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Question

In the given circuit a metre bridge is shown in the balanced state. The metre bridge wire has a resistance of 1Ω cm1. calculate the unknown resistance X and the current drawn from the is the battery of a negligible internal resistance if the magnitude of y is 6Ω . If at the balancing point. we interchange the position of the galvanometer and the cell, how it will affect the position of the galvanometer.
1199892_d753d84475bc4e9397108ca1eb308911.png

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Solution

At balanced state
XY=4060=23X=23Y23?6
X=4Ω
4Ω and 6Ω are in series, the equivalent resistance is given by
Rrq=4Ω+6Ω=10Ω
4Ω and 6Ω are in series Req=10Ω
Resistance of bridge wire=1 ohm/cm x 100cm=100Ω
10Ω and 100Ω are in parallel=1000/110Ω=0.09Ω Current =69.09
There will be no change in the balancing length if we interchange position of galvanometer and cell.
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