.44571 -2.266338 -3.446481 -29.87539 946 -20.588928 0.1659123 -10.63575 -23.85375 -2.757117 -3.630674 -31.05876 968 -20.787221 -0.369451 -11.07495 -24.26143 -3.242987 -3.820235 -32.23162 990 -20.98559 -0.896824 -11.51228 -24.66875 -3.724256 -4.015183 -33.39469 1,013 -21.184032 -1.416784 -11.94783 -25.07573 -4.201205 -4.215523 -34.54864 1,037 -21.382543 -1.92985 -12.38168 -25.4824 -4.674098 -4.421258 -35.69408

Page 7: Bode Para Filtros Ativos -Sallen-Key

1,061 -21.581121 -2.436499 -12.81393 -25.88876 -5.143176 -4.632376 -36.83155 1,086 -21.779763 -2.937164 -13.24465 -26.29483 -5.608664 -4.84886 -37.96158 1,111 -21.978465 -3.432243 -13.67392 -26.70063 -6.070774 -5.070684 -39.08463 1,137 -22.177226 -3.922099 -14.10181 -27.10616 -6.529699 -5.297814 -40.20114 1,164 -22.376042 -4.407069 -14.52839 -27.51144 -6.985621 -5.530207 -41.3115 1,191 -22.57491 -4.887459 -14.95372 -27.91648 -7.43871 -5.767812 -42.41609 1,218 -22.77383 -5.363556 -15.37786 -28.32128 -7.889125 -6.010573 -43.51524 1,247 -22.972798 -5.835621 -15.80087 -28.72587 -8.337013 -6.258423 -44.60929 1,276 -23.171812 -6.3039 -16.2228 -29.13025 -8.782514 -6.511292 -45.69852 1,306 -23.37087 -6.768616 -16.64371 -29.53444 -9.225756 -6.769103 -46.7832 1,336 -23.569971 -7.22998 -17.06365 -29.93843 -9.666863 -7.031771 -47.8636 1,367 -23.769111 -7.688188 -17.48266 -30.34224 -10.10595 -7.299209 -48.93996 1,399 -23.968291 -8.14342 -17.90079 -30.74588 -10.54312 -7.571323 -50.0125 1,431 -24.167507 -8.595845 -18.31807 -31.14935 -10.97847 -7.848015 -51.08143 1,465 -24.366758 -9.045622 -18.73456 -31.55266 -11.41211 -8.129185 -52.14694 1,499 -24.566043 -9.492898 -19.15028 -31.95583 -11.84412 -8.414728 -53.20922 1,534 -24.76536 -9.937811 -19.56528 -32.35885 -12.27459 -8.704538 -54.26845 1,570 -24.964707 -10.38049 -19.97958 -32.76173 -12.70358 -8.998505 -55.32478 1,606 -25.164084 -10.82106 -20.39323 -33.16449 -13.13119 -9.296517 -56.37837 1,644 -25.363489 -11.25962 -20.80624 -33.56712 -13.55748 -9.598464 -57.42936 1,682 -25.56292 -11.6963 -21.21866 -33.96963 -13.98251 -9.904231 -58.47788 1,721 -25.762377 -12.13118 -21.63051 -34.37202 -14.40635 -10.21371 -59.52407 1,761 -25.961859 -12.56437 -22.04181 -34.77431 -14.82906 -10.52678 -60.56803 1,802 -26.161363 -12.99594 -22.45259 -35.17649 -15.2507 -10.84333 -61.6099 1,844 -26.36089 -13.42599 -22.86288 -35.57858 -15.67131 -11.16324 -62.64976 1,887 -26.560438 -13.85459 -23.2727 -35.98057 -16.09096 -11.48642 -63.68773 1,931 -26.760007 -14.28182 -23.68207 -36.38247 -16.50968 -11.81274 -64.72389 1,976 -26.959594 -14.70774 -24.09101 -36.78429 -16.92752 -12.1421 -65.75834 2,022 -27.159201 -15.13243 -24.49954 -37.18602 -17.34452 -12.47439 -66.79117 2,069 -27.358825 -15.55594 -24.90768 -37.58767 -17.76073 -12.80951 -67.82244 2,117 -27.558466 -15.97833 -25.31545 -37.98926 -18.17619 -13.14735 -68.85225 2,167 -27.758123 -16.39966 -25.72287 -38.39076 -18.59092 -13.48781 -69.88065

Page 8: Bode Para Filtros Ativos -Sallen-Key

2,217 -27.957795 -16.81999 -26.12995 -38.7922 -19.00497 -13.8308 -70.90773 2,269 -28.157482 -17.23935 -26.5367 -39.19358 -19.41837 -14.17621 -71.93354 2,322 -28.357184 -17.65781 -26.94315 -39.59489 -19.83114 -14.52395 -72.95814 2,376 -28.556898 -18.0754 -27.3493 -39.99615 -20.24333 -14.87394 -73.9816 2,431 -28.756626 -18.49216 -27.75518 -40.39734 -20.65495 -15.22608 -75.00396 2,488 -28.956366 -18.90814 -28.16079 -40.79849 -21.06603 -15.58029 -76.02529 2,546 -29.156117 -19.32337 -28.56614 -41.19958 -21.4766 -15.93649 -77.04563 2,605 -29.35588 -19.7379 -28.97125 -41.60062 -21.88668 -16.29458 -78.06502 2,666 -29.555653 -20.15174 -29.37612 -42.00162 -22.2963 -16.65451 -79.08352 2,728 -29.755436 -20.56495 -29.78078 -42.40257 -22.70548 -17.01618 -80.10116 2,791 -29.95523 -20.97754 -30.18523 -42.80348 -23.11424 -17.37954 -81.11799 2,856 -30.155032 -21.38955 -30.58947 -43.20434 -23.52259 -17.7445 -82.13405 2,923 -30.354843 -21.801 -30.99352 -43.60517 -23.93056 -18.111 -83.14936 2,991 -30.554663 -22.21192 -31.39739 -44.00596 -24.33817 -18.47898 -84.16397 3,060 -30.754491 -22.62234 -31.80108 -44.40672 -24.74542 -18.84837 -85.17791 3,132 -30.954327 -23.03228 -32.2046 -44.80744 -25.15235 -19.21911 -86.19121 3,205 -31.15417 -23.44176 -32.60797 -45.20813 -25.55896 -19.59115 -87.20389 3,279 -31.35402 -23.8508 -33.01118 -45.60878 -25.96526 -19.96443 -88.216 3,356 -31.553877 -24.25943 -33.41425 -46.00941 -26.37128 -20.3389 -89.22755 3,434 -31.75374 -24.66766 -33.81718 -46.41001 -26.77702 -20.71449 -90.23858 3,514 -31.95361 -25.07551 -34.21997 -46.81058 -27.18251 -21.09118 -91.2491 3,596 -32.153485 -25.48301 -34.62264 -47.21113 -27.58774 -21.4689 -92.25914 3,679 -32.353366 -25.89016 -35.02519 -47.61165 -27.99273 -21.84762 -93.26872 3,765 -32.553252 -26.29698 -35.42762 -48.01215 -28.3975 -22.22728 -94.27786 3,853 -32.753144 -26.7035 -35.82995 -48.41262 -28.80205 -22.60785 -95.28659

Page 9: Bode Para Filtros Ativos -Sallen-Key

Curva de Bode para Filtros Ativos Implementados com as configurações Sallen KeyObs.; Rs e Cs todos iguais entre si com exeção dos relacionados ao ganho, ou seja, Ra e Rb.

Entre com:1. Número de décadas: 3 3 Décadas2. Tipo do filtro (PB, PA, PF = 1, 2, 3 ): 2 Passa Alta3. Ordem do filtro ( de 1 a 11 ): 5 5 º Ordem

Bloco 1 Bloco 2 Bloco 3 Bloco 4 Bloco 5 Bloco 6 1º Ordem 2º Ordem 2º Ordem 2º Ordem 2º Ordem 2º Ordem

4. Ra 10,000 10,000 10,000 10,000 65,685 5. Rb 18,870 15,320 28,754 28,754 10,000 6. Rs 79,570 79,570 79,570 21,856 21,072 1,591 7. Cs (nano F) 10 10 10 10 10 100

fo ou fc 200 200 200 728 755 1,000 Q 8.85 2.14 - 1.14 - 1.14 0.54 K = 1+Rb/Ra 2.89 2.532 3.875 3.875 1.152G = 2.89 2.53 3.88 3.88 1.15

Instruções: 1. Preencher apenas as células verdes,2. Não deixe as células com valor zero, pois a planilha poderá fazer divisões por zero e o gáfico não funcionará, * Caso não visualize nenhuma curva, em "Ordem do Filtro" 3. Confira o tipo de Filtro: ( Passa Baixas = 1, Passa Altas = 2 e Passa Altas =3). entre com 11 e verifique se em alguma célula azul, aparece 4. Confira o número de Blocos do seu circuito. ( Ordem do Filtro ) "#DIV/0!". Se isso ocorrer, mude os valores das células

5. Filtros Passa Faixa devem ser de ordem par!!! verdes acima de forma que "#DIV/0!" não ocorra.6. Verificar se os coeficientes das células correspondem com a ordem e o tipo selecionados!!!Anotações sobre este Filtro:Filtro da pag. 16 da apostila (resumo) com va claR1 = 100k//33k, R2=42k//42k, Rb=Ra=27k + 1k8

6

8

10

12

14

18

22

27

33

41

50

62

76

94

115

1

42

174

2

14

264

3

24

399

4

91

604

7

43

914

1

,125

1

,384

1

,702

2

,094

2

,577

3

,170

3

,900

4

,798

5

,903

-150

-100

-50

0

50

Page 10: Bode Para Filtros Ativos -Sallen-Key

Ordem do Filtro: 5 Número de Dec. 3 PB-1,PA-2,PF-3 2 2 2 2 2 2 Ra 10000 10000 10000 10000 65,685 Rb 18870 15320 28754.449 28754.449 10,000 R 0.00000001 79570 79570 21855.925 21072.128 1,591 C 79570 1E-08 1E-08 1E-08 1E-08 0.0000001 fo 200.01878 200.01878 200.01878 728.20045 755.28654 1000.3453 Q 8.8495575 2.1367521 -1.142276 -1.142276 0.5411963 G=(1+Rb/Ra) 2.887 2.532 3.8754449 3.8754449 1.1522418

Frequência Soma 6 -30.004341 -50.78243 -51.92299 -70.68037 -71.31483 -86.73254 -132.7098 7 -29.704651 -50.18181 -51.32244 -70.08034 -70.7148 -86.13256 -131.2089 7 -29.404984 -49.58115 -50.72184 -69.48031 -70.11478 -85.53258 -129.708 7 -29.10534 -48.98044 -50.12121 -68.88028 -69.51475 -84.9326 -128.207 7 -28.805721 -48.37968 -49.52053 -68.28024 -68.91471 -84.33262 -126.7059 8 -28.50613 -47.77887 -48.9198 -67.6802 -68.31468 -83.73264 -125.2048 8 -28.206568 -47.17799 -48.31901 -67.08016 -67.71464 -83.13267 -123.7036 8 -27.907038 -46.57706 -47.71818 -66.48012 -67.1146 -82.53269 -122.2023 8 -27.607541 -45.97605 -47.11728 -65.88007 -66.51455 -81.93272 -120.7009 9 -27.308079 -45.37498 -46.51631 -65.28002 -65.91451 -81.33275 -119.1994 9 -27.008657 -44.77383 -45.91528 -64.67997 -65.31446 -80.73278 -117.6978

9 -26.709275 -44.17259 -45.31418 -64.07991 -64.7144 -80.13282 -116.196 10 -26.409938 -43.57127 -44.71299 -63.47985 -64.11435 -79.53286 -114.6942 10 -26.110648 -42.96985 -44.11172 -62.87978 -63.51429 -78.9329 -113.1922 10 -25.811408 -42.36833 -43.51036 -62.27971 -62.91422 -78.33294 -111.6901 11 -25.512223 -41.76671 -42.90891 -61.67964 -62.31415 -77.73299 -110.1878

Page 11: Bode Para Filtros Ativos -Sallen-Key

11 -25.213096 -41.16496 -42.30734 -61.07955 -61.71407 -77.13304 -108.6854 11 -24.914031 -40.56309 -41.70567 -60.47947 -61.11399 -76.53309 -107.1828 12 -24.615033 -39.96109 -41.10388 -59.87937 -60.5139 -75.93315 -105.68 12 -24.316106 -39.35894 -40.50195 -59.27927 -59.91381 -75.33321 -104.177 13 -24.017255 -38.75664 -39.89989 -58.67917 -59.31371 -74.73327 -102.6738 13 -23.718487 -38.15417 -39.29769 -58.07905 -58.7136 -74.13334 -101.1703 14 -23.419806 -37.55153 -38.69532 -57.47893 -58.11349 -73.53342 -99.66665 14 -23.121219 -36.94869 -38.09278 -56.8788 -57.51337 -72.9335 -98.16269 14 -22.822732 -36.34565 -37.49006 -56.27865 -56.91324 -72.33358 -96.65845 15 -22.524354 -35.7424 -36.88715 -55.6785 -56.31309 -71.73368 -95.1539 16 -22.22609 -35.13891 -36.28403 -55.07834 -55.71294 -71.13377 -93.64902 16 -21.92795 -34.53516 -35.68068 -54.47817 -55.11278 -70.53388 -92.1438 17 -21.629942 -33.93115 -35.07709 -53.87798 -54.51261 -69.93399 -90.63819 17 -21.332076 -33.32685 -34.47325 -53.27778 -53.91242 -69.33412 -89.13218 18 -21.034361 -32.72224 -33.86913 -52.67757 -53.31222 -68.73425 -87.62573 18 -20.736808 -32.1173 -33.26471 -52.07734 -52.71201 -68.13438 -86.11882 19 -20.439429 -31.512 -32.65997 -51.47709 -52.11178 -67.53453 -84.6114 20 -20.142235 -30.90632 -32.0549 -50.87683 -51.51154 -66.93469 -83.10345 20 -19.84524 -30.30023 -31.44945 -50.27654 -50.91127 -66.33487 -81.59492 21 -19.548457 -29.69369 -30.84362 -49.67624 -50.31099 -65.73505 -80.08577 22 -19.251902 -29.08669 -30.23737 -49.07592 -49.71069 -65.13525 -78.57596 23 -18.955591 -28.47917 -29.63066 -48.47557 -49.11037 -64.53546 -77.06543 24 -18.659539 -27.87112 -29.02347 -47.8752 -48.51002 -63.93568 -75.55413 24 -18.363766 -27.26248 -28.41576 -47.2748 -47.90965 -63.33593 -74.04201 25 -18.068291 -26.65321 -27.8075 -46.67437 -47.30925 -62.73619 -72.529 26 -17.773135 -26.04326 -27.19864 -46.07391 -46.70883 -62.13646 -71.01504 27 -17.478318 -25.4326 -26.58913 -45.47342 -46.10837 -61.53676 -69.50005 28 -17.183866 -24.82115 -25.97894 -44.8729 -45.50788 -60.93708 -67.98396 29 -16.889802 -24.20888 -25.36801 -44.27233 -44.90736 -60.33743 -66.46669 30 -16.596154 -23.5957 -24.75629 -43.67173 -44.3068 -59.73779 -64.94814 31 -16.30295 -22.98156 -24.14371 -43.07108 -43.7062 -59.13819 -63.42822 32 -16.01022 -22.36638 -23.53023 -42.47039 -43.10555 -58.53861 -61.90683

Page 12: Bode Para Filtros Ativos -Sallen-Key

33 -15.717997 -21.75009 -22.91576 -41.86965 -42.50486 -57.93906 -60.38385 34 -15.426315 -21.1326 -22.30023 -41.26885 -41.90412 -57.33954 -58.85915 36 -15.135209 -20.51383 -21.68358 -40.668 -41.30333 -56.74006 -57.33261 37 -14.84472 -19.89366 -21.0657 -40.06709 -40.70248 -56.14062 -55.80408 38 -14.554888 -19.272 -20.44652 -39.46611 -40.10157 -55.54121 -54.27341 39 -14.265756 -18.64873 -19.82594 -38.86506 -39.5006 -54.94185 -52.74042 41 -13.977372 -18.02373 -19.20384 -38.26394 -38.89955 -54.34253 -51.20494 42 -13.689784 -17.39686 -18.58012 -37.66273 -38.29843 -53.74326 -49.66676 44 -13.403045 -16.76798 -17.95465 -37.06144 -37.69724 -53.14405 -48.12567 45 -13.117209 -16.13693 -17.3273 -36.46006 -37.09595 -52.54489 -46.58143 47 -12.832336 -15.50353 -16.69792 -35.85858 -36.49458 -51.94579 -45.03379 49 -12.548485 -14.86761 -16.06637 -35.257 -35.8931 -51.34675 -43.48246 50 -12.265724 -14.22895 -15.43247 -34.6553 -35.29152 -50.74779 -41.92715 52 -11.984119 -13.58734 -14.79605 -34.05348 -34.68983 -50.1489 -40.36751 54 -11.703745 -12.94254 -14.1569 -33.45153 -34.08802 -49.55008 -38.80318 56 -11.424675 -12.29427 -13.51481 -32.84944 -33.48607 -48.95136 -37.23376 58 -11.146992 -11.64226 -12.86956 -32.2472 -32.88399 -48.35272 -35.65882 60 -10.870778 -10.98619 -12.2209 -31.6448 -32.28176 -47.75418 -34.07787 62 -10.596121 -10.32571 -11.56854 -31.04223 -31.67937 -47.15574 -32.49038 64 -10.323114 -9.660442 -10.91221 -30.43948 -31.07681 -46.55742 -30.89577 66 -10.051852 -8.989964 -10.25158 -29.83653 -30.47407 -45.95922 -29.29339 69 -9.7824355 -8.313817 -9.586296 -29.23337 -29.87114 -45.36114 -27.68255 71 -9.5149694 -7.631488 -8.915989 -28.62999 -29.26799 -44.76321 -26.06245 73 -9.2495618 -6.942412 -8.240243 -28.02636 -28.66462 -44.16542 -24.43222 76 -8.9863248 -6.245958 -7.558609 -27.42248 -28.06101 -43.56779 -22.79089 79 -8.7253749 -5.541424 -6.8706 -26.81832 -27.45714 -42.97033 -21.1374 81 -8.4668316 -4.828026 -6.175682 -26.21386 -26.853 -42.37305 -19.47054 84 -8.2108185 -4.104883 -5.473273 -25.60909 -26.24856 -41.77596 -17.78897 87 -7.9574621 -3.371004 -4.762741 -25.00398 -25.64381 -41.17908 -16.09121 90 -7.7068917 -2.62527 -4.043396 -24.3985 -25.03871 -40.58243 -14.37556 94 -7.4592395 -1.866407 -3.314489 -23.79264 -24.43326 -39.98601 -12.64014 97 -7.2146396 -1.092967 -2.575205 -23.18636 -23.82742 -39.38986 -10.88281

Page 13: Bode Para Filtros Ativos -Sallen-Key

100 -6.9732279 -0.303285 -1.824663 -22.57964 -23.22117 -38.79397 -9.101175 104 -6.7351415 0.5045575 -1.061915 -21.97243 -22.61447 -38.19838 -7.292499 107 -6.5005178 1.3327852 -0.285948 -21.36472 -22.00729 -37.60311 -5.45368 111 -6.2694945 2.1839996 0.5043126 -20.75646 -21.39961 -37.00817 -3.581182 115 -6.0422084 3.0612637 1.309982 -20.14762 -20.79139 -36.4136 -1.670963 119 -5.8187948 3.9682158 2.1321943 -19.53816 -20.18258 -35.81941 0.2816153 123 -5.5993869 4.9092184 2.9720544 -18.92802 -19.57315 -35.22564 2.2818859 128 -5.3841146 5.889559 3.8305624 -18.31717 -18.96305 -34.63232 4.3360068 132 -5.1731042 6.9157237 4.7084924 -17.70556 -18.35225 -34.03947 6.4511119 137 -4.9664769 7.9957758 5.6062023 -17.09313 -17.74068 -33.44713 8.6355011 142 -4.7643486 9.1398935 6.5233382 -16.47983 -17.1283 -32.85535 10.898883 147 -4.5668285 10.361145 7.4583849 -15.86559 -16.51505 -32.26414 13.252701 152 -4.3740185 11.67663 8.4079968 -15.25036 -15.90087 -31.67357 15.710608 157 -4.1860123 13.109187 9.3660361 -14.63407 -15.2857 -31.08367 18.289211 163 -4.0028947 14.689969 10.32227 -14.01664 -14.66947 -30.49449 21.009344 168 -3.8247408 16.462188 11.260782 -13.398 -14.05211 -29.90609 23.898229 174 -3.6516153 18.485695 12.158436 -12.77808 -13.43354 -29.31851 26.992516 180 -3.483572 20.837282 12.984218 -12.15677 -12.81369 -28.73182 30.337928 187 -3.3206534 23.572906 13.700928 -11.534 -12.19246 -28.14608 33.953182 193 -3.1628899 26.467995 14.27072 -10.90967 -11.56978 -27.56135 37.575824

fo = 200 -3.0103 28.147367 14.664357 -10.28368 -10.94554 -26.97772 39.801424 207 -2.8628899 27.067995 14.87072 -9.655931 -10.31965 -26.39525 39.075824 214 -2.7206534 24.772906 14.900928 -9.026309 -9.692006 -25.81404 36.953182 222 -2.583572 22.637282 14.784218 -8.394702 -9.062493 -25.23416 34.837928 230 -2.4516153 20.885695 14.558436 -7.760995 -8.431004 -24.65571 32.992516 238 -2.3247408 19.462188 14.260782 -7.125067 -7.797421 -24.0788 31.398229 246 -2.2028947 18.289969 13.92227 -6.486797 -7.161623 -23.50352 30.009344 255 -2.0860123 17.309187 13.566036 -5.846059 -6.52349 -22.93001 28.789211 264 -1.9740185 16.47663 13.207997 -5.202732 -5.882898 -22.35837 27.710608 273 -1.8668285 15.761145 12.858385 -4.556693 -5.239722 -21.78875 26.752701 283 -1.7643486 15.139894 12.523338 -3.907826 -4.593842 -21.22128 25.898883 292 -1.6664769 14.595776 12.206202 -3.256024 -3.945141 -20.6561 25.135501

