The electromagnetic waves travel in a medium | vedclass

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(A) The speed of electromagnetic waves in a medium is given by $v = \frac{1}{\sqrt{\mu \epsilon}}$.Since $\mu = \mu_0 \mu_r$ and $\epsilon = \epsilon_

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$2$

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(A) The speed of electromagnetic waves in a medium is given by $v = \frac{1}{\sqrt{\mu \epsilon}}$.Since $\mu = \mu_0 \mu_r$ and $\epsilon = \epsilon_0 \epsilon_r$,we have $v = \frac{1}{\sqrt{\mu_0 \mu_r \epsilon_0 \epsilon_r}} = \frac{c}{\sqrt{\mu_r \epsilon_r}}$,where $c = \frac{1}{\sqrt{\mu_0 \epsilon_0}} = 3.0 	imes 10^8 \ m/s$.Given $v = 2.0 	imes 10^8 \ m/s$ and $\mu_r = 1.0$.Substituting these values: $\frac{c}{v} = \sqrt{\mu_r \epsilon_r}$.$\frac{3.0 	imes 10^8}{2.0 	imes 10^8} = \sqrt{1.0 	imes \epsilon_r}$.$1.5 = \sqrt{\epsilon_r}$.Squaring both sides: $\epsilon_r = (1.5)^2 = 2.25$.

The electromagnetic waves travel in a medium at a speed of $2.0 \times 10^{8} \ m/s$. The relative permeability of the medium is $1.0$. The relative permittivity of the medium will be (in $.25$)

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