Question 45: AC fundamentals

Question

An alternating voltage = 200 $$\sin 100t$$ is applied to a series combination of $$R=30\Omega$$ and an inductor of 400 mH. The power factor of the circuit is,

Accepted Answer

As we know,
$$\begin{aligned}
& 	ext { power factor }=\frac{R}{Z} \
& \qquad \begin{aligned}
& =\frac{R}{\sqrt{R^2+\omega L^2}} \
	ext { Given } \omega & =100, L=400 \mathrm{mH} \
& =\frac{30}{\sqrt{(30)^2+\left(100 	imes 400 	imes 10^{-3}ight)^2}} \
& =\frac{30}{\sqrt{900+160000 	imes 10^{-3 	imes 2}}} \
& =\frac{30}{50}=0.6
\end{aligned}
\end{aligned}$$

Answer

0.01

Answer

0.6

Answer

0.05

Answer

0.042

AC fundamentals

An alternating voltage = 200 $\sin 100t is applied to a series combination of R=30\Omega$ and an inductor of 400 mH. The power factor of the circuit is,

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