Analysis with Opamps: Find Gain & Solve for Unknowns

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SUMMARY

The discussion centers on calculating the gain of an operational amplifier (op-amp) circuit, specifically using the formula Gain = Vo/Vs. The original poster (OP) attempted to derive the gain but ended up with five equations and five unknowns, leading to an incorrect conclusion of Vs = 0V. An expert pointed out that if the op-amp is assumed to be ideal, the output voltage (Vout) would theoretically approach infinity when connected to an ideal voltage source. The key takeaway is the importance of accurately copying the circuit and connections at the op-amp's inputs.

PREREQUISITES
  • Understanding of operational amplifier (op-amp) fundamentals
  • Familiarity with circuit analysis techniques, including nodal analysis
  • Knowledge of ideal vs. non-ideal op-amp characteristics
  • Proficiency in using voltage and current equations in circuit analysis
NEXT STEPS
  • Review op-amp circuit configurations and their gain calculations
  • Study nodal analysis techniques for solving circuits with multiple unknowns
  • Learn about the implications of ideal vs. non-ideal op-amps on circuit behavior
  • Explore common mistakes in circuit analysis and how to avoid them
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing or designing op-amp circuits will benefit from this discussion.

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Homework Statement


upload_2017-1-23_19-21-4.png

I need to find the gain.

Homework Equations

The Attempt at a Solution


I know gain will be Vo/Vs. I originally tried to write different equations for each node, but I ended up with 5 eqns and 5 unknowns, and in the end it gave that vs=0V. Can someone give me an idea of what the first step(s) would be? Thanks.
 
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This thread will be deleted shortly, because you have shown insufficient working to demonstrate your reasonable attempt.

However, I'll make the observation that something is amiss. If we assume the OP-AMP to be ideal, with gain approaching infinity, then with its input connected to an ideal voltage source as shown here, we have Vout = ∞.

You need to check that you have correctly copied the circuit and connections at each of the OP-AMP's inputs.
 

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