The reactance of a coil when used in the domestic $ac$ power supply $(220\, V, 50\, Hz)$ is $100\, \Omega$. The self-inductance of the coil is nearly........$H$.

As shown in the figure,an inductor of inductance $L = 200 \, mH$ is connected to an $AC$ source of emf $220 \, V$ and frequency $f = 50 \, Hz$. The peak value of current is given by $\frac{\sqrt{a}}{\pi} \, A$. The value of $a$ is..........

The reactance of a capacitor is $X_{C}$. If the frequency and the capacitance are doubled,then the new reactance will be

In a choke coil,the reactance $X_L$ and resistance $R$ are such that

An alternating voltage $v(t) = 220 \sin(100 \pi t) \text{ V}$ is applied to a purely resistive load of $50 \, \Omega$. The time taken for the current to rise from zero to half of its peak value is ..... $ms$.

$A$ sinusoidal voltage $V(t) = 100 \sin(500t)$ is applied across a pure inductance of $L = 0.02 \, H$. The current through the coil is: