An oscillating LC circuit consists of a 75 mH inductor and a capacitor. If the maximum charge to the capacitor is , the maximum current in the circuit will be ______ mA. [2023]

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Solution

Q.
An oscillating LC circuit consists of a 75 mH inductor and a $1.2 μ F$ capacitor. If the maximum charge to the capacitor is $2.7 μ C$ , the maximum current in the circuit will be ______ mA. [2023]

Ans.
(9)

Maximum energy stored in capacitor is same as maximum energy stored in inductor.

$\frac{1}{2} L i_{\max}^{2} = \frac{1}{2} \frac{Q_{\max}^{2}}{C}$

$i_{\max} = \sqrt{\frac{1}{L C}} Q_{\max}$

$= \frac{2.7 \times 10^{- 6}}{\sqrt{75 \times 10^{- 3} \times 1.2 \times 10^{- 6}}} = 9 mA$

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