If the relative permeability and dielectric c | vedclass

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(A) The speed of light in a vacuum is given by $c = \frac{1}{\sqrt{\mu_0 \varepsilon_0}}$.The speed of light in a medium is given by $v = \frac{1}{\sq

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$\sqrt{\mu_r K}$

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(A) The speed of light in a vacuum is given by $c = \frac{1}{\sqrt{\mu_0 \varepsilon_0}}$.The speed of light in a medium is given by $v = \frac{1}{\sqrt{\mu \varepsilon}}$,where $\mu = \mu_0 \mu_r$ and $\varepsilon = \varepsilon_0 \varepsilon_r = \varepsilon_0 K$.Substituting these values,we get $v = \frac{1}{\sqrt{\mu_0 \mu_r \varepsilon_0 K}} = \frac{1}{\sqrt{\mu_0 \varepsilon_0}} \cdot \frac{1}{\sqrt{\mu_r K}} = \frac{c}{\sqrt{\mu_r K}}$.The refractive index $n$ is defined as $n = \frac{c}{v}$.Therefore,$n = \frac{c}{c / \sqrt{\mu_r K}} = \sqrt{\mu_r K}$.

If the relative permeability and dielectric constant of a medium are $\mu_r$ and $K$ respectively,then the refractive index $n$ of the medium is:

Similar Questions

The speed of an electromagnetic wave in a vacuum depends upon the source of radiation.

$A$ plane electromagnetic wave is moving in free space with velocity $c = 3 \times 10^8 \ m/s$ and its electric field is given as $\vec{E} = 54 \sin(kz - \omega t) \hat{j} \ V/m$,where $\hat{j}$ is the unit vector along the $y$-axis. The magnetic field vector $\vec{B}$ of the wave is:

Which of the following statements is not correct?

If $\overrightarrow{E}$ and $\overrightarrow{B}$ represent electric and magnetic field vectors of an electromagnetic wave,the direction of propagation of the electromagnetic wave is along . . . . . . .

If the magnetic field of a plane electromagnetic wave is given by (The speed of light $c = 3 \times 10^8 \, m/s$):
$B = 100 \times 10^{-6} \sin \left[ 2\pi \times 2 \times 10^{15} \left( t - \frac{x}{c} \right) \right]$
Then the maximum electric field associated with it is:

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