First slide

Electromagnetic waves and its nature

Question

The speed of electromagnetic wave in the unit of $10^{8} m / s$ , in a medium of dielectric constant 2.25 and relative permeability 4 is

Easy

Solution

The speed of electromagnetic wave in a medium is given by.
$V = \frac{1}{\sqrt{μ \in}} = \frac{1}{\sqrt{μ_{0} \in_{0} μ_{r} \in_{r}}} \Rightarrow v = \frac{C}{\sqrt{μ_{r} \in_{r}}}$
$\Rightarrow V = \frac{3 \times 10^{8}}{\sqrt{4 \times 2.25}} (C = 3 \times 10^{8} m / s)$
$\Rightarrow V = 1 \times 10^{8} m / s$

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