Page 14: Bode Para Filtros Ativos -Sallen-Key

303 -1.5731042 14.115724 11.908492 -2.601191 -3.29351 -20.09339 24.451112 313 -1.4841146 13.689559 11.630562 -1.94325 -2.638853 -19.5333 23.836007 324 -1.3993869 13.309218 11.372054 -1.28215 -1.981092 -18.97603 23.281886 336 -1.3187948 12.968216 11.132194 -0.617872 -1.320174 -18.42175 22.781615 348 -1.2422084 12.661264 10.909982 0.0495564 -0.656078 -17.87067 22.329037 360 -1.1694945 12.384 10.704313 0.7200474 0.011171 -17.32301 21.918818 372 -1.1005178 12.132785 10.514052 1.3934377 0.6814897 -16.77899 21.54632 386 -1.0351415 11.904558 10.338085 2.0694655 1.3547197 -16.23886 21.207501 399 -0.9732279 11.696715 10.175337 2.7477443 2.0306052 -15.70286 20.898825 413 -0.9146396 11.507033 10.024795 3.4277308 2.7087679 -15.17127 20.617189 428 -0.8592395 11.333593 9.8855111 4.108686 3.3886743 -14.64436 20.359864 443 -0.8068917 11.17473 9.7566036 4.7896298 4.069598 -14.12242 20.124442 458 -0.7574621 11.028996 9.6372589 5.4692873 4.7505738 -13.60577 19.908793 474 -0.7108185 10.895117 9.526727 6.1460295 5.4303455 -13.09472 19.711026 491 -0.6668316 10.771974 9.4243184 6.8178081 6.1073061 -12.58961 19.529461 508 -0.6253749 10.658576 9.3294 7.4820906 6.7794331 -12.09077 19.362601 526 -0.5863248 10.554042 9.2413906 8.1358 7.4442236 -11.59856 19.209108 545 -0.5495618 10.457588 9.1597574 8.7752722 8.0986331 -11.11336 19.067784 564 -0.5149694 10.368512 9.0840113 9.396243 8.739032 -10.63551 18.937553 584 -0.4824355 10.286183 9.0137036 9.9938857 9.3611901 -10.16542 18.817451 604 -0.4518516 10.210036 8.9484224 10.562917 9.9603107 -9.703446 18.706606 625 -0.4231135 10.139558 8.8877893 11.097791 10.531133 -9.249985 18.604234 647 -0.3961209 10.074289 8.8314566 11.592986 11.068118 -8.805414 18.509624 670 -0.3707776 10.013808 8.7791045 12.043371 11.565734 -8.37011 18.422135 694 -0.3469918 9.9577358 8.7304387 12.44463 12.018818 -7.944443 18.341183 718 -0.3246754 9.9057257 8.6851884 12.793664 12.422993 -7.528769 18.266239 743 -0.3037446 9.8574622 8.6431039 13.088912 12.775082 -7.123431 18.196822 769 -0.2841194 9.8126572 8.6039549 13.330528 13.073429 -6.728752 18.132493 796 -0.2657238 9.7710471 8.5675292 13.52036 13.318088 -6.345032 18.072852 824 -0.2484854 9.7323906 8.5336305 13.661747 13.510814 -5.972544 18.017536 853 -0.2323356 9.6964666 8.5020779 13.759182 13.654869 -5.611531 17.966209 883 -0.2172094 9.663072 8.4727038 13.817891 13.75469 -5.262202 17.918566

Page 15: Bode Para Filtros Ativos -Sallen-Key

914 -0.2030451 9.6320201 8.4453534 13.843427 13.815473 -4.924728 17.874328 946 -0.1897844 9.6031391 8.4198834 13.841307 13.842761 -4.599243 17.833238 980 -0.1773722 9.576271 8.3961612 13.816745 13.842083 -4.285838 17.79506 1,014 -0.1657563 9.5512699 8.374064 13.774476 13.818676 -3.98456 17.759578 1,050 -0.1548877 9.5280014 8.3534778 13.718657 13.777305 -3.695414 17.726591 1,087 -0.1447199 9.5063412 8.3342971 13.652848 13.722161 -3.418362 17.695918 1,125 -0.1352092 9.4861747 8.3164241 13.580027 13.65684 -3.153321 17.66739 1,164 -0.1263145 9.4673958 8.2997678 13.502636 13.584351 -2.900167 17.640849 1,205 -0.117997 9.4499064 8.284244 13.422645 13.507165 -2.658736 17.616153 1,248 -0.1102203 9.4336156 8.2697744 13.341616 13.427277 -2.428827 17.59317 1,291 -0.1029501 9.4184392 8.2562863 13.260768 13.346271 -2.210204 17.571775 1,337 -0.0961541 9.4042994 8.2437121 13.181034 13.265385 -2.0026 17.551857 1,384 -0.0898021 9.3911238 8.2319891 13.103117 13.185567 -1.805719 17.533311 1,432 -0.0838657 9.3788454 8.2210589 13.027529 13.10753 -1.619245 17.516039 1,483 -0.0783182 9.3674019 8.2108673 12.954633 13.031797 -1.442837 17.499951 1,535 -0.0731345 9.3567357 8.2013638 12.884672 12.958739 -1.276142 17.484965 1,589 -0.0682913 9.346793 8.1925014 12.817794 12.888605 -1.118793 17.471003 1,645 -0.0637664 9.337524 8.1842365 12.754074 12.821547 -0.970414 17.457994 1,702 -0.0595393 9.3288826 8.1765284 12.693532 12.757645 -0.830624 17.445872 1,762 -0.0555907 9.3208255 8.1693393 12.636143 12.696921 -0.699042 17.434574 1,824 -0.0519023 9.3133129 8.1626339 12.58185 12.639352 -0.575284 17.424044 1,888 -0.0484573 9.3063075 8.1563795 12.530571 12.584883 -0.458973 17.41423 1,955 -0.0452398 9.2997747 8.1505456 12.482211 12.533434 -0.349736 17.40508 2,023 -0.0422348 9.2936823 8.1451036 12.436657 12.484909 -0.247206 17.396551 2,094 -0.0394286 9.2880003 8.1400271 12.393795 12.439198 -0.151029 17.388599 2,168 -0.036808 9.2827009 8.1352915 12.3535 12.396184 -0.060857 17.381184 2,244 -0.0343609 9.2777581 8.1308736 12.315651 12.355745 0.0236441 17.374271 2,323 -0.0320759 9.2731477 8.126752 12.280122 12.317759 0.1027958 17.367824 2,405 -0.0299424 9.2688472 8.1229069 12.246793 12.282101 0.1769077 17.361812 2,489 -0.0279503 9.2648356 8.1193195 12.215544 12.248649 0.246276 17.356205 2,577 -0.0260903 9.2610935 8.1159726 12.186259 12.217283 0.3111834 17.350976 2,667 -0.0243538 9.2576025 8.1128499 12.158826 12.187889 0.3718993 17.346099

Page 16: Bode Para Filtros Ativos -Sallen-Key

2,761 -0.0227325 9.2543458 8.1099364 12.133137 12.160352 0.4286795 17.34155 2,858 -0.0212189 9.2513076 8.1072179 12.109089 12.134566 0.4817667 17.337307 2,958 -0.0198059 9.2484731 8.1046815 12.086583 12.110426 0.5313909 17.333349 3,062 -0.0184867 9.2458286 8.1023149 12.065527 12.087835 0.5777693 17.329657 3,170 -0.0172553 9.2433613 8.1001067 12.045832 12.066698 0.621107 17.326213 3,281 -0.0161057 9.2410593 8.0980462 12.027412 12.046927 0.6615974 17.323 3,397 -0.0150325 9.2389116 8.0961236 12.01019 12.028436 0.6994226 17.320003 3,516 -0.0140308 9.2369076 8.0943296 11.994089 12.011147 0.7347539 17.317206 3,640 -0.0130957 9.2350378 8.0926556 11.979039 11.994984 0.7677522 17.314598 3,768 -0.0122229 9.2332932 8.0910935 11.964973 11.979875 0.7985689 17.312164 3,900 -0.0114081 9.2316654 8.0896359 11.951829 11.965755 0.8273458 17.309893 4,037 -0.0106476 9.2301464 8.0882758 11.939547 11.952559 0.8542161 17.307775 4,179 -0.0099377 9.2287291 8.0870065 11.928072 11.94023 0.8793043 17.305798 4,326 -0.0092751 9.2274066 8.0858221 11.917352 11.92871 0.9027275 17.303954 4,478 -0.0086567 9.2261725 8.0847169 11.907338 11.917948 0.924595 17.302233 4,635 -0.0080794 9.225021 8.0836855 11.897985 11.907895 0.9450093 17.300627 4,798 -0.0075406 9.2239464 8.082723 11.889248 11.898504 0.9640663 17.299129 4,967 -0.0070377 9.2229437 8.0818249 11.881089 11.889734 0.9818555 17.297731 5,141 -0.0065683 9.2220081 8.0809868 11.873469 11.881542 0.9984608 17.296427 5,322 -0.0061302 9.2211349 8.0802046 11.866354 11.873893 1.0139607 17.295209 5,509 -0.0057213 9.2203202 8.0794747 11.859709 11.866749 1.0284283 17.294074 5,703 -0.0053397 9.2195598 8.0787936 11.853505 11.860078 1.0419322 17.293014 5,903 -0.0049835 9.2188503 8.078158 11.847711 11.853849 1.0545362 17.292025 6,110 -0.0046511 9.2181882 8.0775648 11.842302 11.848033 1.0663003 17.291102 6,325 -0.0043408 9.2175703 8.0770113 11.837252 11.842603 1.0772802 17.290241

Page 17: Bode Para Filtros Ativos -Sallen-Key

Curva de Bode para Filtros Ativos Implementados com as configurações Sallen KeyObs.; Rs e Cs todos iguais entre si com exeção dos relacionados ao ganho, ou seja, Ra e Rb.

Entre com:1. Número de décadas: 3 3 Décadas2. Tipo do filtro (PB, PA, PF = 1, 2, 3 ): 2 Passa Alta3. Ordem do filtro ( de 1 a 11 ): 5 5 º Ordem

Bloco 1 Bloco 2 Bloco 3 Bloco 4 Bloco 5 Bloco 6 1º Ordem 2º Ordem 2º Ordem 2º Ordem 2º Ordem 2º Ordem

4. Ra 10,000 10,000 65,685 65,685 65,685 5. Rb 15,320 18,870 10,000 10,000 10,000 6. Rs 5,650 19,540 30,780 1,591 1,591 1,591 7. Cs (nano F) 10 10 10 100 100 100

fo ou fc 2,817 815 517 1,000 1,000 1,000 Q 2.14 8.85 0.54 0.54 0.54 K = 1+Rb/Ra 2.53 2.887 1.152 1.152 1.152G = 2.53 2.89 1.15 1.15 1.15

Instruções: 1. Preencher apenas as células verdes,2. Não deixe as células com valor zero, pois a planilha poderá fazer divisões por zero e o gáfico não funcionará, * Caso não visualize nenhuma curva, em "Ordem do Filtro" 3. Confira o tipo de Filtro: ( Passa Baixas = 1, Passa Altas = 2 e Passa Altas =3). entre com 11 e verifique se em alguma célula azul, aparece 4. Confira o número de Blocos do seu circuito. ( Ordem do Filtro ) "#DIV/0!". Se isso ocorrer, mude os valores das células

5. Filtros Passa Faixa devem ser de ordem par!!! verdes acima de forma que "#DIV/0!" não ocorra.6. Verificar se os coeficientes das células correspondem com a ordem e o tipo selecionados!!!Anotações sobre este Filtro:Filtro da pag. 5 da apostila (resumo) com valores teóricos:

26

32

39

48

59

73

89

110

1

35

166

2

05

252

3

10

381

4

69

577

7

09

873

1

,074

1

,321

1

,625

1

,999

2

,460

3

,026

3

,723

4

,580

5

,635

6

,933

8

,529

1

0,49

3 1

2,90

9 1

5,88

2 1

9,53

9 2

4,03

8

-160

-140

-120

-100

-80

-60

-40

-20

0

20

40

Page 18: Bode Para Filtros Ativos -Sallen-Key

Ordem do filtro: 5 núm. de dec.(n) 3 PB-1,PA-2,PF-3 2 2 2 2 2 2 Ra 10000 10000 65685 65685 65,685 Rb 15320 18870 10000 10000 10,000 R 0.00000001 19540 30780 1591 1591 1,591 C 5650 1E-08 1E-08 0.0000001 0.0000001 0.0000001 fo 2816.90165 814.50841 517.07259 1000.3453 1000.3453 1000.3453 Q 2.1367521 8.8495575 0.5411963 0.5411963 0.5411963 G=(1+Rb/Ra) 2.532 2.887 1.1522418 1.1522418 1.1522418

Frequência Soma 26 -40.777885 -51.92299 -42.87586 -62.34337 -62.34337 -62.34337 -135.5767 27 -40.477911 -51.32244 -42.27433 -61.74367 -61.74367 -61.74367 -134.0747 28 -40.177939 -50.72184 -41.67268 -61.14398 -61.14398 -61.14398 -132.5725 29 -39.877969 -50.12121 -41.07092 -60.54431 -60.54431 -60.54431 -131.0701 30 -39.578001 -49.52053 -40.46903 -59.94467 -59.94467 -59.94467 -129.5676 31 -39.278035 -48.9198 -39.867 -59.34505 -59.34505 -59.34505 -128.0648 32 -38.978072 -48.31901 -39.26483 -58.74547 -58.74547 -58.74547 -126.5619 33 -38.678111 -47.71818 -38.6625 -58.14591 -58.14591 -58.14591 -125.0588 34 -38.378153 -47.11728 -38.06001 -57.54638 -57.54638 -57.54638 -123.5554 35 -38.078198 -46.51631 -37.45733 -56.94689 -56.94689 -56.94689 -122.0518 36 -37.778247 -45.91528 -36.85447 -56.34743 -56.34743 -56.34743 -120.548

38 -37.478298 -45.31418 -36.2514 -55.74801 -55.74801 -55.74801 -119.0439 39 -37.178354 -44.71299 -35.64811 -55.14863 -55.14863 -55.14863 -117.5395 40 -36.878413 -44.11172 -35.04458 -54.5493 -54.5493 -54.5493 -116.0347 42 -36.578477 -43.51036 -34.44079 -53.95001 -53.95001 -53.95001 -114.5296 43 -36.278545 -42.90891 -33.83674 -53.35078 -53.35078 -53.35078 -113.0242

Page 19: Bode Para Filtros Ativos -Sallen-Key

45 -35.978619 -42.30734 -33.23239 -52.7516 -52.7516 -52.7516 -111.5184 46 -35.678697 -41.70567 -32.62773 -52.15248 -52.15248 -52.15248 -110.0121 48 -35.378781 -41.10388 -32.02273 -51.55342 -51.55342 -51.55342 -108.5054 50 -35.078871 -40.50195 -31.41738 -50.95443 -50.95443 -50.95443 -106.9982 51 -34.778968 -39.89989 -30.81163 -50.35551 -50.35551 -50.35551 -105.4905 53 -34.479071 -39.29769 -30.20547 -49.75667 -49.75667 -49.75667 -103.9822 55 -34.179182 -38.69532 -29.59887 -49.15791 -49.15791 -49.15791 -102.4734 57 -33.8793 -38.09278 -28.99179 -48.55925 -48.55925 -48.55925 -100.9639 59 -33.579427 -37.49006 -28.38419 -47.96067 -47.96067 -47.96067 -99.45368 61 -33.279564 -36.88715 -27.77604 -47.3622 -47.3622 -47.3622 -97.94276 63 -32.97971 -36.28403 -27.16731 -46.76384 -46.76384 -46.76384 -96.43104 65 -32.679866 -35.68068 -26.55794 -46.16559 -46.16559 -46.16559 -94.91848 68 -32.380034 -35.07709 -25.94788 -45.56747 -45.56747 -45.56747 -93.40501 70 -32.080213 -34.47325 -25.3371 -44.96949 -44.96949 -44.96949 -91.89056 73 -31.780406 -33.86913 -24.72553 -44.37165 -44.37165 -44.37165 -90.37506 75 -31.480612 -33.26471 -24.11312 -43.77396 -43.77396 -43.77396 -88.85844 78 -31.180833 -32.65997 -23.49979 -43.17644 -43.17644 -43.17644 -87.3406 81 -30.881069 -32.0549 -22.8855 -42.57909 -42.57909 -42.57909 -85.82146 83 -30.581323 -31.44945 -22.27015 -41.98194 -41.98194 -41.98194 -84.30093 86 -30.281594 -30.84362 -21.65368 -41.38499 -41.38499 -41.38499 -82.77889 89 -29.981886 -30.23737 -21.03599 -40.78826 -40.78826 -40.78826 -81.25525 92 -29.682197 -29.63066 -20.41701 -40.19176 -40.19176 -40.19176 -79.72986 96 -29.382532 -29.02347 -19.79661 -39.59551 -39.59551 -39.59551 -78.20262 99 -29.08289 -28.41576 -19.17471 -38.99953 -38.99953 -38.99953 -76.67336 103 -28.783273 -27.8075 -18.55118 -38.40383 -38.40383 -38.40383 -75.14195 106 -28.483684 -27.19864 -17.92589 -37.80845 -37.80845 -37.80845 -73.60822 110 -28.184125 -26.58913 -17.29872 -37.21339 -37.21339 -37.21339 -72.07198 114 -27.884596 -25.97894 -16.66951 -36.61869 -36.61869 -36.61869 -70.53305 118 -27.585102 -25.36801 -16.03811 -36.02437 -36.02437 -36.02437 -68.99122 122 -27.285644 -24.75629 -15.40433 -35.43045 -35.43045 -35.43045 -67.44626 126 -26.986224 -24.14371 -14.76799 -34.83697 -34.83697 -34.83697 -65.89793 131 -26.686845 -23.53023 -14.12889 -34.24396 -34.24396 -34.24396 -64.34596

