An AC voltage V = 20 sin 200 is applied to a series LCR circuit which drives a current . The average power dissipated is

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Solution

Q.
An AC voltage V = 20 sin 200 $π t$ is applied to a series LCR circuit which drives a current $I = 10 \sin (200 π t + \frac{π}{3})$ . The average power dissipated is [2024]

1 21.6 W

2 200 W

3 173.2 W

4 50 W

Ans.
(4)

$< P > = I_{rms}$ $V_{rms} \cos ϕ$

$= \frac{20}{\sqrt{2}} \times \frac{10}{\sqrt{2}} \times \cos 60 ° = 50 W$

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