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In a Wheatstone's network, P=2Omega, Q=2...

In a Wheatstone's network, `P=2Omega, Q=2Omega, R=2Omega and S=3Omega`. The resistance with which S is to be shunted in order that the bridge may be balanced is

A

`1Omega`

B

`2Omega`

C

`4Omega`

D

`6Omega`

Text Solution

Verified by Experts

The correct Answer is:
D
Let x be the resistance shunted with S for the bridge to be balanced.
For a balance Wheatstone's broidge

`(P)/(Q)=(R)/(S')or (2)/(2) =(2)/(S') or S'=2Omega`
From Figure `(1)/(S)=(1)/(S)+(1)/(x)or (1)/(2)=(1)/(3)+(1)/(x) or x=6Omega`
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