Obtain the expression for the magnetic energy stored in an ideal inductor of self inductance L when a current I passes through it.
Hence obtain the expression for the energy density of magentic field produced in the inductor.

Explanation

To derive the expression for the magnetic energy stored in an ideal inductor of self-inductance \( L \) when a current \( I \) passes through it, we can follow these steps:

### Step 1: Understand the Concept of Inductance
Inductance \( L \) is a property of an inductor that quantifies its ability to store energy in a magnetic field when an electric current flows through it. The energy stored in the magnetic field of the inductor is related to the current flowing through it.

### Step 2: Relate Power to Work Done
The power \( P \) delivered to the inductor can be expressed as:
\[
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