In a capacitive circuit,the reactance of a capacitor at frequency $f$ is $X_{C}$. What will be its reactance at frequency $4f$?

$A$ 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).

The equation of current in a purely inductive circuit is $i = 5 \sin (49 \pi t - 30^{\circ})$. If the inductance is $30 \, mH$,then the equation for the voltage across the inductor will be. (Let $\pi = \frac{22}{7}$)

$A$ $15.0 \mu\text{F}$ capacitor is connected to a $220 \text{ V}$,$50 \text{ Hz}$ source. The capacitive reactance of the circuit is . . . . . . $\Omega$.

An alternating voltage source $V = 260 \sin(628t)$ is connected across a pure inductor of $5\,mH$. Inductive reactance in the circuit is $......... \Omega$.

An alternating $e.m.f.$ of angular frequency $\omega$ is applied across an inductance. The instantaneous power developed in the circuit has an angular frequency