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COMEDK20269 May 2026Evening ShiftPhysicsAlternating CurrentActual

In a given circuit, the instantaneous values of the alternating voltage and current are V = 0.5 (80 t + 3 ) volt and I = 0.5 (80 t) ampere respectively. Find the average power consumed in that circuit.

Options

  1. A0.625 W
  2. B1.25 W
  3. C0.0625 W
  4. D0.125 W

Correct answer

C. 0.0625 W

Step-by-step solution

Given instantaneous voltage V = 0.5 (80 t + 3 ) V Given instantaneous current I = 0.5 (80 t) A Peak voltage V₀ = 0.5 V Peak current I₀ = 0.5 A Phase difference = 3 Average power consumed in the circuit is given by P_ avg = V_ rms I_ rms = V₀ I₀ 2 Substituting the values: P_ avg = 0.5 0.5 2 ( 3 ) P_ avg = 0.25 2 1 2 = 0.25 4 = 0.0625 W Answer: 0.0625 W

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