Op amp transfer function determination ()

android25ua · Dec 8, 2015

Hey guys, need help with a problem here.

Sorry for the quality of the image.

Op-amp circuit schematic with two voltage sources V1 and V2, resistors R1, R2, R3 and R4, capacitors C, and output Vout, with the transfer function T(ω) = Vout/(V1 - V2) written above.

I understand that above the op-amp, is the active low pass filter. So if I were to figure that out with respect to V2 and Vout, it would just be

Vout/Vs = -(Zf/Zs)

where

Zf = (Rf/(1+jwCfRf))
Zs = Rs

But I don't understand how the bottom setup comes into the equation. I realize it must also be a filter and should be solved wrt V1.

And I am asked to find the transfer function Vout/V1-V2.

All help would be greatly appreciated.

LvW · Dec 9, 2015

Because you have two input sources you can derive two different transfer functions (one inverting and the other one non-inverting).
And - as a second step - it should not be a problem to substract both functions Vout=Vout1-Vout2.

Op amp transfer function determination ()

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