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Three resistances P, Q, R each of 2 12 a...

Three resistances P, Q, R each of 2 12 and an unknown resistance S form the four arms of a Wheatstone bridge circuit. When a resistance of 6`Omega` is connected in parallel to S, the bridge gets balanced. What is the value of S?

A

`3Omega`

B

`6Omega`

C

`1Omega`

D

`2Omega`

Text Solution

Verified by Experts

The correct Answer is:
A
As P=Q=R=2`Omega` , hence for balance resistance of 4th arm of bridge should also be 2`Omega` .
` therefore ` Resultant resistance of parallel combination of `S Omega` and 6 `Omega`is `2Omega i.e., 1/2 = 1/S + 1/6 rArr S = 3 Omega`
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