In the circuit shown, the capacitor is initially charged with a 12V battery, when switch  S1 is open and switch S2 is closed. S1   is then closed and, at the same time, S2 is opened. The maximum value of current in the circuit is

# In the circuit shown, the capacitor is initially charged with a 12V battery, when switch  ${S}_{1}$ is open and switch ${S}_{2}$ is closed. ${S}_{1}$   is then closed and, at the same time, ${S}_{2}$ is opened. The maximum value of current in the circuit is 1. A

0.72mA

2. B

0.84mA

3. C

0.38mA

4. D

0.1mA.

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### Solution:

$\begin{array}{l}\frac{1}{2}L{i}^{2}=\frac{1}{2}C{v}^{2}\\ i=v\sqrt{\frac{C}{L}}=12\sqrt{\frac{9X{10}^{-12}}{2.5X{10}^{-3}}}=\frac{12X3}{5}\sqrt{{10}^{-8}}i=7.2X{10}^{-4}A\end{array}$

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