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Q.

In a wheat stones bridge , three resistance P, Q and R are connected in three arms and the fourth arm is formed by two resistances S1 and S2 connected in parallel. The condition for the bridge to be balanced will be

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a

PQ=RS1+S2S1S2

b

PQ=RS1+S22S1S2

c

PQ=RS1+S2

d

PQ=2RS1+S2

answer is A.

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Detailed Solution

The effective resistance in fourth arm is given byReff=S1S2/S1+S2Now, equate the ratios of resistancesPQ=RS1S2/S1+S2 PQ=RS1+S2S1S2
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In a wheat stones bridge , three resistance P, Q and R are connected in three arms and the fourth arm is formed by two resistances S1 and S2 connected in parallel. The condition for the bridge to be balanced will be