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

The reactance of a capacitor at $50 \ Hz$ is $5 \ \Omega$. If the frequency is increased to $100 \ Hz$,the new reactance is (in $\Omega$)

$A$ device $'X'$ is connected to an a.c. source. The variation of voltage,current,and power in one complete cycle is shown in the figure.
$(a)$ Which curve shows power consumption over a full cycle?
$(b)$ What is the average power consumption over a cycle?
$(c)$ Identify the device $'X'$.

In a pure inductive circuit or in an $ac$ circuit containing inductance only,the current

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

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 $\text{ mA}$)