Derive expression for energy stored in an inductor.

Define peak value of an alternating current, average value for half-cycle, root-mean-square value of $\mathrm{AC}$ and obtain the relation.

${\mathrm{I}}_{\mathrm{rms}}=\frac{{\mathrm{I}}_0}{\sqrt{2}}$

The equation of an $\mathrm{AC}$  voltage is

$\mathrm{V}=100\sqrt{2} \sin \left(100 \mathrm{\pi } \mathrm{t}\right)$

Find the rms value and the frequency of the voltage.