Nature of electromagnetic wave

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Question

A plane electromagnetic wave is propagating in a transparent medium having relative permeability 1.6 and relative permittivity 1.8, Then refractive index of the medium is

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Solution

Velocity of propagation of electromagnetic wave in the medium, $v = \frac{1}{\sqrt{με}}$
Velocity of light in vaccum, $c = \frac{1}{\sqrt{μ_{0} ε_{0}}}$
$∴$ Refractive index $\begin{array}{l} \frac{c}{v} = \sqrt{\frac{μ}{μ_{0}} \times \frac{ε}{ε_{0}}} = \sqrt{μ_{r} ε_{r}} = \sqrt{1 .6 \times 1 .8} \\ = \sqrt{2 .88} ≃ 1 .7 \end{array}$

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Nature of electromagnetic wave

Remember concepts with our Masterclasses.

A plane electromagnetic wave is propagating in a transparent medium having relative permeability 1.6 and relative permittivity 1.8, Then refractive index of the medium is

Velocity of propagation of electromagnetic wave in the medium,v=1μεVelocity of light in vaccum, c=1μ0ε0∴ Refractive index cv=μμ0×εε0=μrεr=1.6×1.8=2.88≃1.7

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