A plane light wave in the visible region is moving along the Z-direction. The frequency of the wave is` 0.5×10^(15)` Hz and the electric field at any point is varying sinusoidally with time with an amplitude of 1V/m. Calculate the energy densities of the electric and magnetic fields.

Explanation

To solve the problem of calculating the energy densities of the electric and magnetic fields for a plane light wave, we will follow these steps:

### Step 1: Understand the concept of energy density
The energy density (u) of an electromagnetic wave is the energy stored per unit volume. It is divided into two parts: the energy density of the electric field (u_E) and the energy density of the magnetic field (u_B).

### Step 2: Formula for energy density
The energy density of the electric field is given by:
\[ u_E = \frac{1}{2} \epsilon_0 E^2 \]
...