A fully charged capacitor $C$ with initial charge $q_0$ is connected to a coil of self inductance $L$ at $t = 0$ . The time at which the energy is stored equally between the electric and the magnetic fields is

A lamp is connected in series with a capacitor. Predict your observations for dc and ac connections. What happens in each case if the capacitance of the capacitor is reduced?

Obtain an equation of current for $AC$ voltage applied to an inductor and draw a graph of $V$ and $I$.

An inductance coil has a reactance of $100\, \Omega$. When an $AC$ signal of frequency $1000\, Hz$ is applied to the coil, the applied voltage leads the current by $45^{\circ}$. The self- inductance of the coil is

An $LC$ circuit contains a  $20\,\,mH$  inductor and a $50\,\,\mu F$ capacitor with an initial charge of  $10 \,\,mC.$ The resistance of the circuit is negligible. Let the instant the circuit is closed be $t = 0.$  At what time is the energy stored completely magnetic $t=$ ………. $m/s$