Op-Amp Current Gain with current source

AI Thread Summary
The discussion centers on analyzing an op-amp circuit with a current source and the relationship between input and output currents. The user initially struggles with applying Kirchhoff's Current Law (KCL) at the node above the current source, mistakenly believing all current returns to Rs. Clarification reveals that with negative feedback, the voltage at the negative node is zero, resulting in no current flowing through Rs. Ultimately, the current through Rf is equal to Is, leading to the gain formula G = -Rf/RL. The conversation concludes with the problem being resolved successfully.
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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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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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