Page 20: Bode Para Filtros Ativos -Sallen-Key

135 -26.387511 -22.91576 -13.4868 -33.65144 -33.65144 -33.65144 -62.79006 140 -26.088225 -22.30023 -12.84147 -33.05946 -33.05946 -33.05946 -61.22993 145 -25.788989 -21.68358 -12.19264 -32.46805 -32.46805 -32.46805 -59.6652 150 -25.489808 -21.0657 -11.54002 -31.87725 -31.87725 -31.87725 -58.09553 155 -25.190686 -20.44652 -10.88328 -31.28711 -31.28711 -31.28711 -56.52049 161 -24.891626 -19.82594 -10.22208 -30.69768 -30.69768 -30.69768 -54.93964 166 -24.592633 -19.20384 -9.556021 -30.109 -30.109 -30.109 -53.35249 172 -24.293711 -18.58012 -8.884689 -29.52113 -29.52113 -29.52113 -51.75852 178 -23.994867 -17.95465 -8.207611 -28.93413 -28.93413 -28.93413 -50.15712 184 -23.696105 -17.3273 -7.524266 -28.34805 -28.34805 -28.34805 -48.54767 191 -23.397431 -16.69792 -6.83408 -27.76297 -27.76297 -27.76297 -46.92943 198 -23.098851 -16.06637 -6.136411 -27.17895 -27.17895 -27.17895 -45.30163 205 -22.800372 -15.43247 -5.430546 -26.59607 -26.59607 -26.59607 -43.66339 212 -22.502002 -14.79605 -4.715686 -26.01442 -26.01442 -26.01442 -42.01373 219 -22.203748 -14.1569 -3.990934 -25.43407 -25.43407 -25.43407 -40.35158 227 -21.905617 -13.51481 -3.25528 -24.85511 -24.85511 -24.85511 -38.67571 235 -21.607619 -12.86956 -2.507582 -24.27766 -24.27766 -24.27766 -36.98476 243 -21.309764 -12.2209 -1.746542 -23.70181 -23.70181 -23.70181 -35.2772 252 -21.012061 -11.56854 -0.970679 -23.12767 -23.12767 -23.12767 -33.55128 261 -20.71452 -10.91221 -0.178293 -22.55538 -22.55538 -22.55538 -31.80502 270 -20.417155 -10.25158 0.6325798 -21.98504 -21.98504 -21.98504 -30.03615 279 -20.119975 -9.586296 1.4642175 -21.41681 -21.41681 -21.41681 -28.24205 289 -19.822996 -8.915989 2.3192876 -20.85083 -20.85083 -20.85083 -26.4197 299 -19.52623 -8.240243 3.2009348 -20.28725 -20.28725 -20.28725 -24.56554 310 -19.229692 -7.558609 4.1128995 -19.72623 -19.72623 -19.72623 -22.6754 321 -18.9334 -6.8706 5.0596741 -19.16797 -19.16797 -19.16797 -20.74433 332 -18.637368 -6.175682 6.0467131 -18.61263 -18.61263 -18.61263 -18.76634 343 -18.341617 -5.473273 7.0807207 -18.06043 -18.06043 -18.06043 -16.73417 356 -18.046165 -4.762741 8.1700505 -17.51156 -17.51156 -17.51156 -14.63886 368 -17.751033 -4.043396 9.3252737 -16.96626 -16.96626 -16.96626 -12.46916 381 -17.456243 -3.314489 10.560001 -16.42476 -16.42476 -16.42476 -10.21073 394 -17.161819 -2.575205 11.8921 -15.88731 -15.88731 -15.88731 -7.844924

Page 21: Bode Para Filtros Ativos -Sallen-Key

408 -16.867786 -1.824663 13.345511 -15.35416 -15.35416 -15.35416 -5.346938 423 -16.57417 -1.061915 14.952991 -14.8256 -14.8256 -14.8256 -2.683094 437 -16.281 -0.285948 16.760052 -14.30192 -14.30192 -14.30192 0.1931047 453 -15.988307 0.5043126 18.829466 -13.78341 -13.78341 -13.78341 3.345471 469 -15.696123 1.309982 21.23934 -13.27039 -13.27039 -13.27039 6.8531985 485 -15.404483 2.1321943 24.030101 -12.76319 -12.76319 -12.76319 10.757813 502 -15.113422 2.9720544 26.869564 -12.26214 -12.26214 -12.26214 14.728197 520 -14.822981 3.8305624 28.154794 -11.76761 -11.76761 -11.76761 17.162376 538 -14.533199 4.7084924 26.73368 -11.27995 -11.27995 -11.27995 16.908973 557 -14.244122 5.6062023 24.415618 -10.79952 -10.79952 -10.79952 15.777698 577 -13.955796 6.5233382 22.338725 -10.32671 -10.32671 -10.32671 14.906267 597 -13.66827 7.4583849 20.643701 -9.86189 -9.86189 -9.86189 14.433816 618 -13.381597 8.4079968 19.264182 -9.40545 -9.40545 -9.40545 14.290582 640 -13.095831 9.3660361 18.125351 -8.957769 -8.957769 -8.957769 14.395557 662 -12.811032 10.32227 17.170222 -8.519225 -8.519225 -8.519225 14.68146 685 -12.527261 11.260782 16.357765 -8.090192 -8.090192 -8.090192 15.091286 709 -12.244583 12.158436 15.658341 -7.671031 -7.671031 -7.671031 15.572194 734 -11.963069 12.984218 15.050151 -7.26209 -7.26209 -7.26209 16.071301 760 -11.682789 13.700928 14.516822 -6.863698 -6.863698 -6.863698 16.534962 787 -11.403821 14.27072 14.045801 -6.476165 -6.476165 -6.476165 16.9127

fo = 815 -11.126244 14.664357 13.627283 -6.099773 -6.099773 -6.099773 17.165396 843 -10.850144 14.87072 13.253483 -5.734775 -5.734775 -5.734775 17.274059 873 -10.575607 14.900928 12.918124 -5.381393 -5.381393 -5.381393 17.243445 903 -10.302727 14.784218 12.616078 -5.039813 -5.039813 -5.039813 17.097569 935 -10.0316 14.558436 12.343109 -4.710179 -4.710179 -4.710179 16.869945 968 -9.7623265 14.260782 12.095676 -4.392598 -4.392598 -4.392598 16.594132 1,002 -9.4950108 13.92227 11.870795 -4.087133 -4.087133 -4.087133 16.298054 1,037 -9.2297618 13.566036 11.665929 -3.793804 -3.793804 -3.793804 16.002203 1,074 -8.9666922 13.207997 11.478904 -3.512587 -3.512587 -3.512587 15.720208 1,111 -8.7059184 12.858385 11.307845 -3.243414 -3.243414 -3.243414 15.460312 1,151 -8.4475604 12.523338 11.151125 -2.986175 -2.986175 -2.986175 15.226903 1,191 -8.1917419 12.206202 11.007323 -2.74072 -2.74072 -2.74072 15.021783

Page 22: Bode Para Filtros Ativos -Sallen-Key

1,233 -7.9385897 11.908492 10.875192 -2.506861 -2.506861 -2.506861 14.845095 1,276 -7.6882334 11.630562 10.753635 -2.284373 -2.284373 -2.284373 14.695964 1,321 -7.4408052 11.372054 10.641677 -2.072999 -2.072999 -2.072999 14.572927 1,367 -7.1964395 11.132194 10.538456 -1.872453 -1.872453 -1.872453 14.47421 1,415 -6.9552721 10.909982 10.443199 -1.682426 -1.682426 -1.682426 14.397908 1,465 -6.7174403 10.704313 10.355216 -1.502584 -1.502584 -1.502584 14.342089 1,517 -6.4830817 10.514052 10.273889 -1.332579 -1.332579 -1.332579 14.30486 1,570 -6.2523337 10.338085 10.19866 -1.172047 -1.172047 -1.172047 14.284412 1,625 -6.025333 10.175337 10.129026 -1.020616 -1.020616 -1.020616 14.27903 1,682 -5.802215 10.024795 10.064532 -0.877907 -0.877907 -0.877907 14.287112 1,741 -5.5831125 9.8855111 10.004764 -0.743536 -0.743536 -0.743536 14.307163 1,803 -5.3681552 9.7566036 9.9493487 -0.617122 -0.617122 -0.617122 14.337797 1,866 -5.1574691 9.6372589 9.8979442 -0.498284 -0.498284 -0.498284 14.377734 1,932 -4.951175 9.526727 9.8502395 -0.386648 -0.386648 -0.386648 14.425792 1,999 -4.7493882 9.4243184 9.8059505 -0.281845 -0.281845 -0.281845 14.480881 2,070 -4.5522176 9.3294 9.7648173 -0.183515 -0.183515 -0.183515 14.542 2,142 -4.3597644 9.2413906 9.726602 -0.09131 -0.09131 -0.09131 14.608228 2,218 -4.1721217 9.1597574 9.6910862 -0.004889 -0.004889 -0.004889 14.678722 2,296 -3.9893735 9.0840113 9.6580696 0.0760723 0.0760723 0.0760723 14.752707 2,376 -3.8115942 9.0137036 9.6273679 0.1518888 0.1518888 0.1518888 14.829477 2,460 -3.6388478 8.9484224 9.5988116 0.2228611 0.2228611 0.2228611 14.908386 2,546 -3.4711872 8.8877893 9.5722445 0.2892765 0.2892765 0.2892765 14.988847 2,636 -3.3086538 8.8314566 9.5475228 0.3514089 0.3514089 0.3514089 15.070326 2,728 -3.1512775 8.7791045 9.5245135 0.4095188 0.4095188 0.4095188 15.152341 2,824 -2.9990756 8.7304387 9.5030941 0.4638536 0.4638536 0.4638536 15.234457 2,923 -2.8520535 8.6851884 9.4831512 0.5146474 0.5146474 0.5146474 15.316286 3,026 -2.7102041 8.6431039 9.4645801 0.5621219 0.5621219 0.5621219 15.39748 3,133 -2.5735079 8.6039549 9.4472838 0.6064862 0.6064862 0.6064862 15.477731 3,243 -2.4419336 8.5675292 9.4311725 0.6479378 0.6479378 0.6479378 15.556768 3,357 -2.3154379 8.5336305 9.4161631 0.6866627 0.6866627 0.6866627 15.634356 3,475 -2.1939661 8.5020779 9.4021786 0.7228357 0.7228357 0.7228357 15.71029 3,597 -2.0774527 8.4727038 9.3891475 0.7566213 0.7566213 0.7566213 15.784399

Page 23: Bode Para Filtros Ativos -Sallen-Key

3,723 -1.9658218 8.4453534 9.3770036 0.7881742 0.7881742 0.7881742 15.856535 3,854 -1.8589881 8.4198834 9.3656853 0.8176394 0.8176394 0.8176394 15.926581 3,989 -1.7568571 8.3961612 9.3551355 0.845153 0.845153 0.845153 15.99444 4,129 -1.6593264 8.374064 9.3453013 0.8708424 0.8708424 0.8708424 16.060039 4,275 -1.5662861 8.3534778 9.3361334 0.8948274 0.8948274 0.8948274 16.123325 4,425 -1.4776201 8.3342971 9.327586 0.9172197 0.9172197 0.9172197 16.184263 4,580 -1.3932067 8.3164241 9.3196166 0.9381242 0.9381242 0.9381242 16.242834 4,741 -1.3129193 8.2997678 9.3121856 0.957639 0.957639 0.957639 16.299034 4,908 -1.2366277 8.284244 9.3052563 0.9758559 0.9758559 0.9758559 16.352873 5,080 -1.1641985 8.2697744 9.2987943 0.9928605 0.9928605 0.9928605 16.40437 5,259 -1.0954963 8.2562863 9.292768 1.0087333 1.0087333 1.0087333 16.453558 5,444 -1.0303842 8.2437121 9.2871476 1.023549 1.023549 1.023549 16.500476 5,635 -0.9687246 8.2319891 9.2819056 1.037378 1.037378 1.037378 16.54517 5,833 -0.9103799 8.2210589 9.2770163 1.0502855 1.0502855 1.0502855 16.587695 6,038 -0.8552132 8.2108673 9.2724558 1.0623329 1.0623329 1.0623329 16.62811 6,250 -0.8030887 8.2013638 9.2682018 1.0735773 1.0735773 1.0735773 16.666477 6,470 -0.7538723 8.1925014 9.2642335 1.0840721 1.0840721 1.0840721 16.702863 6,697 -0.7074323 8.1842365 9.2605318 1.0938671 1.0938671 1.0938671 16.737336 6,933 -0.6636393 8.1765284 9.2570786 1.103009 1.103009 1.103009 16.769968 7,176 -0.6223671 8.1693393 9.253857 1.1115411 1.1115411 1.1115411 16.800829 7,428 -0.5834925 8.1626339 9.2508515 1.1195042 1.1195042 1.1195042 16.829993 7,689 -0.5468961 8.1563795 9.2480476 1.1269361 1.1269361 1.1269361 16.857531 7,960 -0.5124618 8.1505456 9.2454316 1.1338722 1.1338722 1.1338722 16.883515 8,239 -0.4800777 8.1451036 9.242991 1.1403456 1.1403456 1.1403456 16.908017 8,529 -0.4496357 8.1400271 9.2407138 1.1463871 1.1463871 1.1463871 16.931105 8,829 -0.4210318 8.1352915 9.2385892 1.1520255 1.1520255 1.1520255 16.952849 9,139 -0.394166 8.1308736 9.2366068 1.1572877 1.1572877 1.1572877 16.973314 9,460 -0.3689426 8.126752 9.2347572 1.1621987 1.1621987 1.1621987 16.992567 9,793 -0.3452699 8.1229069 9.2330313 1.166782 1.166782 1.166782 17.010668 10,137 -0.3230602 8.1193195 9.231421 1.1710595 1.1710595 1.1710595 17.02768 10,493 -0.3022299 8.1159726 9.2299184 1.1750515 1.1750515 1.1750515 17.043661 10,862 -0.2826994 8.1128499 9.2285164 1.1787771 1.1787771 1.1787771 17.058667

Page 24: Bode Para Filtros Ativos -Sallen-Key

11,243 -0.2643929 8.1099364 9.2272081 1.1822541 1.1822541 1.1822541 17.072752 11,638 -0.2472384 8.1072179 9.2259873 1.185499 1.185499 1.185499 17.085967 12,047 -0.2311676 8.1046815 9.2248481 1.1885274 1.1885274 1.1885274 17.098362 12,471 -0.2161155 8.1023149 9.2237851 1.1913537 1.1913537 1.1913537 17.109985 12,909 -0.2020209 8.1001067 9.2227932 1.1939913 1.1939913 1.1939913 17.120879 13,363 -0.1888257 8.0980462 9.2218676 1.1964529 1.1964529 1.1964529 17.131088 13,832 -0.1764749 8.0961236 9.2210039 1.1987502 1.1987502 1.1987502 17.140653 14,318 -0.1649167 8.0943296 9.2201979 1.2008941 1.2008941 1.2008941 17.149611 14,822 -0.1541021 8.0926556 9.2194457 1.202895 1.202895 1.202895 17.157999 15,342 -0.143985 8.0910935 9.2187438 1.2047624 1.2047624 1.2047624 17.165852 15,882 -0.1345219 8.0896359 9.2180888 1.2065051 1.2065051 1.2065051 17.173203 16,440 -0.1256718 8.0882758 9.2174776 1.2081315 1.2081315 1.2081315 17.180082 17,017 -0.1173961 8.0870065 9.2169072 1.2096493 1.2096493 1.2096493 17.186518 17,616 -0.1096584 8.0858221 9.2163749 1.2110658 1.2110658 1.2110658 17.192539 18,235 -0.1024248 8.0847169 9.2158782 1.2123878 1.2123878 1.2123878 17.19817 18,875 -0.0956631 8.0836855 9.2154146 1.2136215 1.2136215 1.2136215 17.203437 19,539 -0.0893432 8.082723 9.214982 1.214773 1.214773 1.214773 17.208362 20,225 -0.0834369 8.0818249 9.2145783 1.2158475 1.2158475 1.2158475 17.212966 20,936 -0.0779175 8.0809868 9.2142016 1.2168503 1.2168503 1.2168503 17.217271 21,672 -0.0727601 8.0802046 9.21385 1.2177862 1.2177862 1.2177862 17.221295 22,433 -0.0679415 8.0794747 9.2135219 1.2186597 1.2186597 1.2186597 17.225055 23,222 -0.0634396 8.0787936 9.2132157 1.2194748 1.2194748 1.2194748 17.22857 24,038 -0.0592341 8.078158 9.21293 1.2202355 1.2202355 1.2202355 17.231854 24,883 -0.0553055 8.0775648 9.2126633 1.2209455 1.2209455 1.2209455 17.234923 25,757 -0.051636 8.0770113 9.2124145 1.221608 1.221608 1.221608 17.23779

Page 25: Bode Para Filtros Ativos -Sallen-Key

Curva de Bode para Filtros Ativos Implementados com as configurações Sallen KeyObs.; Rs e Cs todos iguais entre si com exeção dos relacionados ao ganho, ou seja, Ra e Rb.

Entre com:1. Número de décadas: 1 1 Década2. Tipo do filtro (PB, PA, PF = 1, 2, 3 ): 3 Passa Faixa3. Ordem do filtro ( de 1 a 11 ): 4 4 º Ordem

Bloco 1 Bloco 2 Bloco 3 Bloco 4 Bloco 5 Bloco 6 1º Ordem 2º Ordem 2º Ordem 2º Ordem 2º Ordem 2º Ordem

4. Ra 10,000 10,000 65,685 65,685 65,685 5. Rb 26,000 26,000 10,000 10,000 10,000 6. Rs 1,000 20,000 26,700 1,591 1,591 1,591 7. Cs (nano F) 100 10 10 100 100 100

fo ou fc 1,592 1,125 843 1,415 1,415 1,415 Q 3.54 3.54 0.50 0.50 0.50 K = 1+Rb/Ra 3.60 3.600 1.152 1.152 1.152G = 9.00 9.00 0.40 0.40 0.40

Instruções: 1. Preencher apenas as células verdes,2. Não deixe as células com valor zero, pois a planilha poderá fazer divisões por zero e o gáfico não funcionará, * Caso não visualize nenhuma curva, em "Ordem do Filtro" 3. Confira o tipo de Filtro: ( Passa Baixas = 1, Passa Altas = 2 e Passa Altas =3). entre com 11 e verifique se em alguma célula azul, aparece 4. Confira o número de Blocos do seu circuito. ( Ordem do Filtro ) "#DIV/0!". Se isso ocorrer, mude os valores das células

5. Filtros Passa Faixa devem ser de ordem par!!! verdes acima de forma que "#DIV/0!" não ocorra.6. Verificar se os coeficientes das células correspondem com a ordem e o tipo selecionados!!!Anotações sobre este Filtro:Filtro da pag. 5 da apostila com os valores práticos:Rs = 4k7 = 3k3, Rb1 = 12k = 330 e Ra2= 62k +3k3

356

3

81

409

4

38

469

5

03

539

5

77

618

6

63

710

7

61

815

8

74

936

1

,003

1

,075

1

,152

1

,234

1

,322

1

,417

1

,518

1

,627

1

,743

1

,868

2

,001

2

,144

2

,298

2

,462

2

,638

2

,827

3

,029

3

,246

3

,478

-10

-5

0

5

10

15

20

25

30

35

Page 26: Bode Para Filtros Ativos -Sallen-Key

Ordem do Filtro: 4 núm. de dec.(n) 1 PB-1,PA-2,PF-3 3 3 3 3 3 3 Ra 10000 10000 65685 65685 65,685 Rb 26000 26000 10000 10000 10,000 R 0.0000001 20000 26700 1591 1591 1,591 C 0.0000001 1E-08 1E-08 0.0000001 0.0000001 0.0000001 fo 1.5915E+13 1125.3954 842.99281 1414.7019 1414.7019 1414.7019 Q 3.5355339 3.5355339 0.4966059 0.4966059 0.4966059 G=(1+Rb/Ra) 3.6 3.6 1.1522418 1.1522418 1.1522418

Frequência Soma 356 0 -1.011783 2.2395536 -14.31291 -14.31291 -14.31291 1.2277706 360 0 -0.890489 2.3805169 -14.22521 -14.22521 -14.22521 1.4900281 364 0 -0.76865 2.5226092 -14.13779 -14.13779 -14.13779 1.7539589 368 0 -0.646252 2.6658662 -14.05063 -14.05063 -14.05063 2.019614 373 0 -0.523279 2.810325 -13.96376 -13.96376 -13.96376 2.2870462 377 0 -0.399714 2.9560244 -13.87717 -13.87717 -13.87717 2.5563101 381 0 -0.275542 3.1030043 -13.79087 -13.79087 -13.79087 2.8274627 386 0 -0.150744 3.2513065 -13.70486 -13.70486 -13.70486 3.1005627 390 0 -0.025303 3.4009744 -13.61916 -13.61916 -13.61916 3.3756714 395 0 0.1007992 3.552053 -13.53376 -13.53376 -13.53376 3.6528521 399 0 0.2275816 3.7045892 -13.44868 -13.44868 -13.44868 3.9321709

404 0 0.355064 3.858632 -13.36391 -13.36391 -13.36391 4.213696 409 0 0.4832665 4.0142321 -13.27948 -13.27948 -13.27948 4.4974986 413 0 0.6122102 4.1714426 -13.19537 -13.19537 -13.19537 4.7836527 418 0 0.7419166 4.3303185 -13.11161 -13.11161 -13.11161 5.0722351 423 0 0.8724083 4.4909175 -13.02819 -13.02819 -13.02819 5.3633258

