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Q. In the circuit $P \ne R$,
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the reading of the galvanometer is same with switch $S$ open or closed. Then

Current Electricity

Solution:

This method is Kelvin's method of determining resistance of galvanometer by Wheatstone bridge circuit. Deflection in galvanometer $G$ is same with switch $S$ open or closed. It means that there is no current through $S$. This happens when the potentials at the two ends of $S$ are same.
This is the condition of balanced Wheatstone bridge.
$\therefore I_{P}=I_{Q}$ and $I_{R}=I_{G}$.