Question

How does the magnetic energy resembles with the electrostatic energy stored in a capacitor?

Answer 1

The energy stored in the form of potential energy in the capacitor is given as

$U=\frac{1}{2}C{V}^2$

Storing energy in a capacitor is amount of work done is transporting charge from one plate to the other.

The inductor stores energy in the magnetic field that is created by it when it carries current. The relation is given as

$U=\frac{1}{2}L{I}^2$

The energy in the inductor remains stored as long as the current keeps on flowing through it.