$A$ capacitor '$C$' is connected across a $DC$ source,the reactance of the capacitance will be . . . . . . .

In a capacitive circuit,the reactance of a capacitor at frequency $f$ is $X_{C}$. What will be its reactance at frequency $4f$?

$(i)$ What is the angle between the phasor of $V_R$ and $I$?
$(ii)$ The voltage phasor $V_C$ is ...... of the current phasor $I$. (Fill in the blank)

Obtain the formula for current when an $AC$ voltage is applied to a capacitor and draw the graphs of $V$ and $I$ versus $\omega t$.

$A$ $10 \mu F$ capacitor is connected to a $210 \text{ V}, 50 \text{ Hz}$ source as shown in the figure. The peak current in the circuit is nearly $(\pi = 3.14)$ : (in $\text{ A}$)

When an inductor is connected to an $AC$ source of frequency $\omega$,what is the frequency of the instantaneous power?