An inductor is connected to an $AC$ source of frequency $50 \ Hz$. The frequency of the instantaneous power developed in the circuit is (in $Hz$)

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

$A$ capacitor of $50 \mu F$ is connected to an a.c. source $e = 220 \sin(50t)$ (where $e$ is in volts and $t$ is in seconds). The value of the peak current is:

Given below are two statements:
Statement-$I$: In an $AC$ circuit,the current through a capacitor leads the voltage across it.
Statement-$II$: In $AC$ circuits containing pure capacitance only,the phase difference between the current and the voltage is $\pi$.
In the light of the above statements,choose the most appropriate answer from the options given below:

In $AC$ circuits,a choke coil is preferred over resistors because:

When an a.c. source is connected across a pure resistor,the correct phase relation between current $(i_R)$ and voltage $(e_R)$ is shown in which figure?