Show that average energy density of electromagnetic radiation can be written as `epsi_0 E_( rms ) ^(2)` .

Explanation

To show that the average energy density of electromagnetic radiation can be expressed as \( \epsilon_0 E_{\text{rms}}^2 \), we will follow these steps:

### Step 1: Understand the total energy density of electromagnetic radiation
The total energy density \( u \) of electromagnetic radiation is given by the formula:
\[ u = \frac{1}{2} \epsilon_0 E^2 + \frac{1}{2} \mu_0 B^2 \]
where \( E \) is the electric field strength and \( B \) is the magnetic field strength.
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