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

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To find Vout in terms of Vin for the given circuit with Vs=5sin(10t)mV and an ideal op-amp, the discussion focuses on calculating V(pi) and understanding current flow. There is confusion about whether the current from the current source gets trapped in the first loop due to node potentials being at zero, leading to the question of current flow to ground. The suggestion is made to consider transforming the controlled current source and the 3.3k resistor into a voltage source using Thevenin's theorem to simplify the analysis. This transformation is expected to clarify the current flow and make it easier to determine Vout. Overall, the circuit analysis hinges on understanding node potentials and employing source transformations for clarity.
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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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