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In the series $L-C-R$ circuit shown, the impedance is
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$500 \Omega$
$\begin{aligned} X_{L} &=2 \pi f L \\ &=2 \pi\left(\frac{50}{\pi}\right) \times 1=100 \Omega \\ X_{C} &=\frac{1}{2 \pi f C}=\frac{1}{2 \pi\left(\frac{50}{\pi}\right) 20 \times 10^{-6}}=500 \Omega \\ \text { Impedance, } Z &=\sqrt{R^{2}+\left(X_{C}-X_{L}\right)^{2}} \\ Z &=\sqrt{(300)^{2}-(400)^{2}}=500 \Omega \end{aligned}$
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