Average power associated with an ideal inductor and ideal capacitor over a complete cycle of $a.c.$ is respectively

$A$ 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?

Discuss the power in an $AC$ circuit containing only an inductor.

An $AC$ alternating $emf$ $E = 110 \sqrt{2} \sin(100t) \text{ V}$ is applied to a capacitor of $2 \mu F$. The $rms$ value of current in the circuit is $...... \text{ mA}$.

$A$ capacitor of $50 \mu F$ is connected to a power source $V = 220 \sin 50 t$ (where $V$ is in volt and $t$ is in second). Find the value of the $rms$ current (in ampere).

An alternating voltage $E = 200 \sqrt{2} \sin(100 t) \text{ V}$ is connected to a $1 \mu\text{F}$ capacitor through an $A.C.$ ammeter. The reading of the ammeter shall be: (in $\text{ mA}$)