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
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