$A$ 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

In an $LC$ oscillator,if values of inductance and capacitance become twice and eight times,respectively,then the resonant frequency of the oscillator becomes $x$ times its initial resonant frequency $\omega_0$. The value of $x$ is:

For which two reasons is the discussion of $LC$ oscillations not realistic?

$A$ 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 $\text{ rad/s}$)?

$A$ capacitor of capacitance $2 \mu F$ is charged to a potential difference of $12 \, V$. It is then connected across an inductor of inductance $0.6 \, mH$. The current in the circuit when the potential difference across the capacitor is $6 \, V$ is :

$A$ $2 \mu F$ capacitor is charged to $50 V$ by a battery. The battery is removed after the capacitor is fully charged. At time $t=0$,a $10 mH$ coil is connected in series with the capacitor. The maximum rate at which the current changes in the circuit is (in $A s^{-1}$)