An $LC$ resonant circuit contains a $400 \, pF$ capacitor and a $100 \, \mu H$ inductor. It is set into oscillation coupled to an antenna. The wavelength of the radiated electromagnetic waves is

In an $LC$ circuit,the capacitor has maximum charge $q_0$. The value of ${\left| {\frac{{di}}{{dt}}} \right|_{\max }}$ is

An oscillator circuit consists of an inductance of $0.5 \, mH$ and a capacitor of $20 \, \mu F$. The resonant frequency of the circuit is nearly (in $Hz$)

$A$ capacitor of $1\,\mu F$ initially charged to $10\,V$ is connected across an ideal inductor of $0.1\,mH$. The maximum current in the circuit is.....$A$

In an oscillating $L-C$ circuit,the maximum charge on the capacitor is $Q$. What is the charge on the capacitor when the energy is stored equally between the electric and magnetic fields?

$A$ capacitor of capacity $20 \mu F$ is charged to a potential of $35 \text{ V}$. The battery is then disconnected. $A$ pure inductor coil of $200 \text{ mH}$ is connected across the capacitor so that $LC$ oscillations are set up. The maximum current in the coil is: (in $\text{ A}$)