Question 74: AC fundamentals

Question

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:

Accepted Answer

$$\begin{aligned}
& =\mathrm{IV} \cos \phi \
& =\frac{20}{\sqrt{2}} 	imes \frac{10}{\sqrt{2}} 	imes \cos 60^{\circ} \
& =50 \mathrm{~W}
\end{aligned}$$

Answer

21.6 W

Answer

200 W

Answer

173.2 W

Answer

50 W

AC fundamentals

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:

Choose the correct answer: