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(A) In an $LC$ circuit,the voltage across the inductor must equal the voltage across the capacitor at any instant.Using Kirchhoff's voltage law,we hav

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$\frac{{{q_0}}}{{LC}}$

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(A) In an $LC$ circuit,the voltage across the inductor must equal the voltage across the capacitor at any instant.Using Kirchhoff's voltage law,we have:$-L \frac{di}{dt} = \frac{q}{C}$Taking the magnitude on both sides:$\left| \frac{di}{dt} \right| = \frac{q}{LC}$To find the maximum value of $\left| \frac{di}{dt} \right|$,we must use the maximum value of the charge $q$,which is $q_0$.Therefore,${\left| \frac{di}{dt} \right|_{\max }} = \frac{{{q_0}}}{{LC}}$.

In an $LC$ circuit,the capacitor has maximum charge $q_0$. The value of ${\left| {\frac{{di}}{{dt}}} \right|_{\max }}$ is

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