Page 27: Bode Para Filtros Ativos -Sallen-Key

428 0 1.0037084 4.6532995 -12.94512 -12.94512 -12.94512 5.6570078 433 0 1.1358408 4.817527 -12.86241 -12.86241 -12.86241 5.9533678 438 0 1.2688306 4.9836654 -12.78007 -12.78007 -12.78007 6.2524959 443 0 1.4027033 5.1517826 -12.69809 -12.69809 -12.69809 6.5544859 448 0 1.5374856 5.32195 -12.6165 -12.6165 -12.6165 6.8594355 453 0 1.6732051 5.4942416 -12.5353 -12.5353 -12.5353 7.1674467 458 0 1.8098905 5.6687351 -12.45449 -12.45449 -12.45449 7.4786256 464 0 1.9475714 5.8455115 -12.37408 -12.37408 -12.37408 7.7930828 469 0 2.0862785 6.0246555 -12.29408 -12.29408 -12.29408 8.110934 475 0 2.2260437 6.2062558 -12.21449 -12.21449 -12.21449 8.4322996 480 0 2.3669002 6.3904049 -12.13533 -12.13533 -12.13533 8.7573052 486 0 2.5088823 6.5771997 -12.0566 -12.0566 -12.0566 9.086082 491 0 2.6520256 6.7667415 -11.97831 -11.97831 -11.97831 9.4187671 497 0 2.7963671 6.9591363 -11.90047 -11.90047 -11.90047 9.7555034 503 0 2.9419453 7.1544949 -11.82308 -11.82308 -11.82308 10.09644 509 0 3.0888002 7.3529333 -11.74616 -11.74616 -11.74616 10.441733 514 0 3.2369733 7.5545728 -11.66971 -11.66971 -11.66971 10.791546 520 0 3.3865078 7.7595402 -11.59373 -11.59373 -11.59373 11.146048 526 0 3.5374486 7.9679681 -11.51825 -11.51825 -11.51825 11.505417 532 0 3.6898424 8.1799949 -11.44326 -11.44326 -11.44326 11.869837 539 0 3.843738 8.3957654 -11.36878 -11.36878 -11.36878 12.239503 545 0 3.9991859 8.6154303 -11.29481 -11.29481 -11.29481 12.614616 551 0 4.156239 8.8391468 -11.22137 -11.22137 -11.22137 12.995386 558 0 4.3149522 9.0670786 -11.14845 -11.14845 -11.14845 13.382031 564 0 4.4753827 9.2993954 -11.07608 -11.07608 -11.07608 13.774778 571 0 4.6375904 9.5362733 -11.00425 -11.00425 -11.00425 14.173864 577 0 4.8016375 9.7778943 -10.93299 -10.93299 -10.93299 14.579532 584 0 4.967589 10.024446 -10.86229 -10.86229 -10.86229 14.992035 591 0 5.1355128 10.276119 -10.79217 -10.79217 -10.79217 15.411632 597 0 5.3054796 10.53311 -10.72263 -10.72263 -10.72263 15.83859 604 0 5.4775635 10.795616 -10.65369 -10.65369 -10.65369 16.27318 611 0 5.6518415 11.063836 -10.58535 -10.58535 -10.58535 16.715678

Page 28: Bode Para Filtros Ativos -Sallen-Key

618 0 5.8283946 11.337965 -10.51763 -10.51763 -10.51763 17.166359 626 0 6.007307 11.618192 -10.45053 -10.45053 -10.45053 17.625499 633 0 6.1886669 11.904698 -10.38406 -10.38406 -10.38406 18.093365 640 0 6.3725665 12.197646 -10.31824 -10.31824 -10.31824 18.570213 648 0 6.5591023 12.497177 -10.25307 -10.25307 -10.25307 19.056279 655 0 6.7483752 12.803397 -10.18856 -10.18856 -10.18856 19.551772 663 0 6.9404906 13.116369 -10.12472 -10.12472 -10.12472 20.056859 670 0 7.1355589 13.436093 -10.06157 -10.06157 -10.06157 20.571652 678 0 7.3336957 13.762491 -9.999103 -9.999103 -9.999103 21.096186 686 0 7.5350217 14.095376 -9.93734 -9.93734 -9.93734 21.630398 694 0 7.7396631 14.434427 -9.876289 -9.876289 -9.876289 22.17409 702 0 7.9477519 14.779147 -9.815958 -9.815958 -9.815958 22.726898 710 0 8.1594262 15.128814 -9.756358 -9.756358 -9.756358 23.28824 718 0 8.3748298 15.482429 -9.697499 -9.697499 -9.697499 23.857259 727 0 8.5941132 15.838643 -9.639391 -9.639391 -9.639391 24.432757 735 0 8.8174327 16.195682 -9.582044 -9.582044 -9.582044 25.013115 744 0 9.0449514 16.551259 -9.525467 -9.525467 -9.525467 25.59621 752 0 9.2768386 16.902483 -9.469671 -9.469671 -9.469671 26.179322 761 0 9.5132697 17.24578 -9.414666 -9.414666 -9.414666 26.759049 770 0 9.7544261 17.576823 -9.36046 -9.36046 -9.36046 27.331249 779 0 10.000494 17.890517 -9.307065 -9.307065 -9.307065 27.891012 788 0 10.251666 18.181043 -9.25449 -9.25449 -9.25449 28.432709 797 0 10.508137 18.442008 -9.202745 -9.202745 -9.202745 28.950145 806 0 10.770104 18.666724 -9.15184 -9.15184 -9.15184 29.436828 815 0 11.037765 18.848618 -9.101784 -9.101784 -9.101784 29.886383 825 0 11.311317 18.981753 -9.052587 -9.052587 -9.052587 30.293069 834 0 11.590949 19.061405 -9.004258 -9.004258 -9.004258 30.652354 844 0 11.876843 19.084584 -8.956807 -8.956807 -8.956807 30.961427 854 0 12.169165 19.050396 -8.910244 -8.910244 -8.910244 31.21956 864 0 12.468056 18.960156 -8.864578 -8.864578 -8.864578 31.428212 874 0 12.773629 18.817222 -8.819817 -8.819817 -8.819817 31.590851 884 0 13.08595 18.626595 -8.775972 -8.775972 -8.775972 31.712545

Page 29: Bode Para Filtros Ativos -Sallen-Key

894 0 13.405026 18.39438 -8.733052 -8.733052 -8.733052 31.799406 904 0 13.730788 18.127208 -8.691065 -8.691065 -8.691065 31.857996 915 0 14.06306 17.831741 -8.65002 -8.65002 -8.65002 31.894801 925 0 14.401536 17.514276 -8.609925 -8.609925 -8.609925 31.915812 936 0 14.745738 17.180501 -8.570791 -8.570791 -8.570791 31.926238 947 0 15.094967 16.835366 -8.532625 -8.532625 -8.532625 31.930333 958 0 15.448255 16.483048 -8.495434 -8.495434 -8.495434 31.931303 969 0 15.804289 16.126985 -8.459229 -8.459229 -8.459229 31.931274 980 0 16.161339 15.769944 -8.424016 -8.424016 -8.424016 31.931284 992 0 16.517172 15.414107 -8.389804 -8.389804 -8.389804 31.931279 1,003 0 16.868959 15.061159 -8.3566 -8.3566 -8.3566 31.930118 1,015 0 17.213195 14.712375 -8.324412 -8.324412 -8.324412 31.92557 1,026 0 17.545627 14.368699 -8.293247 -8.293247 -8.293247 31.914326 1,038 0 17.861233 14.030802 -8.263112 -8.263112 -8.263112 31.892035 1,050 0 18.154259 13.699145 -8.234015 -8.234015 -8.234015 31.853405 1,062 0 18.418359 13.374022 -8.205962 -8.205962 -8.205962 31.79238 1,075 0 18.646855 13.055594 -8.178959 -8.178959 -8.178959 31.702449 1,087 0 18.833143 12.743924 -8.153014 -8.153014 -8.153014 31.577067 1,100 0 18.971201 12.438998 -8.128132 -8.128132 -8.128132 31.410199 1,113 0 19.056162 12.140744 -8.104319 -8.104319 -8.104319 31.196906

fo = 1,125 0 19.08485 11.849048 -8.081582 -8.081582 -8.081582 30.933898 1,138 0 19.056162 11.563764 -8.059924 -8.059924 -8.059924 30.619926 1,152 0 18.971201 11.284725 -8.039353 -8.039353 -8.039353 30.255926 1,165 0 18.833143 11.011749 -8.019872 -8.019872 -8.019872 29.844892 1,178 0 18.646855 10.744644 -8.001487 -8.001487 -8.001487 29.3915 1,192 0 18.418359 10.483215 -7.984202 -7.984202 -7.984202 28.901574 1,206 0 18.154259 10.227263 -7.968021 -7.968021 -7.968021 28.381522 1,220 0 17.861233 9.9765907 -7.952948 -7.952948 -7.952948 27.837824 1,234 0 17.545627 9.7310034 -7.938988 -7.938988 -7.938988 27.276631 1,248 0 17.213195 9.4903099 -7.926143 -7.926143 -7.926143 26.703505 1,263 0 16.868959 9.254324 -7.914417 -7.914417 -7.914417 26.123283 1,277 0 16.517172 9.0228648 -7.903813 -7.903813 -7.903813 25.540037

Page 30: Bode Para Filtros Ativos -Sallen-Key

1,292 0 16.161339 8.7957575 -7.894333 -7.894333 -7.894333 24.957097 1,307 0 15.804289 8.5728334 -7.88598 -7.88598 -7.88598 24.377122 1,322 0 15.448255 8.3539303 -7.878756 -7.878756 -7.878756 23.802185 1,338 0 15.094967 8.138892 -7.872662 -7.872662 -7.872662 23.233859 1,353 0 14.745738 7.927569 -7.867701 -7.867701 -7.867701 22.673307 1,369 0 14.401536 7.7198179 -7.863873 -7.863873 -7.863873 22.121354 1,385 0 14.06306 7.5155013 -7.86118 -7.86118 -7.86118 21.578561 1,401 0 13.730788 7.3144877 -7.859622 -7.859622 -7.859622 21.045276 1,417 0 13.405026 7.1166514 -7.859199 -7.859199 -7.859199 20.521678 1,433 0 13.08595 6.9218722 -7.859913 -7.859913 -7.859913 20.007822 1,450 0 12.773629 6.7300351 -7.861761 -7.861761 -7.861761 19.503664 1,467 0 12.468056 6.5410302 -7.864745 -7.864745 -7.864745 19.009087 1,484 0 12.169165 6.3547525 -7.868863 -7.868863 -7.868863 18.523917 1,501 0 11.876843 6.1711014 -7.874115 -7.874115 -7.874115 18.047945 1,518 0 11.590949 5.9899811 -7.880498 -7.880498 -7.880498 17.58093 1,536 0 11.311317 5.8112996 -7.888011 -7.888011 -7.888011 17.122616 1,553 0 11.037765 5.6349691 -7.896653 -7.896653 -7.896653 16.672734 1,571 0 10.770104 5.4609057 -7.906421 -7.906421 -7.906421 16.23101 1,590 0 10.508137 5.2890289 -7.917313 -7.917313 -7.917313 15.797166 1,608 0 10.251666 5.1192619 -7.929326 -7.929326 -7.929326 15.370928 1,627 0 10.000494 4.951531 -7.942457 -7.942457 -7.942457 14.952025 1,646 0 9.7544261 4.7857657 -7.956702 -7.956702 -7.956702 14.540192 1,665 0 9.5132697 4.6218984 -7.972059 -7.972059 -7.972059 14.135168 1,684 0 9.2768386 4.4598645 -7.988523 -7.988523 -7.988523 13.736703 1,703 0 9.0449514 4.2996018 -8.00609 -8.00609 -8.00609 13.344553 1,723 0 8.8174327 4.1410508 -8.024756 -8.024756 -8.024756 12.958484 1,743 0 8.5941132 3.9841546 -8.044517 -8.044517 -8.044517 12.578268 1,763 0 8.3748298 3.8288584 -8.065367 -8.065367 -8.065367 12.203688 1,784 0 8.1594262 3.6751095 -8.087301 -8.087301 -8.087301 11.834536 1,804 0 7.9477519 3.5228576 -8.110315 -8.110315 -8.110315 11.47061 1,825 0 7.7396631 3.3720542 -8.134402 -8.134402 -8.134402 11.111717 1,846 0 7.5350217 3.2226526 -8.159557 -8.159557 -8.159557 10.757674

Page 31: Bode Para Filtros Ativos -Sallen-Key

1,868 0 7.3336957 3.0746083 -8.185773 -8.185773 -8.185773 10.408304 1,889 0 7.1355589 2.9278781 -8.213046 -8.213046 -8.213046 10.063437 1,911 0 6.9404906 2.7824206 -8.241367 -8.241367 -8.241367 9.7229112 1,933 0 6.7483752 2.638196 -8.27073 -8.27073 -8.27073 9.3865712 1,956 0 6.5591023 2.4951661 -8.301129 -8.301129 -8.301129 9.0542684 1,978 0 6.3725665 2.3532939 -8.332557 -8.332557 -8.332557 8.7258604 2,001 0 6.1886669 2.212544 -8.365006 -8.365006 -8.365006 8.4012108 2,024 0 6.007307 2.072882 -8.398469 -8.398469 -8.398469 8.080189 2,048 0 5.8283946 1.934275 -8.432938 -8.432938 -8.432938 7.7626696 2,072 0 5.6518415 1.7966913 -8.468406 -8.468406 -8.468406 7.4485328 2,096 0 5.4775635 1.6601001 -8.504864 -8.504864 -8.504864 7.1376636 2,120 0 5.3054796 1.524472 -8.542305 -8.542305 -8.542305 6.8299517 2,144 0 5.1355128 1.3897785 -8.58072 -8.58072 -8.58072 6.5252913 2,169 0 4.967589 1.2559919 -8.620101 -8.620101 -8.620101 6.2235809 2,194 0 4.8016375 1.1230858 -8.66044 -8.66044 -8.66044 5.9247233 2,220 0 4.6375904 0.9910345 -8.701727 -8.701727 -8.701727 5.6286249 2,245 0 4.4753827 0.8598133 -8.743954 -8.743954 -8.743954 5.335196 2,271 0 4.3149522 0.7293982 -8.787112 -8.787112 -8.787112 5.0443504 2,298 0 4.156239 0.5997661 -8.831192 -8.831192 -8.831192 4.7560051 2,324 0 3.9991859 0.4708947 -8.876186 -8.876186 -8.876186 4.4700807 2,351 0 3.843738 0.3427624 -8.922082 -8.922082 -8.922082 4.1865004 2,379 0 3.6898424 0.2153483 -8.968874 -8.968874 -8.968874 3.9051907 2,406 0 3.5374486 0.0886321 -9.01655 -9.01655 -9.01655 3.6260807 2,434 0 3.3865078 -0.037406 -9.065102 -9.065102 -9.065102 3.3491022 2,462 0 3.2369733 -0.162784 -9.11452 -9.11452 -9.11452 3.0741896 2,491 0 3.0888002 -0.287521 -9.164795 -9.164795 -9.164795 2.8012796 2,519 0 2.9419453 -0.411634 -9.215916 -9.215916 -9.215916 2.5303114 2,549 0 2.7963671 -0.535141 -9.267875 -9.267875 -9.267875 2.2612262 2,578 0 2.6520256 -0.658058 -9.320661 -9.320661 -9.320661 1.9939674 2,608 0 2.5088823 -0.780402 -9.374264 -9.374264 -9.374264 1.7284806 2,638 0 2.3669002 -0.902187 -9.428675 -9.428675 -9.428675 1.464713 2,669 0 2.2260437 -1.02343 -9.483884 -9.483884 -9.483884 1.202614

Page 32: Bode Para Filtros Ativos -Sallen-Key

2,700 0 2.0862785 -1.144144 -9.539881 -9.539881 -9.539881 0.9421345 2,731 0 1.9475714 -1.264344 -9.596656 -9.596656 -9.596656 0.6832273 2,763 0 1.8098905 -1.384044 -9.654199 -9.654199 -9.654199 0.4258467 2,795 0 1.6732051 -1.503257 -9.7125 -9.7125 -9.7125 0.1699485 2,827 0 1.5374856 -1.621995 -9.77155 -9.77155 -9.77155 -0.08451 2,860 0 1.4027033 -1.740272 -9.831338 -9.831338 -9.831338 -0.337569 2,893 0 1.2688306 -1.8581 -9.891854 -9.891854 -9.891854 -0.58927 2,926 0 1.1358408 -1.975491 -9.953089 -9.953089 -9.953089 -0.83965 2,960 0 1.0037084 -2.092455 -10.01503 -10.01503 -10.01503 -1.088747 2,994 0 0.8724083 -2.209005 -10.07767 -10.07767 -10.07767 -1.336596 3,029 0 0.7419166 -2.32515 -10.14101 -10.14101 -10.14101 -1.583233 3,064 0 0.6122102 -2.440902 -10.20502 -10.20502 -10.20502 -1.828692 3,100 0 0.4832665 -2.556271 -10.2697 -10.2697 -10.2697 -2.073004 3,135 0 0.355064 -2.671266 -10.33503 -10.33503 -10.33503 -2.316202 3,172 0 0.2275816 -2.785897 -10.40102 -10.40102 -10.40102 -2.558315 3,209 0 0.1007992 -2.900174 -10.46765 -10.46765 -10.46765 -2.799375 3,246 0 -0.025303 -3.014105 -10.53491 -10.53491 -10.53491 -3.039408 3,283 0 -0.150744 -3.1277 -10.60279 -10.60279 -10.60279 -3.278444 3,321 0 -0.275542 -3.240967 -10.67129 -10.67129 -10.67129 -3.516509 3,360 0 -0.399714 -3.353914 -10.74038 -10.74038 -10.74038 -3.753629 3,399 0 -0.523279 -3.46655 -10.81007 -10.81007 -10.81007 -3.989829 3,438 0 -0.646252 -3.578882 -10.88034 -10.88034 -10.88034 -4.225134 3,478 0 -0.76865 -3.690918 -10.95118 -10.95118 -10.95118 -4.459569 3,518 0 -0.890489 -3.802666 -11.02259 -11.02259 -11.02259 -4.693155 3,559 0 -1.011783 -3.914132 -11.09456 -11.09456 -11.09456 -4.925915

Page 33: Bode Para Filtros Ativos -Sallen-Key

Curvas de Bode dos Filtros 1, 2, 3 e 41. A referência para o número de décadas e a frequência central é o gráfico do Filtro 1.

Observações:Filtro 1:Filtro 2:Filtro 3:Filtro 4:

39

42

46

51

56

61

67

73

80

88

97

106

1

16

128

1

40

153

1

68

184

2

02

222

2

43

267

2

92

320

3

51

385

4

22

463

5

08

557

6

11

670

7

34

805

8

83

968

1

,061

1

,164

1

,276

1

,399

1

,534

1

,682

1

,844

2

,022

2

,217

2

,431

2

,666

2

,923

3

,205

3

,514

3

,853

-140

-120

-100

-80

-60

-40

-20

0

20

40

60

Filtro 1Filtro 2Filtro 3Filtro 4

Page 34: Bode Para Filtros Ativos -Sallen-Key

Filtro 1 núm. de dec.(n) 2 PB-1,PA-2,PF-3 1 1 1 1 1 1 Ra 0 10000 10000 10000 10000 65685 Rb 0 18877 15320 22000 22000 10000 R 17930 32910 51850 120000 39000 1591 C 0.0000001 1E-08 1E-08 1E-08 1E-08 0.0000001 fo 88.7646085 483.60663 306.95264 132.62912 408.0896 1000.3453 Q 0 8.9047195 2.1367521 -5 -5 0.5411963 G=(1+Rb/Ra) 0 2.8877 2.532 3.2 3.2 1.1522418

Frequência Filtro 1 39 -0.7496312 9.2659958 8.191768 10.851328 10.179193 1.2217613 16.708132 39 -0.7819587 9.2685942 8.1975723 10.888159 10.1828 1.2213319 16.684208 40 -0.8155538 9.2713159 8.2036531 10.926885 10.186578 1.2208823 16.659415 41 -0.8504558 9.2741667 8.2100239 10.967613 10.190536 1.2204115 16.633735 42 -0.8867046 9.2771529 8.2166986 11.010456 10.194682 1.2199185 16.607147 43 -0.9243402 9.280281 8.2236919 11.055533 10.199026 1.2194023 16.579633 44 -0.963403 9.2835576 8.2310191 11.102974 10.203577 1.2188617 16.551174 45 -1.0039337 9.28699 8.2386964 11.152916 10.208345 1.2182957 16.521753 46 -1.045973 9.2905855 8.2467409 11.205504 10.21334 1.217703 16.491354 47 -1.0895616 9.2943521 8.2551703 11.260895 10.218573 1.2170823 16.459961 49 -1.1347405 9.298298 8.2640033 11.319257 10.224057 1.2164324 16.427561 50 -1.1815502 9.3024317 8.2732596 11.380769 10.229802 1.2157519 16.394141 51 -1.2300311 9.3067623 8.2829597 11.445624 10.235822 1.2150393 16.359691 52 -1.2802234 9.3112993 8.2931254 11.514029 10.24213 1.2142931 16.324201 53 -1.3321668 9.3160526 8.3037794 11.586205 10.24874 1.2135118 16.287665 54 -1.3859004 9.3210326 8.3149456 11.662393 10.255667 1.2126936 16.250078 56 -1.4414629 9.3262504 8.3266491 11.74285 10.262925 1.2118369 16.211437 57 -1.4988919 9.3317175 8.3389163 11.827856 10.270532 1.2109398 16.171742 58 -1.5582244 9.3374458 8.3517751 11.917712 10.278505 1.2100004 16.130996

