When a pure resistor is connected to an $AC$ source,the phase difference between the voltage and the current through the resistor is (in $^{\circ}$)

Explain $AC$ voltage applied to a resistor and explain it with a necessary graph.

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

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

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

$A$ $15.0 \; \mu F$ capacitor is connected to a $220 \; V, 50 \; Hz$ source. Find the capacitive reactance and the current ($rms$ and peak) in the circuit. If the frequency is doubled,what happens to the capacitive reactance and the current?