A wave in a material

You will write three small functions for a plane electromagnetic wave. Use $c = 3.00 \times 10^{8}$ m/s.

The idea. In a material with relative permittivity $\varepsilon_r$ and relative permeability $\mu_r$, the speed is $v = c/\sqrt{\varepsilon_r\mu_r}$. The frequency does not change, so the wavelength is $\lambda = v/f$. The peak fields are tied by $E_0 = vB_0$.

Your tasks.

1. In wave_speed, return the speed in m/s for eps_r and mu_r.
2. In wavelength, return the wavelength in m of a wave of frequency frequency in Hz in a non-magnetic material of relative permittivity eps_r.
3. In peak_b, return the peak magnetic field in T, from the peak electric field e_peak in V/m and the speed speed in m/s.