Op-Amp Current Gain with current source

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Discussion Overview

The discussion revolves around a homework problem related to operational amplifiers (op-amps) and current gain, specifically focusing on the behavior of currents in a circuit involving a current source, resistors, and feedback mechanisms. The scope includes technical reasoning and mathematical analysis.

Discussion Character

  • Homework-related, Technical explanation, Mathematical reasoning

Main Points Raised

  • One participant expresses confusion regarding the application of Kirchhoff's Current Law (KCL) at a node above the current source, suggesting that all current should return to Rs without any current flowing from the current source to Rf.
  • Another participant points out that the current through Rf is generally expressed as (Vo-Vi)/Rf, indicating a standard approach to analyzing the circuit.
  • A participant highlights that there are two sources of current into Rs, but later corrects themselves, agreeing with another participant that no current flows into Rs.
  • One participant suggests that with negative feedback, the voltage at the negative node of the op-amp is zero, leading to the conclusion that no current can flow through Rs, and thus the current through Rf equals Is.
  • A later reply indicates that the problem has been solved, providing a gain formula G = -Rf/RL as a result.

Areas of Agreement / Disagreement

Participants express differing views on the flow of current in the circuit, particularly regarding the role of Rs and the current source. While some points are clarified, the discussion does not reach a consensus on all aspects of the problem.

Contextual Notes

There are unresolved assumptions regarding the ideal behavior of the op-amp and the specific configuration of the circuit, which may affect the analysis.

gfd43tg
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Homework Statement


Problem #6 on the attachment


Homework Equations





The Attempt at a Solution


I am stuck because if I do KCL at the node above the current source, It seems like all of the current should go back into Rs and none from the current source goes up to Rf
 

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Last edited:
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You forgot the attachment but I found it on another thread.

The current through Rf is typically written as (Vo-Vi)/Rf.
 
There are two sources of current into Rs, not just one!

EDIT: donpacino is right. No current into Rs.
 
Last edited:
you want iL/is

with negative feedback, the positive and negative nodes of the op-amp should equal each other. so the negative node=0V

since the voltage at the negative node is zero, with an ideal steady state op-amp no current can flow through Rs.

so the current through rf is Is.

Use that to get you started
 
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I have it solved, thank you!

I got G = -Rf/RL
 

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