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

If $L = 1.00 \, mH$ and $C = 1.00 \, nF$,find the resonant frequency in $rad/s$.

$A$ capacitor of capacitance $500\,\mu F$ is charged completely using a dc supply of $100\,V$. It is now connected to an inductor of inductance $50\,mH$ to form an $LC$ circuit. The maximum current in $LC$ circuit will be $.........A$.

In the circuit given below,the capacitor $C$ is charged by closing the switch $S_1$ and opening the switch $S_2$. After charging,the switch $S_1$ is opened and $S_2$ is closed. Find the maximum current in the circuit.

An $L-C$ circuit contains a $196 \text{ pF}$ capacitor and a $441 \text{ } \mu\text{H}$ inductor. The frequency of electromagnetic radiation emitted by an antenna coupled to the $L-C$ circuit is:

The switch is in position $A$ for a long time. At time $t=0$,it is shifted to position $B$. Find the maximum charge that will accumulate on the capacitor.