Alternating Current Question 12
Question 12 - 2024 (31 Jan Shift 2)
An AC voltage $V=20 \sin 200 \pi t$ is applied to a series LCR circuit which drives a current
$I=10 \sin \left(200 \pi t+\frac{\pi}{3}\right)$. The average power dissipated is:
(1) $21.6 W$
(2) $200 W$
(3) $173.2 W$
(4) $50 W$
Show Answer
Answer: (4)
Solution:
$<P\rangle=IV \cos \phi$
$=\frac{20}{\sqrt{2}} \times \frac{10}{\sqrt{2}} \times \cos 60^{\circ}$
$=50 W$
