For high frequency,a capacitor offers

An $AC$ supply gives $30 \ V$ $rms$ which passes through a $10 \ \Omega$ resistance. The power dissipated in it is ...... $W$.

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:

Explain why the reactance offered by an inductor increases with increasing frequency of an alternating voltage.

$A$ 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:

In a pure inductive circuit, the curve between frequency $f$ and the reciprocal of inductive reactance $1/X_L$ is: