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A series LCR circuit is subjected to an ac signal of $200 \mathrm{~V}, 50 \mathrm{~Hz}$. If the voltage across the inductor $(\mathrm{L}=10 \mathrm{mH})$ is $31.4 \mathrm{~V}$, then the current in this circuit is _____ .
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$10 \mathrm{~A}$
$\begin{aligned} & \text { Voltage across inductor } \mathrm{V}_{\mathrm{L}}=\mathrm{IX}_{\mathrm{L}} \\ & 31.4=\mathrm{I}[\mathrm{L} \omega] \\ & 31.4=\mathrm{I}[\mathrm{L}(2 \pi \mathrm{f})] \\ & 31.4=\mathrm{I}\left[10 \times 10^{-3}(2 \times 3.14) \times 50\right. \\ & \Rightarrow \mathrm{I}=10 \mathrm{~A}\end{aligned}$
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