How to find the Vout in terms of Vin for this circuit?

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SUMMARY

The discussion focuses on determining Vout in terms of Vin for a circuit with a sinusoidal voltage source Vs=5sin(10t)mV and an ideal op-amp. The user successfully calculates V(pi) and the current source but struggles with current flow analysis. A key insight provided is to apply Thevenin's theorem by transforming the controlled current source and the 3.3k resistor into a voltage source, simplifying the analysis of the circuit.

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Homework Statement


Finding Vout in terms of Vin
Vs=5sin(10t)mV
Assuming an ideal op-amp

Homework Equations


V=IR
Nodal Analysis

The Attempt at a Solution


I am able to caluclate V(pi) and therefore,the value of the current source. However, I am not sure how the current flows after that. Shouldn't the current from the current source get trapped in the first loop since the nodes at the upper right and to the bottom of the current source are at zero potential and therefore,Vout will always be 0?

Is there any current flow from the node below the current source to the ground to the left?
 

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All the ground symbols are effectively the same node, so imagine the circuit drawn this way:

Fig1.gif

Does that help you?

Another hint: Think about turning the controlled current source and 3.3k resistor into a voltage source (Thevenin).
 
It becomes a lot easier after the source transformation. Thanks!
 

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