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 ​ = 3 2 R ​ + 3 2 R ​ = 3 4 R ​ When open R 2 ​ = 3 R + 3 R 3 R ⋅ 3 R ​ = 2 3 R ​ R 2 ​ R 1 ​ ​ = 3 4 R ​ × 3 R 2 ​ = 9 8 ​ = x 8 ​

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