$A$ $15.0 \mu\text{F}$ capacitor is connected to a $220 \text{ V}$,$50 \text{ Hz}$ source. The capacitive reactance of the circuit is . . . . . . $\Omega$.

What is the phase difference between voltage $V$ and current $I$ in an $AC$ circuit containing only a capacitor?

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 $\text{ mA}$)

Which of the following curves correctly represents the variation of capacitive reactance $X_C$ with frequency $f$?

If we decrease the frequency of the applied $A.C.$ with a purely capacitive load,do $(1)$ the amplitude of $V_c$ and $(2)$ amplitude of $I_c$ increase,decrease,or remain the same?

$A$ capacitor of $50 \mu F$ is connected to a power source $V = 220 \sin 50 t$ (where $V$ is in volt and $t$ is in second). Find the value of the $rms$ current (in ampere).