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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 $V_L = V_C$,which implies $L \left| \frac{di}{dt} \right| = \frac{q}{C}$.Rearranging this,we get $\left| \frac{di}{dt} \right| = \frac{q}{LC}$.To find the maximum value of $\left| \frac{di}{dt} \right|$,we must use the maximum value of charge $q$,which is given as $q_0$.Therefore,$\left| \frac{di}{dt} \right|_{\max} = \frac{q_0}{LC}$.

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

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