$A$ capacitor of capacity $C$ is charged to a potential $V$. It is connected in parallel to an inductor of inductance $L$. The maximum current that will flow in the circuit is

$A$ capacitor of capacity $C$ is charged to a potential difference of $V_1$. The plates of the capacitor are then connected to an ideal inductor of inductance $L$. The current through the inductor when the potential difference across the capacitor reduces to $V_2$ is

In an oscillating $LC$ circuit, the maximum charge on the capacitor is $Q$. When the energy is stored equally between the electric and magnetic fields, the charge on the capacitor becomes

The natural frequency of an $L-C$ circuit is $125 \ kHz$. When the capacitor is totally filled with a dielectric material,the natural frequency decreases by $25 \ kHz$. The dielectric constant of the material is nearly

$A$ charged $30\; \mu F$ capacitor is connected to a $27\; mH$ inductor. The initial charge on the capacitor is $6\; mC$. What is the total energy stored in the circuit initially? What is the total energy at a later time?

$A$ charged $30\; \mu F$ capacitor is connected to a $27\; mH$ inductor. What is the angular frequency of free oscillations of the circuit?