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In the resistor network shown in Figure, all resistor values are 1Ω. A current of 1A passes from terminal a to terminal b, as shown in the figure. Calculate the voltage between terminals a and b. [Hint: You may exploit the symmetry of the circuit].

Since all resistor are equal, so both Wheatstone bridges are balanced and both the diagonal resistors are neglected as shown below,

Applying delta to star conversion in upper triangle




The circuit can then further be simplified as shown below,





So, 

This method is wrong as whitestone bridge Is not balance because we must used equivalent resistance while checking balancing.
Correct method

Given circuit can be redrawn as

Covert Delta (a12) to star & delta (b34) to star


Again convert Delta to star