Page 35: Bode Para Filtros Ativos -Sallen-Key

60 -1.6194965 9.3434481 8.3652544 12.012744 10.286861 1.2090167 16.089206 61 -1.682743 9.3497376 8.3793851 12.113308 10.295618 1.2079867 16.04638 62 -1.7479976 9.3563284 8.3941994 12.219788 10.304798 1.2069082 16.00253 64 -1.8152927 9.3632352 8.4097311 12.332605 10.31442 1.2057788 15.957674 65 -1.8846593 9.3704732 8.4260161 12.452216 10.324507 1.2045962 15.91183 67 -1.9561267 9.3780587 8.4430918 12.579123 10.33508 1.2033579 15.865024 69 -2.0297228 9.3860087 8.4609978 12.713874 10.346166 1.2020612 15.817284 70 -2.1054735 9.3943411 8.4797756 12.857073 10.357788 1.2007034 15.768643 72 -2.1834032 9.4030747 8.4994692 13.009383 10.369974 1.1992816 15.719141 73 -2.2635339 9.4122292 8.5201247 13.171539 10.382752 1.1977928 15.66882 75 -2.3458861 9.4218253 8.5417906 13.34435 10.396152 1.1962338 15.61773 77 -2.4304777 9.4318849 8.5645183 13.528719 10.410204 1.1946014 15.565925 79 -2.5173247 9.4424309 8.5883616 13.725647 10.424942 1.1928921 15.513468 80 -2.6064408 9.4534875 8.6133775 13.936254 10.4404 1.1911022 15.460424 82 -2.6978375 9.46508 8.639626 14.16179 10.456615 1.1892279 15.406869 84 -2.7915237 9.4772353 8.6671705 14.403664 10.473625 1.1872654 15.352882 86 -2.8875062 9.4899815 8.6960777 14.663459 10.49147 1.1852103 15.298553 88 -2.9857892 9.5033482 8.726418 14.942962 10.510195 1.1830584 15.243977 90 -3.0863745 9.5173666 8.758266 15.244197 10.529843 1.1808051 15.189258 92 -3.1892614 9.5320696 8.7917003 15.569458 10.550463 1.1784456 15.134508 95 -3.294447 9.5474919 8.8268038 15.921348 10.572105 1.175975 15.079849 97 -3.4019258 9.5636701 8.8636642 16.302818 10.594822 1.1733879 15.025409 99 -3.5116898 9.5806426 8.9023744 16.717204 10.61867 1.1706789 14.971327 101 -3.6237288 9.5984501 8.9430323 17.168241 10.643709 1.1678423 14.917754 104 -3.7380303 9.6171355 8.9857415 17.660054 10.670003 1.164872 14.864847 106 -3.8545794 9.6367442 9.0306119 18.197052 10.697617 1.1617617 14.812777 109 -3.973359 9.6573238 9.0777594 18.783665 10.726623 1.1585049 14.761724 111 -4.0943499 9.678925 9.1273068 19.423737 10.757094 1.1550947 14.711882 114 -4.2175309 9.7016011 9.1793842 20.119262 10.789112 1.1515238 14.663454 116 -4.3428787 9.7254086 9.2341293 20.867831 10.822758 1.1477847 14.616659 119 -4.4703682 9.7504072 9.2916879 21.657745 10.858124 1.1438694 14.571727 122 -4.5999724 9.7766603 9.3522144 22.459301 10.895304 1.1397696 14.528902 125 -4.7316627 9.8042346 9.4158725 23.211586 10.934399 1.1354768 14.488444 128 -4.865409 9.8332013 9.4828354 23.809788 10.975517 1.1309817 14.450628 131 -5.0011794 9.8636355 9.5532866 24.112594 11.018771 1.1262748 14.415743

Page 36: Bode Para Filtros Ativos -Sallen-Key

134 -5.138941 9.8956169 9.6274203 23.996855 11.064283 1.1213463 14.384096 137 -5.2786594 9.9292305 9.7054423 23.438862 11.112185 1.1161856 14.356013 140 -5.4202991 9.964566 9.7875699 22.533093 11.162613 1.1107819 14.331837 143 -5.5638237 10.001719 9.8740331 21.423305 11.215717 1.1051237 14.311929 146 -5.7091958 10.040792 9.9650746 20.230794 11.271654 1.0991991 14.296671 150 -5.8563772 10.081892 10.06095 19.03175 11.330596 1.0929955 14.286465 153 -6.005329 10.125136 10.161929 17.865737 11.392722 1.0864999 14.281736 157 -6.1560117 10.170646 10.268294 16.749872 11.458229 1.0796984 14.282928 161 -6.3083855 10.218553 10.380341 15.689274 11.527327 1.0725767 14.290509 164 -6.46241 10.268999 10.498378 14.683193 11.60024 1.0651199 14.304967 168 -6.6180446 10.322133 10.622725 13.728271 11.677211 1.0573121 14.326813 172 -6.7752488 10.378115 10.753709 12.8202 11.758503 1.049137 14.356576 176 -6.9339815 10.437119 10.891667 11.954518 11.844399 1.0405771 14.394804 180 -7.0942022 10.499329 11.036934 11.126977 11.935204 1.0316147 14.44206 184 -7.25587 10.564943 11.189843 10.333693 12.03125 1.0222307 14.498916 189 -7.4189445 10.634176 11.350714 9.5711801 12.132898 1.0124054 14.565945 193 -7.5833854 10.707257 11.519842 8.8363503 12.240538 1.0021181 14.643713 198 -7.7491528 10.784435 11.697481 8.1264752 12.354598 0.9913473 14.732763 202 -7.9162071 10.865978 11.883823 7.4391505 12.475544 0.9800704 14.833594 207 -8.0845091 10.952178 12.078965 6.7722565 12.603884 0.9682637 14.946634 212 -8.2540202 11.043348 12.282876 6.1239217 12.740179 0.9559024 15.072204 217 -8.4247024 11.139831 12.495338 5.49249 12.885041 0.9429608 15.210467 222 -8.5965182 11.242 12.715881 4.8764922 13.039147 0.9294117 15.361363 227 -8.7694306 11.350261 12.943692 4.2746212 13.203245 0.9152269 15.524522 232 -8.9434035 11.465058 13.177498 3.6857106 13.378162 0.9003769 15.699153 238 -9.1184013 11.586878 13.415428 3.1087166 13.564816 0.8848307 15.883905 243 -9.2943893 11.716255 13.65483 2.5427025 13.764231 0.8685562 16.076695 249 -9.4713334 11.853778 13.892069 1.986825 13.977549 0.8515194 16.274514 255 -9.6492004 12.000099 14.122305 1.440323 14.20605 0.8336853 16.473203 260 -9.8279577 12.155936 14.339283 0.9025078 14.451172 0.815017 16.667262 267 -10.007574 12.322093 14.535178 0.3727544 14.714535 0.795476 16.849697 273 -10.188017 12.499461 14.700586 -0.149506 14.997969 0.7750224 17.012031 279 -10.369258 12.689043 14.824755 -0.66479 15.303545 0.7536141 17.14454 286 -10.551268 12.891964 14.896158 -1.173573 15.633612 0.7312076 17.236853 292 -10.734017 13.109493 14.903468 -1.676287 15.990836 0.7077572 17.278944

Page 37: Bode Para Filtros Ativos -Sallen-Key

299 -10.917479 13.343072 14.836868 -2.173331 16.378239 0.6832155 17.26246 306 -11.101626 13.594344 14.689449 -2.66507 16.799229 0.6575329 17.182167 313 -11.286432 13.865194 14.458355 -3.151841 17.25762 0.6306578 17.037117 320 -11.471872 14.157793 14.145285 -3.633954 17.7576 0.6025365 16.831206 328 -11.657922 14.474665 13.756191 -4.111696 18.30361 0.5731131 16.572933 336 -11.844558 14.818756 13.30027 -4.585334 18.900031 0.5423293 16.274467 343 -12.031757 15.193535 12.788595 -5.055112 19.550483 0.5101246 15.950374 351 -12.219496 15.603123 12.23275 -5.52126 20.256378 0.4764361 15.616377 360 -12.407755 16.052452 11.643757 -5.983991 21.014025 0.4411983 15.288454 368 -12.596513 16.54748 11.031403 -6.443501 21.809142 0.4043436 14.98237 377 -12.78575 17.095479 10.403927 -6.899976 22.60727 0.3658013 14.713656 385 -12.975446 17.705401 9.7679775 -7.353586 23.339973 0.3254987 14.497933 394 -13.165582 18.38837 9.1287415 -7.804493 23.893875 0.2833601 14.351529 403 -13.356142 19.158284 8.4901425 -8.252846 24.125281 0.2393073 14.292284 413 -13.547108 20.032493 7.8550651 -8.698786 23.924086 0.1932594 14.340451 422 -13.738462 21.03227 7.2255651 -9.142445 23.290629 0.1451329 14.519374 432 -13.93019 22.182064 6.603054 -9.583944 22.335418 0.0948417 14.854928 442 -14.122275 23.504083 5.9884508 -10.0234 21.202115 0.0422969 15.370259 453 -14.314703 24.996994 5.3823048 -10.46092 20.00386 -0.012593 16.064597 463 -14.507459 26.566219 4.7848911 -10.89662 18.808874 -0.069922 16.843651 474 -14.70053 27.856082 4.1962847 -11.33057 17.651474 -0.129786 17.351837 485 -14.893902 28.165527 3.6164163 -11.76288 16.545867 -0.192285 16.888041 496 -15.087564 27.13411 3.0451153 -12.19363 15.495705 -0.257519 15.091661 508 -15.281502 25.315614 2.4821415 -12.6229 14.49956 -0.325592 12.516254 520 -15.475705 23.346453 1.9272087 -13.05076 13.553804 -0.396609 9.7979569 532 -15.670161 21.494325 1.3800021 -13.47729 12.654054 -0.470678 7.2041656 544 -15.864861 19.818197 0.8401917 -13.90255 11.79587 -0.547908 4.793528 557 -16.059793 18.309491 0.3074411 -14.32662 10.975066 -0.628409 2.5571387 570 -16.254947 16.944348 -0.218586 -14.74954 10.187831 -0.712293 0.4708148 583 -16.450315 15.698913 -0.738219 -15.17137 9.4307566 -0.799671 -1.489621 597 -16.645887 14.552934 -1.251781 -15.59217 8.7008248 -0.890658 -3.344733 611 -16.841653 13.490011 -1.759582 -16.012 7.9953714 -0.985367 -5.111224 625 -17.037606 12.497028 -2.261923 -16.43089 7.3120485 -1.083912 -6.802502 639 -17.233738 11.563473 -2.759089 -16.84889 6.648786 -1.186404 -8.429354 654 -17.430041 10.680868 -3.251352 -17.26605 6.0037552 -1.292957 -10.00052

Page 38: Bode Para Filtros Ativos -Sallen-Key

670 -17.626507 9.8423142 -3.738972 -17.68241 5.3753374 -1.40368 -11.52317 685 -17.82313 9.0421396 -4.222195 -18.098 4.7620955 -1.518684 -13.00319 701 -18.019902 8.2756406 -4.701255 -18.51287 4.1627506 -1.638074 -14.44552 717 -18.216817 7.5388793 -5.176371 -18.92704 3.5761607 -1.761955 -15.85431 734 -18.413869 6.8285312 -5.647753 -19.34056 3.0013033 -1.890426 -17.23309 751 -18.611052 6.1417672 -6.115598 -19.75345 2.4372601 -2.023586 -18.58488 769 -18.80836 5.4761622 -6.580091 -20.16574 1.8832042 -2.161527 -19.91229 787 -19.005787 4.8296231 -7.04141 -20.57746 1.3383888 -2.304337 -21.21757 805 -19.203329 4.2003321 -7.499719 -20.98865 0.8021379 -2.452098 -22.50272 824 -19.40098 3.5867015 -7.955175 -21.39931 0.2738376 -2.604887 -23.76945 843 -19.598736 2.9873366 -8.407927 -21.80949 -0.24707 -2.762774 -25.01933 863 -19.796591 2.4010069 -8.858114 -22.21919 -0.761096 -2.925825 -26.2537 883 -19.994543 1.8266211 -9.305868 -22.62845 -1.268704 -3.094094 -27.47379 903 -20.192585 1.2632076 -9.751315 -23.03728 -1.770321 -3.267633 -28.68069 924 -20.390715 0.7098978 -10.19457 -23.44571 -2.266338 -3.446481 -29.87539 946 -20.588928 0.1659123 -10.63575 -23.85375 -2.757117 -3.630674 -31.05876 968 -20.787221 -0.369451 -11.07495 -24.26143 -3.242987 -3.820235 -32.23162 990 -20.98559 -0.896824 -11.51228 -24.66875 -3.724256 -4.015183 -33.39469 1,013 -21.184032 -1.416784 -11.94783 -25.07573 -4.201205 -4.215523 -34.54864 1,037 -21.382543 -1.92985 -12.38168 -25.4824 -4.674098 -4.421258 -35.69408 1,061 -21.581121 -2.436499 -12.81393 -25.88876 -5.143176 -4.632376 -36.83155 1,086 -21.779763 -2.937164 -13.24465 -26.29483 -5.608664 -4.84886 -37.96158 1,111 -21.978465 -3.432243 -13.67392 -26.70063 -6.070774 -5.070684 -39.08463 1,137 -22.177226 -3.922099 -14.10181 -27.10616 -6.529699 -5.297814 -40.20114 1,164 -22.376042 -4.407069 -14.52839 -27.51144 -6.985621 -5.530207 -41.3115 1,191 -22.57491 -4.887459 -14.95372 -27.91648 -7.43871 -5.767812 -42.41609 1,218 -22.77383 -5.363556 -15.37786 -28.32128 -7.889125 -6.010573 -43.51524 1,247 -22.972798 -5.835621 -15.80087 -28.72587 -8.337013 -6.258423 -44.60929 1,276 -23.171812 -6.3039 -16.2228 -29.13025 -8.782514 -6.511292 -45.69852 1,306 -23.37087 -6.768616 -16.64371 -29.53444 -9.225756 -6.769103 -46.7832 1,336 -23.569971 -7.22998 -17.06365 -29.93843 -9.666863 -7.031771 -47.8636 1,367 -23.769111 -7.688188 -17.48266 -30.34224 -10.10595 -7.299209 -48.93996 1,399 -23.968291 -8.14342 -17.90079 -30.74588 -10.54312 -7.571323 -50.0125 1,431 -24.167507 -8.595845 -18.31807 -31.14935 -10.97847 -7.848015 -51.08143 1,465 -24.366758 -9.045622 -18.73456 -31.55266 -11.41211 -8.129185 -52.14694

Page 39: Bode Para Filtros Ativos -Sallen-Key

1,499 -24.566043 -9.492898 -19.15028 -31.95583 -11.84412 -8.414728 -53.20922 1,534 -24.76536 -9.937811 -19.56528 -32.35885 -12.27459 -8.704538 -54.26845 1,570 -24.964707 -10.38049 -19.97958 -32.76173 -12.70358 -8.998505 -55.32478 1,606 -25.164084 -10.82106 -20.39323 -33.16449 -13.13119 -9.296517 -56.37837 1,644 -25.363489 -11.25962 -20.80624 -33.56712 -13.55748 -9.598464 -57.42936 1,682 -25.56292 -11.6963 -21.21866 -33.96963 -13.98251 -9.904231 -58.47788 1,721 -25.762377 -12.13118 -21.63051 -34.37202 -14.40635 -10.21371 -59.52407 1,761 -25.961859 -12.56437 -22.04181 -34.77431 -14.82906 -10.52678 -60.56803 1,802 -26.161363 -12.99594 -22.45259 -35.17649 -15.2507 -10.84333 -61.6099 1,844 -26.36089 -13.42599 -22.86288 -35.57858 -15.67131 -11.16324 -62.64976 1,887 -26.560438 -13.85459 -23.2727 -35.98057 -16.09096 -11.48642 -63.68773 1,931 -26.760007 -14.28182 -23.68207 -36.38247 -16.50968 -11.81274 -64.72389 1,976 -26.959594 -14.70774 -24.09101 -36.78429 -16.92752 -12.1421 -65.75834 2,022 -27.159201 -15.13243 -24.49954 -37.18602 -17.34452 -12.47439 -66.79117 2,069 -27.358825 -15.55594 -24.90768 -37.58767 -17.76073 -12.80951 -67.82244 2,117 -27.558466 -15.97833 -25.31545 -37.98926 -18.17619 -13.14735 -68.85225 2,167 -27.758123 -16.39966 -25.72287 -38.39076 -18.59092 -13.48781 -69.88065 2,217 -27.957795 -16.81999 -26.12995 -38.7922 -19.00497 -13.8308 -70.90773 2,269 -28.157482 -17.23935 -26.5367 -39.19358 -19.41837 -14.17621 -71.93354 2,322 -28.357184 -17.65781 -26.94315 -39.59489 -19.83114 -14.52395 -72.95814 2,376 -28.556898 -18.0754 -27.3493 -39.99615 -20.24333 -14.87394 -73.9816 2,431 -28.756626 -18.49216 -27.75518 -40.39734 -20.65495 -15.22608 -75.00396 2,488 -28.956366 -18.90814 -28.16079 -40.79849 -21.06603 -15.58029 -76.02529 2,546 -29.156117 -19.32337 -28.56614 -41.19958 -21.4766 -15.93649 -77.04563 2,605 -29.35588 -19.7379 -28.97125 -41.60062 -21.88668 -16.29458 -78.06502 2,666 -29.555653 -20.15174 -29.37612 -42.00162 -22.2963 -16.65451 -79.08352 2,728 -29.755436 -20.56495 -29.78078 -42.40257 -22.70548 -17.01618 -80.10116 2,791 -29.95523 -20.97754 -30.18523 -42.80348 -23.11424 -17.37954 -81.11799 2,856 -30.155032 -21.38955 -30.58947 -43.20434 -23.52259 -17.7445 -82.13405 2,923 -30.354843 -21.801 -30.99352 -43.60517 -23.93056 -18.111 -83.14936 2,991 -30.554663 -22.21192 -31.39739 -44.00596 -24.33817 -18.47898 -84.16397 3,060 -30.754491 -22.62234 -31.80108 -44.40672 -24.74542 -18.84837 -85.17791 3,132 -30.954327 -23.03228 -32.2046 -44.80744 -25.15235 -19.21911 -86.19121 3,205 -31.15417 -23.44176 -32.60797 -45.20813 -25.55896 -19.59115 -87.20389 3,279 -31.35402 -23.8508 -33.01118 -45.60878 -25.96526 -19.96443 -88.216

Page 40: Bode Para Filtros Ativos -Sallen-Key

3,356 -31.553877 -24.25943 -33.41425 -46.00941 -26.37128 -20.3389 -89.22755 3,434 -31.75374 -24.66766 -33.81718 -46.41001 -26.77702 -20.71449 -90.23858 3,514 -31.95361 -25.07551 -34.21997 -46.81058 -27.18251 -21.09118 -91.2491 3,596 -32.153485 -25.48301 -34.62264 -47.21113 -27.58774 -21.4689 -92.25914 3,679 -32.353366 -25.89016 -35.02519 -47.61165 -27.99273 -21.84762 -93.26872 3,765 -32.553252 -26.29698 -35.42762 -48.01215 -28.3975 -22.22728 -94.27786 3,853 -32.753144 -26.7035 -35.82995 -48.41262 -28.80205 -22.60785 -95.28659

Page 41: Bode Para Filtros Ativos -Sallen-Key

Filtro 2 Filtro 3Ord. do filtro 5 Ord. do filtro 5 Número de Dec. núm. de dec.(n) PB-1,PA-2,PF-3 2 2 2 2 2 2 PB-1,PA-2,PF-3 2 2 2 2 Ra 0 10000 10000 10000 10000 65685 Ra 0 10000 10000 65685 Rb 0 18870 15320 28754.449 28754.449 10000 Rb 0 15320 18870 10000 R 0.00000001 79570 79570 21855.925 21072.128 1591 R 0.00000001 19540 30780 1591 C 79570 1E-08 1E-08 1E-08 1E-08 0.0000001 C 5650 1E-08 1E-08 0.0000001 fo 200.01878 200.01878 200.01878 728.20045 755.28654 1000.3453 fo 2816.90165 814.50841 517.07259 1000.3453 Q 0 8.8495575 2.1367521 -1.142276 -1.142276 0.5411963 Q 0 2.1367521 8.8495575 0.5411963 G=(1+Rb/Ra) 0 2.887 2.532 3.8754449 3.8754449 1.1522418 G=(1+Rb/Ra) 0 2.532 2.887 1.1522418

