First slide

Power in a.c. circuit

Question

In series L-C-R circuit L = 10 mH, C = 10 μF, R = 20 $Ω$ is connected to AC source of V = 200sin $ω$ t. Find power at half power frequencies.

Moderate

A

500 W
B

2000 W
C

3000 W
D

4000 W

Solution

At half power frequency
Power = $\frac{P_{\max}}{2} = \frac{{(V_{r m s})}^{2}}{2 R} \frac{1}{2} x \frac{{(200 / \sqrt{2})}^{2}}{20} = 500 watt$

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