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CUET · PHYSICS · PYQ PAPER 2025

Three resistors, each of resistance R, are arranged in the following different combinations with a source of emf E. Arrange them in the decreasing order of power dissipation:
(A) Three resistors in series
(B) Three resistors in parallel
(C) One resistor in series with two resistors in parallel
(D) One resistor in parallel with two resistors in series
Choose the correct answer from the options given below:

  1. A (D), (B), (A), (C)
  2. B (B), (D), (C), (A)
  3. C (A), (C), (D), (B)
  4. D (B), (C), (D), (A)
Verified Solution

Answer & Solution

Correct Answer

(B) (B), (D), (C), (A)

Step-by-step Solution

Detailed explanation

\(R_{eq,A} = R+R+R = 3R\) \(P_A = E^2 / (3R)\) \(R_{eq,B} = 1/(1/R+1/R+1/R) = R/3\) \(P_B = E^2 / (R/3) = 3E^2 / R\) \(R_{eq,C} = R + (R \cdot R)/(R+R) = R + R/2 = 3R/2\) \(P_C = E^2 / (3R/2) = 2E^2 / (3R)\) \(R_{eq,D} = (R \cdot (R+R))/(R+(R+R)) = (R \cdot 2R)/(3R) = 2R/3\)…
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