The coil of inductance $0.25 mH$ has a reactance of $330 \Omega$,when connected to an a.c. source. The frequency of the a.c. source is (Take $\pi = \frac{22}{7}$) (in $kHz$)

Let $f = 50\, Hz$ and $C = 100\, \mu F$ in an $AC$ circuit containing a capacitor only. If the peak value of the current in the circuit is $1.57\, A$,the expression for the instantaneous voltage across the capacitor will be (assuming current is $I = I_m \sin(\omega t)$):

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

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 a purely resistive $ac$ circuit,the current

$A$ capacitor '$C$' is connected across a $DC$ source,the reactance of the capacitance will be . . . . . . .