The equivalent resistance between A a n d B of the network shown in figure:

Step-by-step solution

The given circuit can be redrawn as shown below: Since the circuit is in balanced wheatstone configuration, R 2 R = 3 R 6 R . The 9   Ω resistor can be omitted. Now, the circuit has two branches having two resistors connected in series. Therefore, the resistance of upper branch is R + 3 R = 4 R and lower branch is 2 R + 6 R = 8 R . The equivalent resistance will therefore be: R e q = 4 R 8 R 4 R + 8 R = 32 R 2 12 R = 8 3 R