Answer to Question #200369 in Electrical Engineering for Manaswi

Question #200369

Implement the following function using two op-amps and the required number of resistors

Vo = V1 - 2V2 + 3V3 - 4V4

1
Expert's answer
2021-05-31T06:18:33-0400


Applying the KCL at node 1

0V11KΩ02V21KΩ+0V011KΩ=0\frac{0-V_1}{1K\Omega}-\frac{0-2V_2}{1K\Omega}+\frac{0-V_{01}}{1K\Omega}=0

V01=V12V2V_{01}=-V_1-2V_2

Applying the KCL at node 2

0V11KΩ+03V31KΩ+04V41KΩ+0V01KΩ=0\frac{0-V_1}{1K\Omega}+\frac{0-3V_3}{1K\Omega}+\frac{0-4V_{4}}{1K\Omega}+\frac{0-V_{0}}{1K\Omega}=0

V013V34V4=V0-V_{01}-3V_3-4V_4=V_0

VO=[V12V2]3V34V4V_O=-[-V_1-2V_2]-3V_3-4V_4

VO=V1+2V23V34V4V_O=V_1+2V_2-3V_3-4V_4


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