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:

In an oscillating $LC$ circuit,the total stored energy is $U$ and the maximum charge on the capacitor is $Q$. When the charge on the capacitor is $\frac{Q}{2}$,the energy stored in the inductor is:

$A$ 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:

Write the expression for the frequency of oscillation of an $LC$ circuit.

$A$ $2 \mu F$ 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 $A s^{-1}$)

Consider an $LC$ circuit,with inductance $L = 0.1 \ H$ and capacitance $C = 10^{-3} \ F$,kept on a plane. The area of the circuit is $1 \ m^2$. It is placed in a constant magnetic field of strength $B_0$ which is perpendicular to the plane of the circuit. At time $t = 0$,the magnetic field strength starts increasing linearly as $B = B_0 + \beta t$ with $\beta = 0.04 \ T \ s^{-1}$. The maximum magnitude of the current in the circuit is . . . . $mA$.