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In a Wheatstone's bridge, three resistan...

In a Wheatstone's bridge, three resistances P,Q and R connected in the three arms and the fourth arm is formed by two resistances `S_1 and S_2` connected in parallel. The condition for the bridge to be balanced will be

A

`P/Q = (R(S_1+S_2))/(2S_1S_2)`

B

`P/Q = (R/(S_1+S_2))`

C

`P/Q = (2R)/(S_1+S_2)`

D

`P/Q = (R(S_1+S_2))/(S_1S_2)`

Text Solution

Verified by Experts

The correct Answer is:
D
d. Using the condition for Wheatstone
bridge to be balanced, we get
`P/Q = R/((S_1S_2)/(S_1+S_2))`
or ` P/Q = (R(S_1+S_2))/(S_1S_2)`
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