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In a Wheatstone's bridge, there resistances P, Q and R connected in the three arms and the fourth arm is formed by two resistances S_1 and S_2…

JEE Main 2006 — Physics Electromagnetism

2006mcqeasy

In a Wheatstone's bridge, there resistances P,Q\mathrm{P}, \mathrm{Q}P,Q and R\mathrm{R}R connected in the three arms and the fourth arm is formed by two resistances S1\mathrm{S}_1S1​ and S2\mathrm{S}_2S2​ connected in parallel. The condition for bridge to be balanced will be

Official previous-year question

Held on 30 Apr 2006 · Verified 6 Jul 2026.

Options

  1. A

    PQ=RS1+S2\frac{\mathrm{P}}{\mathrm{Q}}=\frac{\mathrm{R}}{\mathrm{S}_1+\mathrm{S}_2}QP​=S1​+S2​R​

  2. B

    PQ=2RS1+S2\frac{\mathrm{P}}{\mathrm{Q}}=\frac{2 \mathrm{R}}{\mathrm{S}_1+\mathrm{S}_2}QP​=S1​+S2​2R​

  3. C

    PQ=R(S1+S2)S1 S2\frac{\mathrm{P}}{\mathrm{Q}}=\frac{\mathrm{R}\left(\mathrm{S}_1+\mathrm{S}_2\right)}{\mathrm{S}_1 \mathrm{~S}_2}QP​=S1​ S2​R(S1​+S2​)​

  4. D

    PQ=R(S1+S2)2 S1 S2\frac{\mathrm{P}}{\mathrm{Q}}=\frac{\mathrm{R}\left(\mathrm{S}_1+\mathrm{S}_2\right)}{2 \mathrm{~S}_1 \mathrm{~S}_2}QP​=2 S1​ S2​R(S1​+S2​)​

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