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The figure shows three circuits I , I I and I I I which are connected to a 3 V battery. If the powers dissipated by the configurations I , I I and I I I are P 1 , P 2 and P 3 respectively, then -

Options

  1. AP 2 > P 1 > P 3
  2. BP 1 > P 2 > P 3
  3. CP 3 > P 2 > P 1
  4. DP 1 > P 3 > P 2

Correct answer

A. P 2 > P 1 > P 3

Step-by-step solution

P = V 2 R P ∝ 1 R R e q for I circuit by balanced Wheatstone bridge R 1 = 1   Ω R e q       for circuit I I by parallel combination 1 R 2 = 1 2 +   1 2 + 1 1 R 2 = 1 2 R e q   for circuit I I I by parallel and series combination R 3 = 1 + 1 1 2 + 1 2 R 3 = 2 so, P 2 > P 1 > P 3 .

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