Transfer Function Help: Find Soln for Attached Image

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Discussion Overview

The discussion revolves around finding the transfer function for a specific circuit depicted in an attached image. Participants explore methods for analyzing the circuit, particularly focusing on the use of nodal analysis and the properties of operational amplifiers.

Discussion Character

  • Homework-related, Technical explanation, Exploratory

Main Points Raised

  • One participant expresses difficulty in finding the transfer function after combining components and identifying the gain of the op-amp.
  • Another participant suggests using nodal analysis and provides a framework for labeling nodes and understanding the circuit's behavior, emphasizing the importance of the negative feedback loop in op-amps.
  • A participant acknowledges being on the right track but struggles with relating the voltages at the inverting and non-inverting inputs of the op-amp, questioning the assumption that both are equal to zero.
  • A later reply indicates that the initial participant successfully solved the problem, attributing their success to patience and practice.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach to analyze the circuit, as different methods are suggested and explored without definitive resolution.

Contextual Notes

Some assumptions regarding the circuit's behavior and the properties of the op-amp are not fully resolved, particularly concerning the relationship between V- and V+.

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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?
 

Attachments

  • 20111123_223420.jpg
    20111123_223420.jpg
    24.1 KB · Views: 521
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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.
 

Attachments

  • 20111124_215616.jpg
    20111124_215616.jpg
    21.7 KB · Views: 479
I got it :) Thx anyhow! Little bit of patience and practice pays off
 

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