In the circuit shown, if a conducting wire is connected between points A and B, the current in the wire will :-

flow from A to B

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flow in the direction which will be decided by the value of V

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be zero

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flow from B to A

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Solution

The correct option is D flow from B to A
As the bridge is not balance so the current will through wire.
The current through arm PAQ is $I_{1} = V / (4 + 4) = V / 8$
The current through arm PBQ is $I_{2} = V / (1 + 3) = V / 4$
Thus, $V_{A} - V_{Q} = 4 I_{1}$ or $V_{A} - 0 = 4 (V / 8)$ (as Q is connected in ground )
or $V_{A} = V / 2$
$V_{B} - V_{Q} = 3 I_{2}$ or $V_{B} - 0 = 3 (V / 4)$ (as Q is connected in ground )
or $V_{B} = 3 V / 4$
since $V_{B} > V_{A}$ so current flow from B to A.

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