Frequência Filtro 2 Frequência 39 -14.464003 -19.07643 -20.25177 -39.27734 -39.91283 -55.35296 -53.7922 39 -37.28061 -44.91796 -35.8538 -55.35296 39 -14.271319 -18.66075 -19.83791 -38.87664 -39.51218 -54.95339 -52.76998 39 -37.080648 -44.51714 -35.45153 -54.95339 40 -14.078967 -18.24431 -19.42337 -38.4759 -39.11149 -54.55384 -51.74664 40 -36.880688 -44.11628 -35.04915 -54.55384 41 -13.886962 -17.82706 -19.00813 -38.07513 -38.71077 -54.15431 -50.72215 41 -36.68073 -43.71539 -34.64666 -54.15431 42 -13.695317 -17.40896 -18.59215 -37.67431 -38.31002 -53.75481 -49.69642 42 -36.480774 -43.31445 -34.24405 -53.75481 43 -13.504048 -16.98996 -18.17539 -37.27347 -37.90923 -53.35532 -48.6694 43 -36.28082 -42.91347 -33.84132 -53.35532 44 -13.313173 -16.57003 -17.75782 -36.87258 -37.5084 -52.95586 -47.64102 44 -36.080868 -42.51244 -33.43846 -52.95586 45 -13.122707 -16.14911 -17.3394 -36.47165 -37.10754 -52.55643 -46.61121 45 -35.880919 -42.11136 -33.03546 -52.55643 46 -12.932668 -15.72715 -16.92008 -36.07067 -36.70663 -52.15702 -45.57989 46 -35.680972 -41.71023 -32.63232 -52.15702 47 -12.743074 -15.30409 -16.49981 -35.66965 -36.30568 -51.75764 -44.54698 47 -35.481027 -41.30905 -32.22903 -51.75764 49 -12.553943 -14.87989 -16.07856 -35.26859 -35.90469 -51.35829 -43.51239 49 -35.281085 -40.90782 -31.82558 -51.35829 50 -12.365296 -14.45447 -15.65626 -34.86747 -35.50365 -50.95897 -42.47602 50 -35.081146 -40.50652 -31.42197 -50.95897 51 -12.177153 -14.02777 -15.23287 -34.4663 -35.10256 -50.55969 -41.43779 51 -34.881209 -40.10516 -31.01819 -50.55969 52 -11.989533 -13.59973 -14.80833 -34.06507 -34.70142 -50.16043 -40.3976 52 -34.681276 -39.70374 -30.61422 -50.16043 53 -11.802459 -13.17028 -14.38258 -33.66379 -34.30023 -49.76121 -39.35532 53 -34.481345 -39.30225 -30.21007 -49.76121 54 -11.615953 -12.73932 -13.95556 -33.26244 -33.89898 -49.36203 -38.31084 54 -34.281418 -38.90069 -29.80572 -49.36203 56 -11.430039 -12.3068 -13.52721 -32.86104 -33.49767 -48.96289 -37.26405 56 -34.081495 -38.49906 -29.40117 -48.96289 57 -11.244739 -11.87261 -13.09745 -32.45956 -33.0963 -48.56379 -36.2148 57 -33.881575 -38.09735 -28.99639 -48.56379 58 -11.060079 -11.43667 -12.66622 -32.05802 -32.69487 -48.16473 -35.16296 58 -33.681658 -37.69556 -28.59139 -48.16473

Page 42: Bode Para Filtros Ativos -Sallen-Key

60 -10.876084 -10.99887 -12.23343 -31.65641 -32.29336 -47.76571 -34.10838 60 -33.481746 -37.29369 -28.18615 -47.76571 61 -10.692781 -10.55912 -11.799 -31.25471 -31.89179 -47.36674 -33.0509 61 -33.281838 -36.89172 -27.78066 -47.36674 62 -10.510196 -10.11731 -11.36285 -30.85294 -31.49015 -46.96782 -31.99035 62 -33.081934 -36.48967 -27.37491 -46.96782 64 -10.328357 -9.673305 -10.92489 -30.45109 -31.08842 -46.56895 -30.92656 64 -32.882035 -36.08751 -26.96888 -46.56895 65 -10.147292 -9.226996 -10.48503 -30.04915 -30.68662 -46.17013 -29.85932 65 -32.68214 -35.68526 -26.56256 -46.17013 67 -9.9670327 -8.778241 -10.04315 -29.64712 -30.28473 -45.77137 -28.78843 67 -32.48225 -35.28289 -26.15594 -45.77137 69 -9.7876075 -8.326899 -9.599159 -29.24499 -29.88275 -45.37266 -27.71367 69 -32.282366 -34.88042 -25.749 -45.37266 70 -9.609048 -7.872816 -9.152936 -28.84276 -29.48068 -44.97402 -26.6348 70 -32.082487 -34.47783 -25.34174 -44.97402 72 -9.4313861 -7.415826 -8.704364 -28.44043 -29.07851 -44.57544 -25.55158 72 -31.882614 -34.07511 -24.93412 -44.57544 73 -9.2546545 -6.955754 -8.253314 -28.03799 -28.67624 -44.17693 -24.46372 73 -31.682746 -33.67227 -24.52613 -44.17693 75 -9.0788866 -6.49241 -7.799653 -27.63544 -28.27387 -43.77849 -23.37095 75 -31.482885 -33.26929 -24.11776 -43.77849 77 -8.9041166 -6.025591 -7.343238 -27.23276 -27.87138 -43.38012 -22.27295 77 -31.283031 -32.86617 -23.70899 -43.38012 79 -8.7303795 -5.555077 -6.883917 -26.82996 -27.46878 -42.98183 -21.16937 79 -31.083183 -32.46291 -23.2998 -42.98183 80 -8.557711 -5.080633 -6.421532 -26.42703 -27.06605 -42.58362 -20.05988 80 -30.883343 -32.05949 -22.89016 -42.58362 82 -8.3861474 -4.602003 -5.955912 -26.02396 -26.66319 -42.1855 -18.94406 82 -30.68351 -31.6559 -22.48006 -42.1855 84 -8.2157257 -4.118912 -5.486879 -25.62074 -26.26021 -41.78746 -17.82152 84 -30.483684 -31.25215 -22.06946 -41.78746 86 -8.0464837 -3.631061 -5.014242 -25.21738 -25.85708 -41.38952 -16.69179 86 -30.283868 -30.84822 -21.65836 -41.38952 88 -7.8784594 -3.138126 -4.537801 -24.81386 -25.4538 -40.99167 -15.55439 88 -30.084059 -30.4441 -21.24672 -40.99167 90 -7.7116916 -2.639755 -4.057342 -24.41017 -25.05037 -40.59392 -14.40879 90 -29.88426 -30.03978 -20.83451 -40.59392 92 -7.5462196 -2.135566 -3.572641 -24.00631 -24.64679 -40.19628 -13.25443 92 -29.68447 -29.63526 -20.42171 -40.19628 95 -7.3820831 -1.625138 -3.083461 -23.60227 -24.24303 -39.79875 -12.09068 95 -29.48469 -29.23053 -20.00828 -39.79875 97 -7.219322 -1.108014 -2.58955 -23.19804 -23.8391 -39.40134 -10.91689 97 -29.284921 -28.82557 -19.5942 -39.40134 99 -7.0579767 -0.583693 -2.090645 -22.79362 -23.43498 -39.00405 -9.732314 99 -29.085162 -28.42037 -19.17943 -39.00405 101 -6.8980877 -0.051621 -1.586469 -22.38899 -23.03067 -38.60688 -8.536177 101 -28.885415 -28.01493 -18.76394 -38.60688 104 -6.7396957 0.4888102 -1.07673 -21.98414 -22.62616 -38.20985 -7.327616 104 -28.685679 -27.60923 -18.34769 -38.20985 106 -6.5828417 1.0382732 -0.561127 -21.57906 -22.22144 -37.81296 -6.105695 106 -28.485956 -27.20326 -17.93064 -37.81296 109 -6.4275662 1.5975149 -0.039343 -21.17375 -21.8165 -37.41622 -4.869394 109 -28.286246 -26.797 -17.51276 -37.41622 111 -6.2739101 2.1673662 0.4889469 -20.76819 -21.41132 -37.01963 -3.617597 111 -28.08655 -26.39044 -17.09399 -37.01963 114 -6.1219138 2.748755 1.024075 -20.36237 -21.00591 -36.6232 -2.349084 114 -27.886868 -25.98357 -16.67429 -36.6232 116 -5.9716176 3.3427217 1.5663783 -19.95628 -20.60024 -36.22694 -1.062518 116 -27.687201 -25.57637 -16.25362 -36.22694 119 -5.8230613 3.9504377 2.1161918 -19.5499 -20.19431 -35.83086 0.2435682 119 -27.48755 -25.16883 -15.83192 -35.83086 122 -5.6762842 4.5732276 2.6738416 -19.14323 -19.78811 -35.43496 1.570785 122 -27.287915 -24.76093 -15.40915 -35.43496 125 -5.531325 5.2125966 3.2396342 -18.73625 -19.38161 -35.03925 2.9209058 125 -27.088297 -24.35265 -14.98523 -35.03925 128 -5.3882218 5.8702637 3.8138424 -18.32895 -18.97481 -34.64374 4.2958843 128 -26.888697 -23.94397 -14.56012 -34.64374 131 -5.2470118 6.5482036 4.3966856 -17.9213 -18.5677 -34.24845 5.6978774 131 -26.689116 -23.53488 -14.13375 -34.24845

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134 -5.1077312 7.248698 4.9883039 -17.5133 -18.16026 -33.85338 7.1292706 134 -26.489554 -23.12535 -13.70605 -33.85338 137 -4.9704153 7.9744009 5.5887224 -17.10493 -17.75247 -33.45854 8.592708 137 -26.290014 -22.71537 -13.27695 -33.45854 140 -4.8350981 8.7284212 6.1978051 -16.69618 -17.34432 -33.06394 10.091128 140 -26.090495 -22.3049 -12.84638 -33.06394 143 -4.7018123 9.5144287 6.8151922 -16.28702 -16.93579 -32.6696 11.627809 143 -25.890998 -21.89394 -12.41425 -32.6696 146 -4.5705894 10.336791 7.4402199 -15.87743 -16.52687 -32.27553 13.206422 146 -25.691525 -21.48244 -11.98048 -32.27553 150 -4.4414592 11.200752 8.071816 -15.46741 -16.11754 -31.88173 14.831109 150 -25.492077 -21.07039 -11.54498 -31.88173 153 -4.3144499 12.112666 8.7083673 -15.05692 -15.70777 -31.48823 16.506583 153 -25.292655 -20.65776 -11.10765 -31.48823 157 -4.1895882 13.080306 9.3475565 -14.64595 -15.29756 -31.09503 18.238274 157 -25.09326 -20.24453 -10.6684 -31.09503 161 -4.0668987 14.11327 9.9861685 -14.23448 -14.88687 -30.70215 20.03254 161 -24.893894 -19.83065 -10.22711 -30.70215 164 -3.9464042 15.223496 10.619873 -13.82248 -14.4757 -30.30961 21.896964 164 -24.694557 -19.4161 -9.783661 -30.30961 168 -3.8281255 16.425896 11.243002 -13.40993 -14.06401 -29.91741 23.840772 168 -24.495251 -19.00085 -9.337936 -29.91741 172 -3.7120814 17.738983 11.848371 -12.99681 -13.65179 -29.52559 25.875272 172 -24.295978 -18.58485 -8.889801 -29.52559 176 -3.5982884 19.18506 12.427195 -12.5831 -13.23901 -29.13415 28.013967 176 -24.096739 -18.16808 -8.439115 -29.13415 180 -3.486761 20.788395 12.969215 -12.16875 -12.82564 -28.74311 30.270849 180 -23.897536 -17.7505 -7.985727 -28.74311 184 -3.377511 22.566174 13.463117 -11.75376 -12.41167 -28.3525 32.65178 184 -23.69837 -17.33206 -7.529474 -28.3525 189 -3.2705483 24.495801 13.897355 -11.33809 -11.99706 -27.96232 35.122608 189 -23.499244 -16.91272 -7.070184 -27.96232 193 -3.1658802 26.416467 14.261337 -10.92171 -11.58179 -27.57261 37.511924 193 -23.300158 -16.49244 -6.60767 -27.57261 198 -3.0635116 27.844353 14.54683 -10.5046 -11.16583 -27.18338 39.327671 198 -23.101115 -16.07117 -6.141733 -27.18338 202 -2.9634451 28.084376 14.749254 -10.08672 -10.74915 -26.79466 39.870185 202 -22.902117 -15.64885 -5.672157 -26.79466 207 -2.8656807 27.107562 14.868478 -9.668042 -10.33173 -26.40646 39.110359 207 -22.703166 -15.22544 -5.19871 -26.40646 212 -2.770216 25.598238 14.908838 -9.248533 -9.91352 -26.01882 37.73686 212 -22.504264 -14.80088 -4.721144 -26.01882 217 -2.6770463 24.06261 14.878388 -8.82816 -9.494501 -25.63176 36.263952 217 -22.305414 -14.37511 -4.239186 -25.63176 222 -2.5861643 22.674759 14.787622 -8.406889 -9.074639 -25.24531 34.876216 222 -22.106618 -13.94807 -3.752545 -25.24531 227 -2.4975604 21.461653 14.648069 -7.984686 -8.653899 -24.8595 33.612162 227 -21.907878 -13.51969 -3.260903 -24.8595 232 -2.4112228 20.407145 14.471079 -7.561515 -8.232246 -24.47435 32.467001 232 -21.709197 -13.08991 -2.763916 -24.47435 238 -2.3271373 19.487013 14.26699 -7.13734 -7.809647 -24.08989 31.426866 238 -21.510577 -12.65865 -2.261207 -24.08989 243 -2.2452873 18.678758 14.044676 -6.712125 -7.386064 -23.70617 30.478146 243 -21.312022 -12.22583 -1.752368 -23.70617 249 -2.1656543 17.963642 13.811415 -6.285832 -6.961463 -23.32321 29.609403 249 -21.113535 -11.79137 -1.23695 -23.32321 255 -2.0882175 17.326564 13.572957 -5.858427 -6.535806 -22.94104 28.811303 255 -20.915119 -11.3552 -0.714464 -22.94104 260 -2.0129544 16.75543 13.333704 -5.429871 -6.109058 -22.55971 28.076179 260 -20.716776 -10.9172 -0.184369 -22.55971 267 -1.9398403 16.240522 13.096929 -5.000128 -5.68118 -22.17925 27.397611 267 -20.518511 -10.4773 0.3539281 -22.17925 273 -1.8688486 15.773975 12.864997 -4.569164 -5.252138 -21.7997 26.770123 273 -20.320327 -10.03539 0.9010839 -21.7997 279 -1.7999514 15.349361 12.639556 -4.136945 -4.821894 -21.42111 26.188965 279 -20.122228 -9.59136 1.4578257 -21.42111 286 -1.7331188 14.961379 12.421706 -3.703436 -4.390414 -21.04352 25.649966 286 -19.924218 -9.145098 2.0249625 -21.04352 292 -1.6683195 14.605616 12.212131 -3.268609 -3.957665 -20.66697 25.149427 292 -19.7263 -8.696483 2.6033967 -20.66697

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299 -1.6055208 14.278366 12.011206 -2.832435 -3.523614 -20.29151 24.684051 299 -19.528479 -8.245389 3.1941394 -20.29151 306 -1.5446888 13.976491 11.819079 -2.39489 -3.088233 -19.91719 24.250881 306 -19.33076 -7.791681 3.7983274 -19.91719 313 -1.4857883 13.697313 11.635731 -1.955955 -2.651494 -19.54407 23.847256 313 -19.133147 -7.335216 4.417245 -19.54407 320 -1.428783 13.438531 11.461029 -1.515615 -2.213376 -19.17219 23.470777 320 -18.935646 -6.875843 5.0523497 -19.17219 328 -1.373636 13.198153 11.294757 -1.073862 -1.77386 -18.80161 23.119274 328 -18.73826 -6.413403 5.705304 -18.80161 336 -1.3203091 12.974448 11.136645 -0.630698 -1.332936 -18.4324 22.790784 336 -18.540996 -5.947725 6.3780149 -18.4324 343 -1.2687637 12.765898 10.986387 -0.186133 -0.890599 -18.0646 22.483522 343 -18.343859 -5.47863 7.0726822 -18.0646 351 -1.2189604 12.57117 10.843659 0.259813 -0.446853 -17.69829 22.195869 351 -18.146855 -5.005928 7.7918608 -17.69829 360 -1.1708595 12.389084 10.708125 0.7071028 -0.001712 -17.33353 21.92635 360 -17.94999 -4.529418 8.5385379 -17.33353 368 -1.1244208 12.218592 10.57945 1.155685 0.4447947 -16.97038 21.673621 368 -17.75327 -4.048887 9.3162326 -16.97038 377 -1.0796038 12.058761 10.457299 1.6054885 0.8926268 -16.60892 21.436456 377 -17.556702 -3.56411 10.129125 -16.60892 385 -1.0363677 11.908754 10.341346 2.0564196 1.3417243 -16.24923 21.213733 385 -17.360293 -3.074849 10.982221 -16.24923 394 -0.9946719 11.76782 10.231278 2.5083582 1.7920073 -15.89137 21.004426 394 -17.16405 -2.580853 11.881575 -15.89137 403 -0.9544755 11.635282 10.126788 2.9611537 2.2433717 -15.53542 20.807595 403 -16.967981 -2.081858 12.834575 -15.53542 413 -0.9157377 11.510528 10.027586 3.4146195 2.6956852 -15.18147 20.622376 413 -16.772093 -1.577587 13.850321 -15.18147 422 -0.8784181 11.393003 9.9333941 3.868528 3.1487829 -14.82959 20.447979 422 -16.576395 -1.067748 14.940116 -14.82959 432 -0.8424763 11.282201 9.8439472 4.3226044 3.6024622 -14.47988 20.283672 432 -16.380895 -0.552039 16.118072 -14.47988 442 -0.8078722 11.177662 9.7589941 4.7765195 4.0564765 -14.13243 20.128784 442 -16.185602 -0.030144 17.401761 -14.13243 453 -0.7745661 11.078966 9.6782964 5.2298824 4.5105294 -13.78732 19.982696 453 -15.990525 0.4982626 18.812592 -13.78732 463 -0.7425188 10.985727 9.6016287 5.6822328 4.9642671 -13.44465 19.844837 463 -15.795675 1.0335135 20.374756 -13.44465 474 -0.7116916 10.897591 9.5287775 6.1330321 5.417271 -13.10451 19.714677 474 -15.60106 1.5759455 22.108864 -13.10451 485 -0.6820461 10.814234 9.4595411 6.5816549 5.8690495 -12.76701 19.591729 485 -15.406692 2.1258935 24.0078 -12.76701 496 -0.6535447 10.735353 9.3937291 7.02738 6.319029 -12.43224 19.475538 496 -15.212582 2.6836834 25.960038 -12.43224 508 -0.6261504 10.660674 9.3311614 7.4693828 6.7665456 -12.10032 19.365685 508 -15.018741 3.2496212 27.576963 -12.10032 520 -0.5998267 10.58994 9.2716683 7.9067273 7.2108362 -11.77133 19.261782 520 -14.825181 3.823979 28.156241 -11.77133 532 -0.5745379 10.522913 9.2150893 8.3383614 7.6510309 -11.4454 19.163465 532 -14.631914 4.4069751 27.428094 -11.4454 544 -0.5502491 10.459374 9.1612729 8.7631134 8.0861462 -11.12263 19.070398 544 -14.438953 4.9987477 25.987696 -11.12263 557 -0.526926 10.399119 9.1100762 9.1796933 8.5150806 -10.80313 18.982269 557 -14.246312 5.5993198 24.432791 -10.80313 570 -0.504535 10.341956 9.0613642 9.5866984 8.9366131 -10.48702 18.898785 570 -14.054004 6.2085518 23.002612 -10.48702 583 -0.4830435 10.287709 9.0150093 9.9826253 9.3494061 -10.1744 18.819675 583 -13.862044 6.8260795 21.746904 -10.1744 597 -0.4624195 10.236213 8.9708911 10.365889 9.7520133 -9.865384 18.744684 597 -13.670448 7.4512329 20.655265 -9.865384 611 -0.4426319 10.187313 8.9288958 10.734848 10.142895 -9.560093 18.673577 611 -13.479229 8.0829315 19.704028 -9.560093 625 -0.4236503 10.140865 8.8889157 11.087845 10.520438 -9.258637 18.606131 625 -13.288406 8.7195512 18.869917 -9.258637 639 -0.4054453 10.096735 8.8508491 11.423245 10.882991 -8.96113 18.542139 639 -13.097995 9.3587609 18.133236 -8.96113 654 -0.3879881 10.054796 8.8146 11.739488 11.2289 -8.667683 18.481408 654 -12.908012 9.9973278 17.478032 -8.667683

