When mu_r and epsilon_r are the relative perm | vedclass

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(C) The speed of an electromagnetic wave in a medium is given by $v = \frac{1}{\sqrt{\mu \epsilon}}$,where $\mu = \mu_0 \mu_r$ and $\epsilon = \epsilo

Vedclass · Accepted Answer

$\sqrt{\mu_r \epsilon_r}$

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(C) The speed of an electromagnetic wave in a medium is given by $v = \frac{1}{\sqrt{\mu \epsilon}}$,where $\mu = \mu_0 \mu_r$ and $\epsilon = \epsilon_0 \epsilon_r$.The speed of light in vacuum is $c = \frac{1}{\sqrt{\mu_0 \epsilon_0}}$.The refractive index $n$ is defined as the ratio of the speed of light in vacuum to the speed of light in the medium:$n = \frac{c}{v} = \frac{1/\sqrt{\mu_0 \epsilon_0}}{1/\sqrt{\mu \epsilon}} = \sqrt{\frac{\mu \epsilon}{\mu_0 \epsilon_0}} = \sqrt{\mu_r \epsilon_r}$.Therefore,the refractive index is $\sqrt{\mu_r \epsilon_r}$.

When $\mu_r$ and $\epsilon_r$ are the relative permeability and relative permittivity (dielectric constant) respectively,the refractive index is given by:

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