The ratio of the equivalent resistance of the network (shown in figure) between the points $a$ and $b$ when switch is open and switch is closed is $x : 8$ . The value of $x$ is

Question

The ratio of the equivalent resistance of the network (shown in figure) between the points a and b when switch is open and switch is closed is x : 8 . The value of x is

TestHub · Accepted Answer

When switch is closed R 1 = 2 R 3 + 2 R 3 = 4 R 3 When open R 2 = 3 R · 3 R 3 R + 3 R = 3 R 2 R 1 R 2 = 4 R 3 × 2 3 R = 8 9 = 8 x

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