Question 318: AC fundamentals

Question

An inductance of $\frac{300}{\pi} \mathrm{mH}$, a capacitance of $\frac{1}{\pi} \mathrm{mF}$ and a resistance of $20 \Omega$ are connected in series with an a.c. source of $240 \mathrm{~V}, 50 \mathrm{~Hz}$. The phase angle of the circuit is

Accepted Answer

$	an \phi=\frac{\mathrm{X}_{\mathrm{L}}-\mathrm{X}_{\mathrm{C}}}{\mathrm{R}}=\left(\frac{\omega \mathrm{L}-\frac{1}{\omega \mathrm{C}}}{\mathrm{R}}ight)$
$$\begin{aligned}
& =\frac{(2 	imes \pi 	imes 50) 	imes\left(\frac{300}{\pi} 	imes 10^{-3}ight)-\frac{1}{(2 	imes \pi 	imes 50) 	imes\left(\frac{1}{\pi} 	imes 10^{-3}ight)}}{20} \
& 	ext { i.e. } 	an \phi=1 \
& \phi=	an ^{-1}(1)
\end{aligned}$$

Answer

$	an ^{-1}(0)$

Answer

$	an ^{-1}\left(\frac{1}{\sqrt{3}}ight)$

Answer

$	an ^{-1}(1)$

Answer

$	an ^{-1}(\sqrt{3})$

AC fundamentals

An inductance of \frac{300}{\pi} \mathrm{mH}, a capacitance of \frac{1}{\pi} \mathrm{mF} and a resistance of 20 \Omega are connected in series with an a.c. source of 240 \mathrm{~V}, 50 \mathrm{~Hz}. The phase angle of the circuit is

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