Design an opamp circuit with this transfer function on 3 voltage inputs

AI Thread Summary
A circuit is needed to operate on three voltage inputs, utilizing a voltage summer and an integrator for the third term. The calculations for capacitance resulted in a negative value, raising questions about its feasibility. It was clarified that the negative sign arises from the Miller integrator inverting the signal, suggesting a need for an additional inversion to correct this. The discussion also confirmed that this inquiry is related to homework. The thread was subsequently moved to the schoolwork forums for further assistance.
DaniilMP3
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TL;DR Summary: Build a circuit of given operation on voltages

I'll appreciate any help.
I need to create circuit of this operation on three voltages:
CodeCogsEqn (1).png

We'll use circuit of voltages summer:
Screenshot_2.png


The third term is the integral of U_3, so we'll use integrator:
Screenshot_3.png


Than, calculate capacitance:
CodeCogsEqn (4).png

And on this step we have negative capacitance. Is it possible? Or I did something wrong?
Next, we calculate R_1, R_2.
Screenshot_4.png

And here we have -44 kilo Ohm for R_2.
 
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Welcome to PF.

Is this homework?

The negative sign comes from the simple op-amp based Miller integrator inverts the signal. If you want to cancel the negative sign, you will need to invert the signal in that branch, before or after the integration.
 
Hi, yes. This is homework. Thank you for your response.
 
Last edited:
DaniilMP3 said:
Hi, yes. This is homework.
(Thread moved to the schoolwork forums)
 
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