When an $a.c.$ source is connected across a pure capacitor, the correct phase relation between current and $emf$ is:

An inductor is connected to an $AC$ source of frequency $50 \ Hz$. The frequency of the instantaneous power developed in the circuit is (in $Hz$)

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

$A$ capacitor of $50 \mu F$ is connected to a power source $V = 220 \sin 50 t$ (where $V$ is in volts and $t$ is in seconds). The value of the rms current (in amperes) is:

$A$ $40 \, \mu F$ capacitor is connected to a $200 \, V, 50 \, Hz$ $AC$ supply. The rms value of the current in the circuit is nearly $....... A$.

The average power dissipated in a pure inductor is