Engineering Help with analyzing a Wheatstone Circuit using Node-Voltage Analysis

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To analyze the Wheatstone circuit using Node-Voltage Analysis, the goal is to determine the resistance R3 such that the voltage difference Vab equals zero, given Rth is 75Ω. The initial approach involves calculating the voltage at each node and establishing a system of equations based on known values. The discussion emphasizes the importance of writing node equations for Va and Vb as a starting point for the analysis. Participants suggest that showing an attempt at calculations is necessary for further assistance. Understanding these concepts is crucial for successfully solving the circuit problem.
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Homework Statement


Calculate the resistance of R3 so that Vab = Va - Vb = 0, assume Rth is 75Ω.

Here is a picture of the circuit: http://i.imgur.com/zsQBYJx.jpg

Homework Equations





The Attempt at a Solution


Never seen this circuit before, don't know where to begin. I assume I have to analyze the voltage at each node and set up a system of equations which can allow me to calculate R3 based off of the values that I already know, but I'm not sure how to begin. Thanks in advance for any hints.
 
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You need to show some attempt. Why not start by writing the node equations for Va and Vb?
 

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