The reactance of a coil when used in the domestic $AC$ power supply $(220 \, V, 50 \, Hz)$ is $50 \, \Omega$. The inductance of the coil is nearly: (in $H$)

In an $AC$-circuit containing only capacitance,the current

$A$ $\frac{50}{\pi} \mu F$ capacitor is connected to a $250 \, V, 50 \, Hz$ $AC$ supply. Then the rms current of the circuit is (in $ \, A$)

The average power dissipation in a pure capacitance in an $AC$ circuit is

An alternating voltage given as $V = 100 \sqrt{2} \sin(100t) \text{ V}$ is applied to a capacitor of $1 \mu\text{F}$. The current reading of the ammeter will be equal to . . . . . . $\text{mA}$.

$A$ pure inductor of $50.0 \ mH$ is connected to a source of $220 \ V$. The frequency of the source is $50 \ Hz$. The rms current in the circuit (in $A$) will be $......$.