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670 -0.3712509 10.01493 8.7800773 12.035147 11.556553 -8.378406 18.423757 670 -12.718477 10.6309 16.891527 -8.378406 685 -0.3552065 9.977026 8.7471949 12.308979 11.86444 -8.09341 18.369014 685 -12.529409 11.253784 16.363469 -8.09341 701 -0.3398287 9.940979 8.7158713 12.559983 12.151202 -7.8128 18.317022 701 -12.340826 11.858768 15.885574 -7.8128 717 -0.325092 9.9066913 8.6860295 12.787446 12.415691 -7.53668 18.267629 717 -12.152749 12.43704 15.451091 -7.53668 734 -0.3109717 9.8740708 8.6575963 12.990974 12.65702 -7.265152 18.220695 734 -11.965199 12.978316 15.054464 -7.265152 751 -0.297444 9.8430307 8.6305026 13.170519 12.874604 -6.998312 18.176089 751 -11.778198 13.471272 14.691079 -6.998312 769 -0.2844856 9.8134893 8.6046827 13.326371 13.068192 -6.736253 18.133686 769 -11.591767 13.904365 14.357068 -6.736253 787 -0.2720743 9.7853696 8.5800746 13.459155 13.237874 -6.479062 18.09337 787 -11.405931 14.267034 14.049164 -6.479062 805 -0.2601884 9.7585989 8.5566193 13.569791 13.384085 -6.226823 18.05503 805 -11.220713 14.551098 13.764584 -6.226823 824 -0.2488069 9.7331088 8.5342608 13.659455 13.507574 -5.979612 18.018563 824 -11.036138 14.752053 13.500939 -5.979612 843 -0.2379099 9.7088346 8.5129463 13.729526 13.609373 -5.7375 17.983871 843 -10.852232 14.869845 13.256166 -5.7375 863 -0.2274776 9.6857151 8.4926253 13.781533 13.690751 -5.50055 17.950863 863 -10.66902 14.908886 13.028474 -5.50055 883 -0.2174915 9.6636926 8.47325 13.817092 13.753153 -5.26882 17.919451 883 -10.48653 14.877284 12.816296 -5.26882 903 -0.2079333 9.6427126 8.4547753 13.837859 13.798152 -5.042358 17.889555 903 -10.30479 14.785563 12.618255 -5.042358 924 -0.1987857 9.6227234 8.4371579 13.845486 13.827387 -4.821207 17.861096 924 -10.123829 14.645258 12.433135 -4.821207 946 -0.1900317 9.603676 8.4203571 13.841576 13.842517 -4.6054 17.834001 946 -9.9436759 14.467708 12.259858 -4.6054 968 -0.1816552 9.5855243 8.404334 13.827659 13.845177 -4.394961 17.808203 968 -9.7643614 14.263228 12.097464 -4.394961 990 -0.1736406 9.5682244 8.3890517 13.805169 13.836945 -4.189908 17.783635 990 -9.5859167 14.040664 11.945093 -4.189908 1,013 -0.1659729 9.5517348 8.374475 13.77543 13.819311 -3.990249 17.760237 1,013 -9.4083738 13.807267 11.801974 -3.990249 1,037 -0.1586376 9.536016 8.3605708 13.739649 13.793667 -3.795983 17.737949 1,037 -9.2317655 13.568761 11.667413 -3.795983 1,061 -0.1516209 9.5210309 8.3473071 13.698913 13.761288 -3.607101 17.716717 1,061 -9.0561252 13.329526 11.540782 -3.607101 1,086 -0.1449094 9.506744 8.334654 13.654191 13.72333 -3.423586 17.696489 1,086 -8.8814875 13.092818 11.421512 -3.423586 1,111 -0.1384903 9.4931217 8.3225827 13.60634 13.680834 -3.24541 17.677214 1,111 -8.7078872 12.860987 11.309087 -3.24541 1,137 -0.1323512 9.4801322 8.3110659 13.556112 13.634719 -3.07254 17.658847 1,137 -8.5353601 12.635671 11.203035 -3.07254 1,164 -0.1264803 9.4677451 8.3000777 13.504157 13.585799 -2.904933 17.641343 1,164 -8.3639428 12.417961 11.102927 -2.904933 1,191 -0.1208662 9.4559318 8.2895934 13.451041 13.534782 -2.742538 17.624659 1,191 -8.1936722 12.208535 11.008368 -2.742538 1,218 -0.115498 9.4446649 8.2795895 13.397244 13.482283 -2.585298 17.608756 1,218 -8.0245862 12.007764 10.918998 -2.585298 1,247 -0.1103652 9.4339186 8.2700437 13.343179 13.428831 -2.433149 17.593597 1,247 -7.8567229 11.815791 10.834484 -2.433149 1,276 -0.1054578 9.4236682 8.2609345 13.28919 13.374877 -2.286018 17.579145 1,276 -7.6901213 11.632596 10.754519 -2.286018 1,306 -0.100766 9.4138902 8.2522417 13.235569 13.320805 -2.143828 17.565366 1,306 -7.5248205 11.458044 10.678823 -2.143828 1,336 -0.0962807 9.4045625 8.2439461 13.182555 13.266936 -2.006497 17.552228 1,336 -7.3608604 11.291918 10.607133 -2.006497 1,367 -0.0919929 9.3956637 8.2360292 13.130348 13.213539 -1.873934 17.5397 1,367 -7.1982809 11.133946 10.539207 -1.873934 1,399 -0.0878942 9.3871739 8.2284735 13.079107 13.160838 -1.746048 17.527753 1,399 -7.0371225 10.983823 10.474823 -1.746048 1,431 -0.0839763 9.3790738 8.2212623 13.028961 13.109013 -1.622741 17.51636 1,431 -6.8774257 10.841224 10.413771 -1.622741 1,465 -0.0802314 9.3713453 8.2143798 12.980012 13.058211 -1.503911 17.505494 1,465 -6.7192312 10.705813 10.355858 -1.503911

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1,499 -0.0766521 9.3639709 8.2078107 12.932336 13.00855 -1.389454 17.495129 1,499 -6.5625799 10.577254 10.300903 -1.389454 1,534 -0.0732311 9.3569341 8.2015406 12.885991 12.96012 -1.279264 17.485244 1,534 -6.4075125 10.455215 10.248739 -1.279264 1,570 -0.0699616 9.3502194 8.1955559 12.841017 12.912989 -1.17323 17.475814 1,570 -6.2540698 10.339368 10.199209 -1.17323 1,606 -0.0668369 9.3438116 8.1898432 12.79744 12.867207 -1.071243 17.466818 1,606 -6.1022921 10.2294 10.152166 -1.071243 1,644 -0.0638507 9.3376965 8.1843903 12.755272 12.822809 -0.97319 17.458236 1,644 -5.9522196 10.125005 10.107474 -0.97319 1,682 -0.060997 9.3318607 8.1791851 12.714517 12.779814 -0.878957 17.450049 1,682 -5.8038922 10.025894 10.065003 -0.878957 1,721 -0.0582701 9.3262911 8.1742163 12.675171 12.738232 -0.788432 17.442237 1,721 -5.6573491 9.9317869 10.024633 -0.788432 1,761 -0.0556642 9.3209755 8.1694731 12.637219 12.698061 -0.701501 17.434784 1,761 -5.5126289 9.8424208 9.9862519 -0.701501 1,802 -0.0531742 9.3159021 8.1649451 12.600645 12.659293 -0.618052 17.427673 1,802 -5.3697696 9.7575443 9.9497535 -0.618052 1,844 -0.0507949 9.3110597 8.1606225 12.565424 12.621914 -0.53797 17.420887 1,844 -5.2288082 9.6769191 9.9150382 -0.53797 1,887 -0.0485215 9.3064378 8.156496 12.531531 12.585903 -0.461146 17.414412 1,887 -5.0897809 9.6003201 9.8820124 -0.461146 1,931 -0.0463493 9.3020262 8.1525565 12.498936 12.551236 -0.387469 17.408233 1,931 -4.9527227 9.5275339 9.8505881 -0.387469 1,976 -0.0442738 9.2978152 8.1487955 12.467607 12.517884 -0.316829 17.402337 1,976 -4.8176676 9.4583591 9.8206823 -0.316829 2,022 -0.0422908 9.2937956 8.1452049 12.437509 12.485817 -0.24912 17.39671 2,022 -4.6846481 9.3926055 9.7922168 -0.24912 2,069 -0.0403962 9.2899587 8.141777 12.408608 12.455001 -0.184238 17.391339 2,069 -4.5536953 9.3300931 9.765118 -0.184238 2,117 -0.0385862 9.286296 8.1385042 12.380868 12.425403 -0.122078 17.386214 2,117 -4.4248391 9.2706524 9.7393164 -0.122078 2,167 -0.0368568 9.2827995 8.1353796 12.354253 12.396988 -0.062539 17.381322 2,167 -4.2981074 9.214123 9.7147464 -0.062539 2,217 -0.0352047 9.2794618 8.1323964 12.328725 12.369717 -0.005524 17.376653 2,217 -4.1735264 9.1603538 9.6913459 -0.005524 2,269 -0.0336264 9.2762754 8.1295482 12.304248 12.343556 0.0490646 17.372197 2,269 -4.0511208 9.1092018 9.6690566 0.0490646 2,322 -0.0321185 9.2732335 8.1268288 12.280786 12.318468 0.1013196 17.367944 2,322 -3.930913 9.0605321 9.6478229 0.1013196 2,376 -0.030678 9.2703295 8.1242323 12.258302 12.294415 0.1513324 17.363884 2,376 -3.8129237 9.0142175 9.6275925 0.1513324 2,431 -0.0293019 9.2675571 8.1217533 12.236761 12.271362 0.1991915 17.360008 2,431 -3.6971711 8.9701374 9.6083159 0.1991915 2,488 -0.0279874 9.2649103 8.1193863 12.216127 12.249273 0.2449827 17.356309 2,488 -3.5836717 8.9281783 9.5899462 0.2449827 2,546 -0.0267316 9.2623834 8.1171263 12.196368 12.228112 0.2887892 17.352778 2,546 -3.4724395 8.8882326 9.5724389 0.2887892 2,605 -0.025532 9.2599708 8.1149684 12.177449 12.207845 0.3306916 17.349407 2,605 -3.3634862 8.8501987 9.555752 0.3306916 2,666 -0.0243861 9.2576675 8.112908 12.159338 12.188437 0.3707676 17.346189 2,666 -3.2568212 8.8139806 9.5398456 0.3707676 2,728 -0.0232915 9.2554684 8.1109407 12.142002 12.169856 0.4090926 17.343118 2,728 -3.1524516 8.7794873 9.5246819 0.4090926 2,791 -0.0222459 9.2533688 8.1090622 12.125412 12.15207 0.4457392 17.340185 2,791 -3.050382 8.7466329 9.510225 0.4457392 2,856 -0.0212471 9.2513641 8.1072686 12.109537 12.135046 0.4807775 17.337386 2,856 -2.9506145 8.7153359 9.4964408 0.4807775 2,923 -0.020293 9.2494501 8.1055559 12.094349 12.118756 0.5142749 17.334713 2,923 -2.8531491 8.6855194 9.4832972 0.5142749 2,991 -0.0193817 9.2476227 8.1039205 12.079819 12.103169 0.5462967 17.332161 2,991 -2.7579828 8.6571103 9.4707634 0.5462967 3,060 -0.0185113 9.2458778 8.102359 12.06592 12.088256 0.5769052 17.329726 3,060 -2.6651108 8.6300394 9.4588104 0.5769052 3,132 -0.0176798 9.2442118 8.1008679 12.052626 12.07399 0.606161 17.3274 3,132 -2.5745253 8.6042414 9.4474104 0.606161 3,205 -0.0168856 9.2426211 8.0994441 12.039913 12.060345 0.6341217 17.32518 3,205 -2.4862166 8.5796539 9.4365373 0.6341217 3,279 -0.0161271 9.2411022 8.0980846 12.027756 12.047295 0.6608432 17.32306 3,279 -2.4001724 8.5562183 9.4261661 0.6608432

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3,356 -0.0154025 9.2396519 8.0967864 12.016131 12.034815 0.6863788 17.321036 3,356 -2.3163782 8.5338786 9.416273 0.6863788 3,434 -0.0147105 9.2382672 8.0955468 12.005016 12.022881 0.7107799 17.319103 3,434 -2.2348173 8.5125818 9.4068356 0.7107799 3,514 -0.0140495 9.2369449 8.094363 11.994389 12.011469 0.7340958 17.317259 3,514 -2.1554709 8.4922778 9.3978324 0.7340958 3,596 -0.0134181 9.2356824 8.0932327 11.98423 12.000559 0.7563737 17.315497 3,596 -2.0783178 8.4729187 9.3892429 0.7563737 3,679 -0.0128151 9.2344768 8.0921533 11.974518 11.990128 0.7776589 17.313815 3,679 -2.0033353 8.4544594 9.3810479 0.7776589 3,765 -0.0122391 9.2333257 8.0911226 11.965235 11.980157 0.797995 17.312209 3,765 -1.9304984 8.4368567 9.3732288 0.797995 3,853 -0.011689 9.2322265 8.0901384 11.956362 11.970625 0.8174235 17.310676 3,853 -1.8597805 8.4200698 9.3657681 0.8174235

Page 48: Bode Para Filtros Ativos -Sallen-Key

Filtro 3 Filtro 4Ord. do filtro 4 núm. de dec.(n)

2 2 PB-1,PA-2,PF-3 3 3 3 3 3 365685 65685 Ra 0 10000 10000 65685 65685 6568510000 10000 Rb 0 26000 26000 10000 10000 10000

1591 1591 R 0.0000001 20000 26700 1591 1591 15910.0000001 0.0000001 C 0.0000001 1E-08 1E-08 0.0000001 0.0000001 0.00000011000.3453 1000.3453 fo 1.5915E+13 1125.3954 842.99281 1414.7019 1414.7019 1414.70190.5411963 0.5411963 Q 0 3.5355339 3.5355339 0.4966059 0.4966059 0.49660591.1522418 1.1522418 G=(1+Rb/Ra) 0 3.6 3.6 1.1522418 1.1522418 1.1522418

Filtro 3 Frequência Filtro 4-55.35296 -55.35296 -118.0524 39 0 -21.18494 -18.66766 -33.08371 -33.08371 -33.08371 -39.8526-54.95339 -54.95339 -117.0493 39 0 -20.98448 -18.46683 -32.88402 -32.88402 -32.88402 -39.45131-54.55384 -54.55384 -116.0461 40 0 -20.78399 -18.26597 -32.68435 -32.68435 -32.68435 -39.04997-54.15431 -54.15431 -115.0428 41 0 -20.58349 -18.06507 -32.48469 -32.48469 -32.48469 -38.64856-53.75481 -53.75481 -114.0393 42 0 -20.38296 -17.86413 -32.28504 -32.28504 -32.28504 -38.24709-53.35532 -53.35532 -113.0356 43 0 -20.1824 -17.66314 -32.08542 -32.08542 -32.08542 -37.84554-52.95586 -52.95586 -112.0318 44 0 -19.98182 -17.4621 -31.88581 -31.88581 -31.88581 -37.44393-52.55643 -52.55643 -111.0277 45 0 -19.78122 -17.26102 -31.68622 -31.68622 -31.68622 -37.04223-52.15702 -52.15702 -110.0235 46 0 -19.58058 -17.05988 -31.48665 -31.48665 -31.48665 -36.64046-51.75764 -51.75764 -109.0191 47 0 -19.37991 -16.85869 -31.2871 -31.2871 -31.2871 -36.2386-51.35829 -51.35829 -108.0145 49 0 -19.17921 -16.65745 -31.08757 -31.08757 -31.08757 -35.83666-50.95897 -50.95897 -107.0096 50 0 -18.97848 -16.45614 -30.88807 -30.88807 -30.88807 -35.43462-50.55969 -50.55969 -106.0046 51 0 -18.77772 -16.25477 -30.68859 -30.68859 -30.68859 -35.03249-50.16043 -50.16043 -104.9992 52 0 -18.57692 -16.05334 -30.48913 -30.48913 -30.48913 -34.63026-49.76121 -49.76121 -103.9937 53 0 -18.37608 -15.85184 -30.28969 -30.28969 -30.28969 -34.22792-49.36203 -49.36203 -102.9878 54 0 -18.1752 -15.65027 -30.09029 -30.09029 -30.09029 -33.82547-48.96289 -48.96289 -101.9817 56 0 -17.97428 -15.44863 -29.89091 -29.89091 -29.89091 -33.4229-48.56379 -48.56379 -100.9753 57 0 -17.77331 -15.24691 -29.69156 -29.69156 -29.69156 -33.02022-48.16473 -48.16473 -99.96861 58 0 -17.5723 -15.0451 -29.49224 -29.49224 -29.49224 -32.61741

Page 49: Bode Para Filtros Ativos -Sallen-Key

-47.76571 -47.76571 -98.96158 60 0 -17.37124 -14.84322 -29.29295 -29.29295 -29.29295 -32.21446-47.36674 -47.36674 -97.95422 61 0 -17.17014 -14.64124 -29.0937 -29.0937 -29.0937 -31.81137-46.96782 -46.96782 -96.94651 62 0 -16.96898 -14.43917 -28.89448 -28.89448 -28.89448 -31.40814-46.56895 -46.56895 -95.93843 64 0 -16.76776 -14.237 -28.6953 -28.6953 -28.6953 -31.00476-46.17013 -46.17013 -94.92996 65 0 -16.56649 -14.03472 -28.49616 -28.49616 -28.49616 -30.60121-45.77137 -45.77137 -93.92109 67 0 -16.36516 -13.83234 -28.29706 -28.29706 -28.29706 -30.1975-45.37266 -45.37266 -92.91179 69 0 -16.16376 -13.62985 -28.098 -28.098 -28.098 -29.79361-44.97402 -44.97402 -91.90205 70 0 -15.9623 -13.42724 -27.89898 -27.89898 -27.89898 -29.38954-44.57544 -44.57544 -90.89184 72 0 -15.76077 -13.2245 -27.70001 -27.70001 -27.70001 -28.98527-44.17693 -44.17693 -89.88115 73 0 -15.55917 -13.02164 -27.50109 -27.50109 -27.50109 -28.5808-43.77849 -43.77849 -88.86994 75 0 -15.35749 -12.81864 -27.30222 -27.30222 -27.30222 -28.17612-43.38012 -43.38012 -87.8582 77 0 -15.15573 -12.61549 -27.1034 -27.1034 -27.1034 -27.77122-42.98183 -42.98183 -86.84589 79 0 -14.95389 -12.4122 -26.90464 -26.90464 -26.90464 -27.36609-42.58362 -42.58362 -85.83299 80 0 -14.75196 -12.20875 -26.70593 -26.70593 -26.70593 -26.96071

-42.1855 -42.1855 -84.81947 82 0 -14.54994 -12.00514 -26.50729 -26.50729 -26.50729 -26.55508-41.78746 -41.78746 -83.8053 84 0 -14.34782 -11.80135 -26.30871 -26.30871 -26.30871 -26.14918-41.38952 -41.38952 -82.79044 86 0 -14.14561 -11.59739 -26.1102 -26.1102 -26.1102 -25.743-40.99167 -40.99167 -81.77487 88 0 -13.94329 -11.39324 -25.91176 -25.91176 -25.91176 -25.33652-40.59392 -40.59392 -80.75855 90 0 -13.74086 -11.18889 -25.71339 -25.71339 -25.71339 -24.92974-40.19628 -40.19628 -79.74144 92 0 -13.53831 -10.98433 -25.51509 -25.51509 -25.51509 -24.52264-39.79875 -39.79875 -78.7235 95 0 -13.33564 -10.77955 -25.31688 -25.31688 -25.31688 -24.1152-39.40134 -39.40134 -77.70469 97 0 -13.13285 -10.57455 -25.11875 -25.11875 -25.11875 -23.7074-39.00405 -39.00405 -76.68497 99 0 -12.92992 -10.36931 -24.92071 -24.92071 -24.92071 -23.29923-38.60688 -38.60688 -75.66429 101 0 -12.72686 -10.16382 -24.72276 -24.72276 -24.72276 -22.89068-38.20985 -38.20985 -74.6426 104 0 -12.52365 -9.958063 -24.5249 -24.5249 -24.5249 -22.48171-37.81296 -37.81296 -73.61986 106 0 -12.32029 -9.752034 -24.32715 -24.32715 -24.32715 -22.07232-37.41622 -37.41622 -72.596 109 0 -12.11677 -9.545717 -24.1295 -24.1295 -24.1295 -21.66248-37.01963 -37.01963 -71.57098 111 0 -11.91308 -9.339098 -23.93196 -23.93196 -23.93196 -21.25217

-36.6232 -36.6232 -70.54473 114 0 -11.70921 -9.132162 -23.73454 -23.73454 -23.73454 -20.84137-36.22694 -36.22694 -69.5172 116 0 -11.50516 -8.924894 -23.53724 -23.53724 -23.53724 -20.43006-35.83086 -35.83086 -68.4883 119 0 -11.30092 -8.717277 -23.34006 -23.34006 -23.34006 -20.0182-35.43496 -35.43496 -67.45799 122 0 -11.09648 -8.509294 -23.14302 -23.14302 -23.14302 -19.60577-35.03925 -35.03925 -66.42618 125 0 -10.89182 -8.300929 -22.94611 -22.94611 -22.94611 -19.19275-34.64374 -34.64374 -65.39279 128 0 -10.68695 -8.092161 -22.74935 -22.74935 -22.74935 -18.77911-34.24845 -34.24845 -64.35774 131 0 -10.48184 -7.882971 -22.55274 -22.55274 -22.55274 -18.36481

