The electric field of a plane electromagnetic | vedclass

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(D) The general equation for a plane wave is $E = E_0 \sin(kx - \omega t)$.Comparing this with the given equation, we have the angular frequency $\ome

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$4$

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(D) The general equation for a plane wave is $E = E_0 \sin(kx - \omega t)$.Comparing this with the given equation, we have the angular frequency $\omega = 4.5 	imes 10^{14} 	ext{ rad/s}$ and the wave number $k = 3 	imes 10^6 	ext{ rad/m}$.The phase velocity $v$ of the wave in the medium is given by $v = \frac{\omega}{k} = \frac{4.5 	imes 10^{14}}{3 	imes 10^6} = 1.5 	imes 10^8 	ext{ m/s}$.The refractive index $n$ of the medium is $n = \frac{c}{v} = \frac{3 	imes 10^8}{1.5 	imes 10^8} = 2$.For a non-magnetic medium, the relative permeability $\mu_r = 1$. The refractive index is related to the dielectric constant (relative permittivity) $\varepsilon_r$ by $n = \sqrt{\mu_r \varepsilon_r} = \sqrt{\varepsilon_r}$.Thus, $\varepsilon_r = n^2 = 2^2 = 4$.

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