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COMEDK2023PhysicsAlternating Current

The instantaneous values of alternating current and voltages in a circuit given as aligned & i= 1 2 (100 t) amp , & e= 1 2 (100 t+ / 3) volt aligned The average power (in watts) consumed in the circuit is

Options

  1. A1 4
  2. B3 4
  3. C1 2
  4. D1 8

Correct answer

D. 1 8

Step-by-step solution

Given, i= 1 2 (100 t) amp and e= 1 2 (100 t+ / 3) volt i₀= 1 2 and e₀= 1 2 We know that, average power, aligned P_ av = & V_ rms i_ rms = 1 2 1 2 60^ & ( i_ rms =i₀ / 2 and V_ rms =V₀ / 2 ) = & 1 2 1 2 1 2 = 1 8 ~W aligned

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