$A$ $\frac{50}{\pi} \mu F$ capacitor is connected to a $250 \, V, 50 \, Hz$ $AC$ supply. Then the rms current of the circuit is (in $ \, A$)

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 ..... $mA$.

For a purely inductive or a purely capacitive circuit,the power factor is

$A$ $50 \mu F$ capacitor is connected to a $110 V, 60 Hz$ $AC$ supply. Determine the rms value of the current in the circuit. (in $A$)

An alternating voltage $E = 200 \sqrt{2} \sin(100 t) \text{ V}$ is connected to a $1 \mu\text{F}$ capacitor through an $A.C.$ ammeter. The reading of the ammeter shall be: (in $\text{ mA}$)

The current flowing in a coil is $3 \text{ A}$ and the power consumed is $108 \text{ W}$. If the a.c. source is of $120 \text{ V}, 50 \text{ Hz}$,the resistance in the circuit is (in $\Omega$)