Dual op-amp output voltage as function of source

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Discussion Overview

The discussion revolves around determining the output voltage (Vo) of a dual op-amp circuit as a function of the source voltage (Vs). The participants explore various approaches to solve this problem, which is framed as a homework question involving circuit analysis.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant outlines a complex approach involving Kirchhoff's Current Law (KCL) to derive Vo as a function of Vs through multiple substitutions involving intermediate voltages (Vn1, Vn2, Vo1).
  • Another participant emphasizes the importance of considering the properties of op-amp circuits, particularly the relationship between input terminal potentials due to negative feedback.
  • A suggestion is made to start with the output stage to express Vo in terms of Vo1, followed by applying KCL at the Vn1 node.
  • A participant advises performing KCL at the negative nodes of each op-amp to facilitate solving the problem.
  • After following the guidance provided, one participant reports successfully solving the problem and acknowledges the oversight of not setting the input voltages to zero initially.
  • The output voltage expression derived is shared: Vo = Vs (Rf1*Rf2*Rf3)/(Rs1(Rs2*Rf3-Rf2*Rf1)).
  • Another participant expresses approval of the derived answer.

Areas of Agreement / Disagreement

Participants generally agree on the approach to solving the problem, with some variations in the methods suggested. However, the discussion does not reach a consensus on a single method or solution path, as different strategies are proposed and explored.

Contextual Notes

The discussion includes assumptions regarding the behavior of op-amps and the application of KCL, but these assumptions are not explicitly stated or universally accepted among participants.

Who May Find This Useful

Students and practitioners interested in circuit analysis, particularly those working with op-amp configurations and seeking to understand the relationships between input and output voltages in such circuits.

gfd43tg
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Homework Statement


Find Vo as a function of Vs


Homework Equations





The Attempt at a Solution


My thought process so far is to do KCL and find Vo as a function of Vn2, then Vn2 as a function of Vo1, then Vo1 and Vo as a function of Vn1, then Vn1 as a function of Vs, finally giving me Vo as a function of Vs. This seems extraordinarily difficult to do all those substitutions, but I see nothing else as of this moment
 

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Keep in mind the properties of op-amp circuits where negative feedback is provided. How are the potentials on the input terminals related?

I'd suggest beginning with the output stage and determine what Vo is in terms of Vo1. Then KCL at the Vn1 node.
 
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do a kcl at all non driven and non ground nodes.
in other words, do a kcl at the negative nodes of each op-amp.
then solve for the answer
 
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Alright following your collected guidance, my friend and I solved it and got the same answer. Thank you! I did not set the voltage at the inputs to zero, no wonder it was so complicated.
 
What was your answer?
 
Vo = Vs (Rf1*Rf2*Rf3)/(Rs1(Rs2*Rf3-Rf2*Rf1))
 
Your answer looks good
 

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