$A$ $100 \mu F$ capacitor is connected to a $100 \text{ V}$, $50 \text{ Hz}$ $AC$ supply. The rms value of the current is (in $\text{ A}$)

An $A.C.$ source is connected across a pure inductor. Which one of the following figures shows the correct phase relation between the current and $e.m.f.$?

The capacitive reactance of a capacitor $C$ is $X \ \Omega$. Both the frequency of the $A.C.$ supply and the capacitance of the capacitor are doubled. The new capacitive reactance will be:

Capacitive reactance of a capacitor in an $AC$ circuit is $3 \ k\Omega$. If this capacitor is connected to a new $AC$ source of double frequency,the capacitive reactance will become:

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

In an $ac$ circuit,an alternating voltage $e=200 \sqrt{2} \sin 100 t$ volts is connected to a capacitor of capacitance $1 \; \mu F$. The rms value of the current in the circuit is ..... $mA$.