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MHT CET 2021 (22 Sep, Shift 1) · Wheatstone Bridge & Metre Bridge

Wheatstone Bridge & Metre Bridge question from MHT CET 2021 (22 Sep, Shift 1)

Q55MHT CET 2021 · 22 SEP · SHIFT 1Medium

Wheatstone Bridge & Metre Bridge

In a wheatstone's bridge, three resistances P,Q\mathrm{P, Q} and R\mathrm{R} are connected in the three arms and the fourth arm is formed by two resistances S1S_1 and S2S_2 connected in parallel. The condition for the bridge to be balanced is

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Answer: (c)

  1. Fourth arm: S=S1S2S1+S2S = \dfrac{S_1 S_2}{S_1 + S_2}
  2. Balance: PQ=RS=R(S1+S2)S1S2\dfrac{P}{Q} = \dfrac{R}{S} = \dfrac{R(S_1+S_2)}{S_1 S_2}
  3. So the answer is (c).
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