A plane electromagnetic wave is given by E_z | vedclass

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Question

(B) The general equation for a plane electromagnetic wave is $E = E_0 \cos(\omega t + kx)$.Comparing this with the given equation $E_z = 100 \cos(6

Vedclass · Accepted Answer

$2$

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(B) The general equation for a plane electromagnetic wave is $E = E_0 \cos(\omega t + kx)$.Comparing this with the given equation $E_z = 100 \cos(6 	imes 10^8 t + 4x)$:Angular frequency $\omega = 6 	imes 10^8 	ext{ rad/s}$.Wave number $k = 4 	ext{ rad/m}$.The speed of the wave in the medium is given by $v = \frac{\omega}{k} = \frac{6 	imes 10^8}{4} = 1.5 	imes 10^8 	ext{ m/s}$.The refractive index $n$ of the medium is given by $n = \frac{c}{v}$,where $c = 3 	imes 10^8 	ext{ m/s}$ is the speed of light in vacuum.$n = \frac{3 	imes 10^8}{1.5 	imes 10^8} = 2$.Therefore,the refractive index of the medium is $2$.

$A$ plane electromagnetic wave is given by $E_z = 100 \cos(6 \times 10^8 t + 4x) \text{ V/m}$. The refractive index of the medium in which the wave is traveling is:

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