Question 150: AC fundamentals

Question

In an a.c. circuit, voltage and current are given by:
$$V=100 \sin (100 t) V$$ and
$$I=100 \sin \left(100 t+\frac{\pi}{3}\right) \mathrm{mA}$$ respectively.
The average power dissipated in one cycle is:

Accepted Answer

$$\begin{aligned}
& P_{	ext {avg }}=V_{	ext {rms }} I_{r m s} \cos (\Delta \phi) \
& =\frac{100}{\sqrt{2}} 	imes \frac{100 	imes 10^{-3}}{\sqrt{2}} 	imes \cos \left(\frac{\pi}{3}ight) \
& =\frac{10^4}{2} 	imes \frac{1}{2} 	imes 10^{-3} \
& =\frac{10}{4}=2.5 \mathrm{~W}
\end{aligned}$$

Answer

5 W

Answer

25 W

Answer

2.5 W

Answer

10 W

AC fundamentals

In an a.c. circuit, voltage and current are given by: $V=100 \sin (100 t) V and I=100 \sin \left(100 t+\frac{\pi}{3}\right) \mathrm{mA}$ respectively. The average power dissipated in one cycle is:

Choose the correct answer: