Question 300: AC fundamentals

Question

An inductance of 2 mH , a condenser of $20 \mu \mathrm{~F}$ and a resistance of $50 \Omega$ are connected in series to an a.c. source. The reactance of inductor and condenser are same. The reactance of either of them will be

Accepted Answer

$$\begin{aligned}
&	ext { Given }\
&\begin{aligned}
\omega \mathrm{L} & =\frac{1}{\omega \mathrm{C}} \
	herefore\quad\omega^2 & =\frac{1}{\mathrm{LC}} \
\omega & =\frac{1}{\sqrt{2 	imes 10^{-3} 	imes 20 	imes 10^{-6}}}=5 	imes 10^3 \
\mathrm{X}_{\mathrm{L}} & =\omega \mathrm{L} \
& =5 	imes 10^3 	imes 2 	imes 10^{-3} \
& =10 \Omega
\end{aligned}
\end{aligned}$$

Answer

$100 \Omega$

Answer

$50 \Omega$

Answer

$40 \Omega$

Answer

$10 \Omega$

AC fundamentals

An inductance of 2 mH , a condenser of 20 \mu \mathrm{~F} and a resistance of 50 \Omega are connected in series to an a.c. source. The reactance of inductor and condenser are same. The reactance of either of them will be

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