For high frequency,a capacitor offers

$A$ coil of inductance $L$ has an inductive reactance of $X_L$ in an $AC$ circuit in which the effective current is $I$. The coil is made from a superconducting material and has no resistance. The rate at which power is dissipated in the coil is

$A$ coil has an inductance of $2 \ H$. The ratio of its reactance when it is connected first to an $A.C.$ source and then to a $D.C.$ source is:

An alternating voltage $V(t) = 220 \sin(100 \pi t)$ volt is applied to a purely resistive load of $50 \ \Omega$. The time taken for the current to rise from half of the peak value to the peak value is: (in $ms$)

The frequency for which a $5 \mu F$ capacitor has a reactance of $\frac{1}{1000} \Omega$ is given by

An alternating $emf$ $E = 440 \sin(100 \pi t)$ is applied to a circuit containing an inductance of $\frac{\sqrt{2}}{\pi} \text{ H}$. If an $AC$ ammeter is connected in the circuit,its reading will be $....... \text{ A}$.