If the capacitance of a pure capacitor in a $DC$ circuit is $1 \ F$,then what will be its capacitive reactance?

Let $f = 50\, Hz$ and $C = 100\, \mu F$ in an $AC$ circuit containing a capacitor only. If the peak value of the current in the circuit is $1.57\, A$,the expression for the instantaneous voltage across the capacitor will be (assuming current is $I = I_m \sin(\omega t)$):

$A$ coil has inductance $L$. The ratio of its reactance when it is connected first to an $A.C.$ source and then to a $D.C.$ source is

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

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?

$A$ $10 \mu F$ 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 $\text{ A}$)