Question

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

Answer 1

Hint: First use the formula of the energy stored in the form of potential energy. Use the inductor storage energy in the magnetic field that is created when it carries the current.

Complete step by step answer:
In this question we have proven that, how does the magnetic energy resemble the electrostatic energy stored in a capacitor. Store energy in the capacitor is the electrostatic potential energy and it is related to the charge $Q$ and the voltage $V$ between the capacitor plates. As the capacitor is being charged, the electrical field starts to build up. And when the charge capacitor is disconnected from the battery its energy remains in the space between the plates.
To show insight into how this energy can be expressed in the term of $Q$ and $V$.

Let us consider a charged empty, parallel plate capacitor the capacitor will be without a dielectric but with a vacuum between its plates. We know that Store energy in a capacitor is the amount of work done to transport charge from one plate to another plate.
We know that,

The energy store in the form of potential energy in the capacitor are given that,
$U = \dfrac{1}{2}C{V^2}$
And we also know that storing energy in the capacitor

We know that the relation between the inductor store in the magnetic field that created by its current,
$U = \dfrac{1}{2}L{I^2}$

Note:
The capacitor will be without a dielectric but with a vacuum between its plates. Use the correct formula of electric field. Magnetic energy will resemble the form of electrostatic energy in the capacitor.