$A$ charged $30 \mu\text{F}$ capacitor is connected to a $27 \text{ mH}$ inductor. What is the angular frequency of free oscillations of the circuit (in $\text{ rad/s}$)?

$A$ resonant $AC$ circuit contains a capacitor of capacitance $10^{-6} \ F$ and an inductor of $10^{-4} \ H$. The frequency of electrical oscillations will be:

$A$ $2\,\mu F$ 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.....$A$

In an $LC$ circuit,the angular frequency at resonance is $\omega$. What is the new angular frequency when the inductance is made four times and the capacitance is made eight times its original value?

At a moment $t = 0$ when the charge on capacitor $C_1$ is zero,the switch $S$ is closed. If $I_0$ is the current through the inductor at that instant,then for $t > 0,$

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 $(q)$ is: