Transfer Function Help: Find Soln for Attached Image

AI Thread Summary
The discussion focuses on finding the transfer function for a specific circuit involving an op-amp, a capacitor, and a resistor. The user initially combines components to simplify the circuit and identifies the op-amp's voltage gain. They explore nodal analysis and the properties of op-amps, particularly the relationship between the input terminals. After some trial and error, the user expresses satisfaction with their progress and acknowledges the importance of patience and practice in solving the problem. The conversation highlights common challenges in circuit analysis and the collaborative nature of problem-solving in engineering.
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Homework Statement



I need help finding the transfer function for the attached image.

Homework Equations

The Attempt at a Solution



I combined the 1/6F cap and the 1 ohm resistor into a single impedence. I know the AV of the opamp is -0.5/(6s+1). After that I am stumped.

Is there a name of this specific circuit?
 

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Have you tried nodal analysis? Call node "a" the junction of the input 1Ω resistor and the capacitors, call node "b" the inverting input of the op-amp. The output of the op-amp can be Vo, while the circuit input signal is Vi. Remember the properties of an op-amp; there's a negative feedback loop, so what can you say about the voltage at the input terminals? How about the current?
 
Ok, I know I am on the right track. I have tried a couple things, but didn';t quite get it. I guess my problem is relating V- to V+. I want to think that V- = V+ = 0, but I don't think that's right. I know the answer (it is at the top of the sheet). Here is what I have so far now.
 

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I got it :) Thx anyhow! Little bit of patience and practice pays off
 

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