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Impedance Triangle

An L-C circ...

Question

An $L - C$ circuit consists of a $20.0 m H$ inductor and a $0.5 μ F$ capacitor. If the maximum instantaneous current is $0.1 A$ , what is the greatest potential difference (in volts) across the capacitor?

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Solution

$\frac{1}{2} L i_{m a x}^{2} = \frac{1}{2} C v_{m a x}^{2}$
$∴ V_{m a x} = (\sqrt{\frac{L}{C}}) i_{m a x} = (\sqrt{\frac{20 \times 10^{- 3}}{0.5 \times 10^{- 6}}}) (0.1)$
$= 20 V$

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