An $AC$ source is connected to a capacitor $C$. Due to a decrease in its operating frequency:

An inductor of inductance $2 \, mH$ is connected to a $220 \, V, 50 \, Hz$ $AC$ source. Let the inductive reactance in the circuit be $X_1$. If a $220 \, V$ $DC$ source replaces the $AC$ source in the circuit,then the inductive reactance in the circuit is $X_2$. $X_1$ and $X_2$ respectively are:

The average power dissipated in a pure inductor of inductance $L$ when an $AC$ current is passing through it,is (Inductance of the coil $L$ and current $I$)

Determine the frequency for which a $10$ $\mu$$F$ capacitor has a reactance of $2 \times 10^{-3} \Omega$.

$A$ choke coil has

For a purely inductive or a purely capacitive circuit,the power factor is