Version 4 SHEET 1 880 1444 WIRE -288 144 -640 144 WIRE -224 144 -288 144 WIRE -640 160 -640 144 WIRE -288 240 -288 144 WIRE -816 256 -864 256 WIRE -768 256 -816 256 WIRE -640 256 -640 224 WIRE -640 256 -688 256 WIRE -576 256 -640 256 WIRE -464 256 -496 256 WIRE -336 256 -464 256 WIRE -464 288 -464 256 WIRE -336 352 -336 304 WIRE -288 352 -288 320 WIRE -464 384 -464 352 WIRE -288 464 -640 464 WIRE -224 464 -288 464 WIRE -640 480 -640 464 WIRE -288 560 -288 464 WIRE -864 576 -864 256 WIRE -816 576 -864 576 WIRE -768 576 -816 576 WIRE -640 576 -640 544 WIRE -640 576 -688 576 WIRE -576 576 -640 576 WIRE -464 576 -496 576 WIRE -336 576 -464 576 WIRE -464 608 -464 576 WIRE -336 672 -336 624 WIRE -288 672 -288 640 WIRE -464 704 -464 672 WIRE -864 736 -864 576 WIRE -752 736 -864 736 WIRE -656 736 -704 736 WIRE -864 768 -864 736 WIRE -704 768 -704 736 WIRE -752 784 -752 736 WIRE -864 880 -864 848 WIRE -752 880 -752 832 WIRE -704 880 -704 848 WIRE -272 1024 -672 1024 WIRE -672 1072 -672 1024 WIRE -336 1120 -336 1104 WIRE -368 1136 -400 1136 WIRE -272 1152 -272 1024 WIRE -272 1152 -304 1152 WIRE -208 1152 -272 1152 WIRE -848 1168 -896 1168 WIRE -800 1168 -848 1168 WIRE -672 1168 -672 1136 WIRE -672 1168 -720 1168 WIRE -608 1168 -672 1168 WIRE -496 1168 -528 1168 WIRE -368 1168 -496 1168 WIRE -272 1184 -272 1152 WIRE -496 1200 -496 1168 WIRE -336 1200 -336 1184 WIRE -400 1280 -400 1136 WIRE -272 1280 -272 1264 WIRE -272 1280 -400 1280 WIRE -784 1296 -784 1280 WIRE -672 1296 -672 1280 WIRE -496 1296 -496 1264 WIRE -272 1296 -272 1280 WIRE -784 1392 -784 1376 WIRE -672 1392 -672 1376 WIRE -272 1392 -272 1376 FLAG -752 880 0 FLAG -704 880 0 FLAG -864 880 0 FLAG -656 736 test FLAG -288 352 0 FLAG -336 352 0 FLAG -464 384 0 FLAG -816 256 in FLAG -224 144 outb FLAG -288 672 0 FLAG -336 672 0 FLAG -464 704 0 FLAG -816 576 in FLAG -224 464 outa FLAG -496 1296 0 FLAG -848 1168 in FLAG -208 1152 out FLAG -336 1104 V+ FLAG -336 1200 V- FLAG -272 1392 0 FLAG -784 1280 V+ FLAG -672 1280 V- FLAG -784 1392 0 FLAG -672 1392 0 SYMBOL voltage -864 752 R0 SYMATTR InstName V1 SYMATTR Value ac 1 SYMBOL e -704 752 R0 WINDOW 3 -66 169 Left 2 SYMATTR Value Laplace=4/(1+s*sqrt(2)/(10k*2*pi)+s*s/(10k*2*pi)**2) SYMATTR InstName E1 SYMBOL e -288 224 R0 SYMATTR InstName E4 SYMATTR Value 4 SYMBOL res -784 272 R270 WINDOW 0 32 56 VTop 2 WINDOW 3 0 56 VBottom 2 SYMATTR InstName R1b SYMATTR Value 13.787762k SYMBOL res -592 272 R270 WINDOW 0 32 56 VTop 2 WINDOW 3 0 56 VBottom 2 SYMATTR InstName R2b SYMATTR Value 5.567145k SYMBOL cap -480 288 R0 SYMATTR InstName C2 SYMATTR Value 3.3n SYMBOL cap -656 160 R0 SYMATTR InstName C1 SYMATTR Value 1n SYMBOL e -288 544 R0 SYMATTR InstName E2 SYMATTR Value 4 SYMBOL res -784 592 R270 WINDOW 0 32 56 VTop 2 WINDOW 3 0 56 VBottom 2 SYMATTR InstName R1a SYMATTR Value 61.238598k SYMBOL res -592 592 R270 WINDOW 0 32 56 VTop 2 WINDOW 3 0 56 VBottom 2 SYMATTR InstName R2a SYMATTR Value 1.253433k SYMBOL cap -480 608 R0 SYMATTR InstName C2_ SYMATTR Value 3.3n SYMBOL cap -656 480 R0 SYMATTR InstName C1_ SYMATTR Value 1n SYMBOL cap -512 1200 R0 SYMATTR InstName C2o SYMATTR Value 3.3n SYMBOL cap -688 1072 R0 SYMATTR InstName C1o SYMATTR Value 1n SYMBOL Opamps\\UniversalOpamp2 -336 1152 R0 SYMATTR InstName U1 SYMBOL Misc\\EuropeanResistor -288 1168 R0 SYMATTR InstName R4 SYMATTR Value 3k SYMBOL Misc\\EuropeanResistor -288 1392 M180 WINDOW 0 31 76 Left 2 WINDOW 3 31 40 Left 2 SYMATTR InstName R3 SYMATTR Value 1k SYMBOL Misc\\EuropeanResistor -816 1184 R270 WINDOW 0 27 56 VTop 2 WINDOW 3 5 56 VBottom 2 SYMATTR InstName R1o SYMATTR Value 13.787762k SYMBOL Misc\\EuropeanResistor -624 1184 R270 WINDOW 0 27 56 VTop 2 WINDOW 3 5 56 VBottom 2 SYMATTR InstName R2o SYMATTR Value 5.567145k SYMBOL voltage -784 1280 R0 SYMATTR InstName V2 SYMATTR Value 5 SYMBOL voltage -672 1280 R0 SYMATTR InstName V3 SYMATTR Value -5 TEXT -864 40 Left 2 !.ac dec 100 10 100k TEXT -136 152 Left 2 ;F(s)=1/(1+s/(wp*Qp)+s^2/(wp)^2\n \nButterworth: Qp=1/sqrt(2)\n \nEquation for R1: \nR1^2+a*R1+b = 0\na=-1/((C2-(v-1)*C1)*wp*Qp) \nb=1/(wp*wp*C1*(C2-(v-1)*C1))\n \n \nExample: fg=wp=1Hz\nScilab code:\nC1=0.1; C2=0.33; Qp=1/sqrt(2), v=4; wp=2*%pi*1;\na=-1/((C2-(v-1)*C1)*wp*Qp);\nb=1/(wp*wp*C1*(C2-(v-1)*C1));\nR1a=-a/2+sqrt((a/2)^2-b)\nR1b=-a/2-sqrt((a/2)^2-b)\nR2a=1/(wp*wp*R1a*C1*C2)\nR2b=1/(wp*wp*R1b*C1*C2) TEXT -848 112 Left 2 ;fg=10kHz TEXT -560 56 Left 4 ;Butterworth Filter 10kHz TEXT -880 1024 Left 2 ;fg=10kHz