Page 50: Bode Para Filtros Ativos -Sallen-Key

-33.85338 -33.85338 -63.32096 134 0 -10.27648 -7.673339 -22.35629 -22.35629 -22.35629 -17.94982-33.45854 -33.45854 -62.28233 137 0 -10.07088 -7.463242 -22.16 -22.16 -22.16 -17.53412-33.06394 -33.06394 -61.24177 140 0 -9.864999 -7.252658 -21.96389 -21.96389 -21.96389 -17.11766

-32.6696 -32.6696 -60.19918 143 0 -9.658841 -7.041563 -21.76796 -21.76796 -21.76796 -16.7004-32.27553 -32.27553 -59.15445 146 0 -9.45239 -6.829931 -21.57222 -21.57222 -21.57222 -16.28232-31.88173 -31.88173 -58.10745 150 0 -9.245629 -6.617735 -21.37667 -21.37667 -21.37667 -15.86336-31.48823 -31.48823 -57.05807 153 0 -9.038545 -6.404948 -21.18134 -21.18134 -21.18134 -15.44349-31.09503 -31.09503 -56.00619 157 0 -8.831121 -6.19154 -20.98622 -20.98622 -20.98622 -15.02266-30.70215 -30.70215 -54.95165 161 0 -8.623341 -5.97748 -20.79132 -20.79132 -20.79132 -14.60082-30.30961 -30.30961 -53.89432 164 0 -8.415188 -5.762735 -20.59667 -20.59667 -20.59667 -14.17792-29.91741 -29.91741 -52.83403 168 0 -8.206643 -5.547271 -20.40226 -20.40226 -20.40226 -13.75391-29.52559 -29.52559 -51.77063 172 0 -7.997687 -5.331052 -20.20811 -20.20811 -20.20811 -13.32874-29.13415 -29.13415 -50.70394 176 0 -7.7883 -5.114038 -20.01424 -20.01424 -20.01424 -12.90234-28.74311 -28.74311 -49.63376 180 0 -7.578461 -4.89619 -19.82065 -19.82065 -19.82065 -12.47465

-28.3525 -28.3525 -48.55991 184 0 -7.368147 -4.677465 -19.62735 -19.62735 -19.62735 -12.04561-27.96232 -27.96232 -47.48215 189 0 -7.157335 -4.457819 -19.43436 -19.43436 -19.43436 -11.61515-27.57261 -27.57261 -46.40027 193 0 -6.946 -4.237203 -19.2417 -19.2417 -19.2417 -11.1832-27.18338 -27.18338 -45.31402 198 0 -6.734117 -4.015568 -19.04938 -19.04938 -19.04938 -10.74968-26.79466 -26.79466 -44.22313 202 0 -6.521658 -3.792861 -18.85741 -18.85741 -18.85741 -10.31452-26.40646 -26.40646 -43.12732 207 0 -6.308594 -3.569027 -18.66582 -18.66582 -18.66582 -9.87762-26.01882 -26.01882 -42.02629 212 0 -6.094895 -3.344005 -18.4746 -18.4746 -18.4746 -9.438901-25.63176 -25.63176 -40.91971 217 0 -5.88053 -3.117735 -18.2838 -18.2838 -18.2838 -8.998265-25.24531 -25.24531 -39.80723 222 0 -5.665464 -2.890149 -18.09341 -18.09341 -18.09341 -8.555614

-24.8595 -24.8595 -38.68847 227 0 -5.449663 -2.661179 -17.90347 -17.90347 -17.90347 -8.110842-24.47435 -24.47435 -37.56302 232 0 -5.23309 -2.43075 -17.71399 -17.71399 -17.71399 -7.663839-24.08989 -24.08989 -36.43043 238 0 -5.015704 -2.198783 -17.52498 -17.52498 -17.52498 -7.214487-23.70617 -23.70617 -35.29022 243 0 -4.797465 -1.965196 -17.33649 -17.33649 -17.33649 -6.762661-23.32321 -23.32321 -34.14186 249 0 -4.57833 -1.729901 -17.14851 -17.14851 -17.14851 -6.308231-22.94104 -22.94104 -32.98478 255 0 -4.358251 -1.492804 -16.96109 -16.96109 -16.96109 -5.851055-22.55971 -22.55971 -31.81835 260 0 -4.137181 -1.253806 -16.77423 -16.77423 -16.77423 -5.390987-22.17925 -22.17925 -30.64189 267 0 -3.915069 -1.012801 -16.58798 -16.58798 -16.58798 -4.92787

-21.7997 -21.7997 -29.45463 273 0 -3.69186 -0.769677 -16.40234 -16.40234 -16.40234 -4.461537-21.42111 -21.42111 -28.25576 279 0 -3.467496 -0.524316 -16.21736 -16.21736 -16.21736 -3.991812-21.04352 -21.04352 -27.04435 286 0 -3.241918 -0.276589 -16.03306 -16.03306 -16.03306 -3.518507-20.66697 -20.66697 -25.81939 292 0 -3.015062 -0.026361 -15.84946 -15.84946 -15.84946 -3.041423

Page 51: Bode Para Filtros Ativos -Sallen-Key

-20.29151 -20.29151 -24.57973 299 0 -2.78686 0.2265123 -15.66661 -15.66661 -15.66661 -2.560347-19.91719 -19.91719 -23.32411 306 0 -2.557239 0.4821851 -15.48452 -15.48452 -15.48452 -2.075054-19.54407 -19.54407 -22.05112 313 0 -2.326125 0.7408224 -15.30323 -15.30323 -15.30323 -1.585303-19.17219 -19.17219 -20.75914 320 0 -2.093437 1.0026005 -15.12279 -15.12279 -15.12279 -1.090837-18.80161 -18.80161 -19.44636 328 0 -1.85909 1.2677083 -14.94321 -14.94321 -14.94321 -0.591381

-18.4324 -18.4324 -18.11071 336 0 -1.622992 1.536348 -14.76454 -14.76454 -14.76454 -0.086644-18.0646 -18.0646 -16.74981 343 0 -1.385049 1.8087366 -14.58682 -14.58682 -14.58682 0.423688

-17.69829 -17.69829 -15.36092 351 0 -1.145157 2.0851074 -14.41009 -14.41009 -14.41009 0.9399502-17.33353 -17.33353 -13.94087 360 0 -0.903209 2.3657108 -14.23438 -14.23438 -14.23438 1.4625015-16.97038 -16.97038 -12.48592 368 0 -0.65909 2.6508165 -14.05974 -14.05974 -14.05974 1.9917269-16.60892 -16.60892 -10.99169 377 0 -0.412675 2.9407155 -13.88622 -13.88622 -13.88622 2.5280402-16.24923 -16.24923 -9.452921 385 0 -0.163836 3.2357213 -13.71385 -13.71385 -13.71385 3.0718857-15.89137 -15.89137 -7.863328 394 0 0.0875692 3.5361729 -13.54268 -13.54268 -13.54268 3.6237421-15.53542 -15.53542 -6.215264 403 0 0.3416877 3.8424371 -13.37277 -13.37277 -13.37277 4.1841248-15.18147 -15.18147 -4.499359 413 0 0.598679 4.1549111 -13.20416 -13.20416 -13.20416 4.7535901-14.82959 -14.82959 -2.704027 422 0 0.858713 4.4740259 -13.0369 -13.0369 -13.0369 5.3327389-14.47988 -14.47988 -0.814862 432 0 1.1219715 4.8002498 -12.87105 -12.87105 -12.87105 5.9222213-14.13243 -14.13243 1.1860154 442 0 1.3886493 5.1340919 -12.70666 -12.70666 -12.70666 6.5227412-13.78732 -13.78732 3.3203292 453 0 1.6589553 5.4761069 -12.54378 -12.54378 -12.54378 7.1350622-13.44465 -13.44465 5.6125949 463 0 1.9331135 5.8268998 -12.38247 -12.38247 -12.38247 7.7600133-13.10451 -13.10451 8.0837492 474 0 2.2113647 6.1871309 -12.2228 -12.2228 -12.2228 8.3984956-12.76701 -12.76701 10.727001 485 0 2.493968 6.557522 -12.06482 -12.06482 -12.06482 9.05149-12.43224 -12.43224 13.431139 496 0 2.7812023 6.9388624 -11.9086 -11.9086 -11.9086 9.7200648-12.10032 -12.10032 15.807843 508 0 3.0733686 7.3320159 -11.75419 -11.75419 -11.75419 10.405385-11.77133 -11.77133 17.155039 520 0 3.3707917 7.7379275 -11.60166 -11.60166 -11.60166 11.108719

-11.4454 -11.4454 17.203155 532 0 3.6738226 8.1576303 -11.45109 -11.45109 -11.45109 11.831453-11.12263 -11.12263 16.547491 544 0 3.9828417 8.592252 -11.30253 -11.30253 -11.30253 12.575094-10.80313 -10.80313 15.785799 557 0 4.298261 9.0430197 -11.15606 -11.15606 -11.15606 13.341281-10.48702 -10.48702 15.157159 570 0 4.6205279 9.5112615 -11.01175 -11.01175 -11.01175 14.131789

-10.1744 -10.1744 14.710939 583 0 4.9501286 9.9984036 -10.86966 -10.86966 -10.86966 14.948532-9.865384 -9.865384 14.436051 597 0 5.2875922 10.505957 -10.72988 -10.72988 -10.72988 15.793549-9.560093 -9.560093 14.30773 611 0 5.6334956 11.035489 -10.59248 -10.59248 -10.59248 16.668985-9.258637 -9.258637 14.301062 625 0 5.988468 11.588571 -10.45752 -10.45752 -10.45752 17.577039

-8.96113 -8.96113 14.394003 639 0 6.3531969 12.166679 -10.3251 -10.3251 -10.3251 18.519875-8.667683 -8.667683 14.567348 654 0 6.7284336 12.771031 -10.19528 -10.19528 -10.19528 19.499464

Page 52: Bode Para Filtros Ativos -Sallen-Key

-8.378406 -8.378406 14.80395 670 0 7.1150004 13.402314 -10.06815 -10.06815 -10.06815 20.517315-8.09341 -8.09341 15.087845 685 0 7.5137968 14.060239 -9.943772 -9.943772 -9.943772 21.574036

-7.8128 -7.8128 15.403517 701 0 7.9258068 14.74282 -9.822238 -9.822238 -9.822238 22.668627-7.53668 -7.53668 15.735383 717 0 8.3521055 15.44527 -9.703625 -9.703625 -9.703625 23.797375

-7.265152 -7.265152 16.067581 734 0 8.7938651 16.158337 -9.58801 -9.58801 -9.58801 24.952203-6.998312 -6.998312 16.384153 751 0 9.2523584 16.866026 -9.475474 -9.475474 -9.475474 26.118384-6.736253 -6.736253 16.669666 769 0 9.7289586 17.542893 -9.366096 -9.366096 -9.366096 27.271852-6.479062 -6.479062 16.910267 787 0 10.225133 18.151906 -9.259954 -9.259954 -9.259954 28.377039-6.226823 -6.226823 17.094969 805 0 10.742422 18.6451 -9.157128 -9.157128 -9.157128 29.387522-5.979612 -5.979612 17.216853 824 0 11.282404 18.970255 -9.057695 -9.057695 -9.057695 30.252659

-5.7375 -5.7375 17.273779 843 0 11.846622 19.084848 -8.961732 -8.961732 -8.961732 30.93147-5.50055 -5.50055 17.26834 863 0 12.436462 18.972143 -8.869315 -8.869315 -8.869315 31.408604-5.26882 -5.26882 17.20705 883 0 13.052944 18.648607 -8.780518 -8.780518 -8.780518 31.701551

-5.042358 -5.042358 17.099028 903 0 13.696383 18.156611 -8.695415 -8.695415 -8.695415 31.852994-4.821207 -4.821207 16.954564 924 0 14.365832 17.54836 -8.614077 -8.614077 -8.614077 31.914191

-4.6054 -4.6054 16.783891 946 0 15.058206 16.871892 -8.536574 -8.536574 -8.536574 31.930097-4.394961 -4.394961 16.59633 968 0 15.766944 16.164341 -8.462972 -8.462972 -8.462972 31.931284-4.189908 -4.189908 16.39984 990 0 16.480064 15.451241 -8.393338 -8.393338 -8.393338 31.931305-3.990249 -3.990249 16.200867 1,013 0 17.177639 14.748655 -8.327733 -8.327733 -8.327733 31.926294-3.795983 -3.795983 16.004408 1,037 0 17.829154 14.065882 -8.266218 -8.266218 -8.266218 31.895036-3.607101 -3.607101 15.814182 1,061 0 18.392269 13.407739 -8.208849 -8.208849 -8.208849 31.800008-3.423586 -3.423586 15.632843 1,086 0 18.815809 12.776228 -8.15568 -8.15568 -8.15568 31.592037

-3.24541 -3.24541 15.462187 1,111 0 19.049867 12.171651 -8.106761 -8.106761 -8.106761 31.221518-3.07254 -3.07254 15.303346 1,137 0 19.061838 11.593328 -8.06214 -8.06214 -8.06214 30.655165

-2.904933 -2.904933 15.156945 1,164 0 18.849948 11.040041 -8.02186 -8.02186 -8.02186 29.88999-2.742538 -2.742538 15.023231 1,191 0 18.444058 10.510317 -7.985959 -7.985959 -7.985959 28.954376-2.585298 -2.585298 14.902176 1,218 0 17.893066 10.002586 -7.954474 -7.954474 -7.954474 27.895652-2.433149 -2.433149 14.793552 1,247 0 17.248622 9.5152783 -7.927435 -7.927435 -7.927435 26.7639-2.286018 -2.286018 14.696994 1,276 0 16.554236 9.0468835 -7.90487 -7.90487 -7.90487 25.601119-2.143828 -2.143828 14.612046 1,306 0 15.841646 8.5959746 -7.886801 -7.886801 -7.886801 24.437621-2.006497 -2.006497 14.53819 1,336 0 15.131774 8.1612223 -7.873247 -7.873247 -7.873247 23.292996-1.873934 -1.873934 14.474872 1,367 0 14.437304 7.7413989 -7.864221 -7.864221 -7.864221 22.178703-1.746048 -1.746048 14.421523 1,399 0 13.765264 7.3353757 -7.859732 -7.859732 -7.859732 21.10064-1.622741 -1.622741 14.377569 1,431 0 13.11903 6.9421189 -7.859785 -7.859785 -7.859785 20.061149-1.503911 -1.503911 14.34244 1,465 0 12.499724 6.5606828 -7.86438 -7.86438 -7.86438 19.060407

Page 53: Bode Para Filtros Ativos -Sallen-Key

-1.389454 -1.389454 14.315578 1,499 0 11.907135 6.190203 -7.873512 -7.873512 -7.873512 18.097338-1.279264 -1.279264 14.296442 1,534 0 11.340296 5.8298896 -7.887172 -7.887172 -7.887172 17.170186

-1.17323 -1.17323 14.284508 1,570 0 10.797848 5.4790202 -7.905346 -7.905346 -7.905346 16.276869-1.071243 -1.071243 14.279274 1,606 0 10.278258 5.1369339 -7.928016 -7.928016 -7.928016 15.415192

-0.97319 -0.97319 14.280259 1,644 0 9.7799474 4.8030254 -7.955159 -7.955159 -7.955159 14.582973-0.878957 -0.878957 14.287004 1,682 0 9.3013686 4.4767397 -7.986748 -7.986748 -7.986748 13.778108-0.788432 -0.788432 14.299071 1,721 0 8.8410463 4.157567 -8.022751 -8.022751 -8.022751 12.998613-0.701501 -0.701501 14.316044 1,761 0 8.3975966 3.845039 -8.063134 -8.063134 -8.063134 12.242636-0.618052 -0.618052 14.337528 1,802 0 7.9697363 3.5387243 -8.107856 -8.107856 -8.107856 11.508461

-0.53797 -0.53797 14.363149 1,844 0 7.5562828 3.2382254 -8.156874 -8.156874 -8.156874 10.794508-0.461146 -0.461146 14.392552 1,887 0 7.1561511 2.9431752 -8.210142 -8.210142 -8.210142 10.099326-0.387469 -0.387469 14.425399 1,931 0 6.7683478 2.6532346 -8.267608 -8.267608 -8.267608 9.4215825-0.316829 -0.316829 14.461374 1,976 0 6.391965 2.3680898 -8.32922 -8.32922 -8.32922 8.7600548

-0.24912 -0.24912 14.500174 2,022 0 6.0261727 2.0874497 -8.394919 -8.394919 -8.394919 8.1136224-0.184238 -0.184238 14.541516 2,069 0 5.6702124 1.8110444 -8.464647 -8.464647 -8.464647 7.4812568-0.122078 -0.122078 14.58513 2,117 0 5.3233902 1.5386232 -8.538341 -8.538341 -8.538341 6.8620135-0.062539 -0.062539 14.630762 2,167 0 4.9850711 1.2699529 -8.615935 -8.615935 -8.615935 6.2550241-0.005524 -0.005524 14.678173 2,217 0 4.6546731 1.0048163 -8.697361 -8.697361 -8.697361 5.65948940.0490646 0.0490646 14.727138 2,269 0 4.3316621 0.743011 -8.782552 -8.782552 -8.782552 5.07467310.1013196 0.1013196 14.777442 2,322 0 4.0155477 0.484348 -8.871434 -8.871434 -8.871434 4.49989570.1513324 0.1513324 14.828886 2,376 0 3.7058786 0.228651 -8.963935 -8.963935 -8.963935 3.93452960.1991915 0.1991915 14.881282 2,431 0 3.4022393 -0.024245 -9.05998 -9.05998 -9.05998 3.37799420.2449827 0.2449827 14.934453 2,488 0 3.1042462 -0.274495 -9.159493 -9.159493 -9.159493 2.82975170.2887892 0.2887892 14.988232 2,546 0 2.8115454 -0.522242 -9.262398 -9.262398 -9.262398 2.28930340.3306916 0.3306916 15.042465 2,605 0 2.5238093 -0.767623 -9.368616 -9.368616 -9.368616 1.75618620.3707676 0.3707676 15.097005 2,666 0 2.2407347 -1.010765 -9.478069 -9.478069 -9.478069 1.22996980.4090926 0.4090926 15.151718 2,728 0 1.9620405 -1.251787 -9.590677 -9.590677 -9.590677 0.71025340.4457392 0.4457392 15.206476 2,791 0 1.6874655 -1.490802 -9.706363 -9.706363 -9.706363 0.19666390.4807775 0.4807775 15.261162 2,856 0 1.4167671 -1.727914 -9.825046 -9.825046 -9.825046 -0.3111470.5142749 0.5142749 15.315668 2,923 0 1.1497196 -1.963224 -9.946646 -9.946646 -9.946646 -0.8135050.5462967 0.5462967 15.369891 2,991 0 0.8861125 -2.196825 -10.07109 -10.07109 -10.07109 -1.3107130.5769052 0.5769052 15.423739 3,060 0 0.6257497 -2.428805 -10.19828 -10.19828 -10.19828 -1.803055

0.606161 0.606161 15.477126 3,132 0 0.3684482 -2.659247 -10.32816 -10.32816 -10.32816 -2.2907990.6341217 0.6341217 15.529975 3,205 0 0.1140366 -2.888229 -10.46065 -10.46065 -10.46065 -2.7741930.6608432 0.6608432 15.582212 3,279 0 -0.137645 -3.115826 -10.59566 -10.59566 -10.59566 -3.253471

Page 54: Bode Para Filtros Ativos -Sallen-Key

0.6863788 0.6863788 15.633773 3,356 0 -0.386747 -3.342107 -10.73312 -10.73312 -10.73312 -3.7288540.7107799 0.7107799 15.6846 3,434 0 -0.633408 -3.567139 -10.87296 -10.87296 -10.87296 -4.2005470.7340958 0.7340958 15.734639 3,514 0 -0.877762 -3.790983 -11.01509 -11.01509 -11.01509 -4.6687460.7563737 0.7563737 15.783844 3,596 0 -1.119932 -4.013699 -11.15946 -11.15946 -11.15946 -5.1336310.7776589 0.7776589 15.832172 3,679 0 -1.360034 -4.235343 -11.30598 -11.30598 -11.30598 -5.595376

0.797995 0.797995 15.879587 3,765 0 -1.598176 -4.455967 -11.45458 -11.45458 -11.45458 -6.0541430.8174235 0.8174235 15.926057 3,853 0 -1.834462 -4.675621 -11.60521 -11.60521 -11.60521 -6.510084