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MHT CET Medical202623 April 2026Morning ShiftPhysicsAlternating CurrentActual

In the LCR series circuit, an alternating e.m.f. e and current i are given by the equation e = 100 (100t) ,V and i = 100 (100t + 3 )mA . The average power dissipated in the circuit will be ( /3) = 3^ 0.5 /2, ( /3) = 1/2

Options

  1. A7 W
  2. B3.5 W
  3. C5 W
  4. D2.5 W

Correct answer

D. 2.5 W

Step-by-step solution

The given equations for alternating e.m.f. and current are: e = 100 (100t) V i = 100 (100t + 3 ) mA From the equations, the peak voltage E₀ = 100 V, the peak current I₀ = 100 mA = 0.1 A, and the phase difference = 3 . The average power dissipated in an AC circuit is given by: P_ avg = E_ rms I_ rms = E₀ I₀ 2 Substituting the given values: P_ avg = 100 0.1 2 ( 3 ) P_ avg = 10 2 1 2 = 2.5 W Answer: 2.5 W

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