$LC$-oscillations are similar and analogous to the mechanical oscillations of a block attached to a spring. The electrical equivalent of the force constant of the spring is

$A$ 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?

The natural frequency of an $LC$ circuit is $120 \ kHz$. When the capacitor in the circuit is totally filled with a dielectric material,the natural frequency of the circuit decreases by $20 \ kHz$. The dielectric constant of the material is:

$A$ $2\,\mu F$ capacitor is charged to $100\,V$. After disconnecting the battery,a $20\,mH$ coil is connected across the charged capacitor. The capacitor discharges through the inductor and the current in the circuit is oscillatory. Assuming the resistance of the coil is zero,the maximum current in the circuit is.....$A$

Consider the following circuit. By keeping $S_1$ closed,the capacitor is fully charged and then $S_1$ is opened and $S_2$ is closed,then

$A$ 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 $.........A$.