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JEE Main202313 Apr 2023Morning ShiftPhysicsCurrent ElectricityActual

Different combination of 3 resistors of equal resistance R are shown in the figures. The increasing order for power dissipation is: (A) (B) (C) (D)

Options

  1. AP B < P C < P D < P A
  2. BP C < P D < P A < P B
  3. CP C < P B < P A < P D
  4. DP A < P B < P C < P D

Correct answer

C. P C < P B < P A < P D

Step-by-step solution

The resistances can be calculated as R A = R + R 2 = 3 R 2 For second circuit 1 R B = 1 2 R + 1 R = 3 2 R ⇒ R B = 2 R 3 For third circuit R C = R 3 For fourth circuit R D = 3 R The formula for power is given by P = I 2 R . Clearly, P D > P A > P B > P C  

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