The electric field of a plane electromagnetic wave, travelling in an unknown non-magnetic medium is given by (where , and other quantities have S.I. units). The dielectric constant of the medium is __________. (Speed of light in free space m/s)

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Solution

Q.
The electric field of a plane electromagnetic wave, travelling in an unknown non-magnetic medium is given by

$E_{y} = 20 \sin (3 \times 10^{6} x - 4.5 \times 10^{14} t) V/m,$

(where $x$ , $t$ and other values have S.I. units). The dielectric constant of the medium is __________.

(Speed of light in free space $3 \times 10^{8}$ m/s) [2026]

Ans.
(4)

$n = \frac{C}{V}$

$V = \frac{ω}{k} = \frac{4.5 \times 10^{14}}{3 \times 10^{6}} = \frac{3}{2} \times 10^{8}$

$n = 2$

$n = \sqrt{μ_{r} ε_{r}} (μ_{r} = 1)$

$2 = \sqrt{ε_{r}}$

$ε_{r} = 4$

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