A plane electromagnetic wave propagating in the x-direction has a wavelength of 5.0 mm. The electric field is in the y-direction and its maximum magnitude is `30V (m^-1)`. Write suitable equations for the electric and magnetic fields as a function of x and t.

Explanation

To solve the problem, we need to derive the equations for the electric and magnetic fields of a plane electromagnetic wave propagating in the x-direction. The given parameters are:

- Wavelength (λ) = 5.0 mm = 5.0 × 10^-3 m
- Maximum electric field (E₀) = 30 V/m

### Step-by-Step Solution:

**Step 1: Determine the speed of light (c).**
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