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A linearly polarized electromagnetic wave given as {E}_{r}=-E_

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A linearly polarized electromagnetic wave given as $E_{r} = - E_{0} \hat{i} cos (k z - ω t)$ is incident normally on a perfectly reflecting infinite wall at $z = a$ . Assuming that the material of the wall is optically inactive, the reflected wave will be given as

E_{r} = - E_{0} \hat{i} cos (k z + ω t)

E_{r} = E_{0} \hat{i} cos (k z - ω t)

E_{T} = - E_{0} \hat{i} cos (k z - ω t)

E_{T} = - E_{0} \hat{i} sin (k z - ω t)

Views: 5,338 students

Updated on: May 25, 2023

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Master Resource Book in JEE Main Physics (Arihant)

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Mateo Discussed

A linearly polarized electromagnetic wave given as

E_{r} = - E_{0} \hat{i} cos (k z - ω t)

is incident normally on a perfectly reflecting infinite wall at

z = a

. Assuming that the material of the wall is optically inactive, the reflected wave will be given as

9 mins ago

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9 mins ago

Text solutionVerified

When a wave is reflected from denser medium, the reflected wave is without change in type of wave but with a change in phase by

18 0^{\circ}

π

radian. Therefore, for the reflected wave we use

z = - z, \hat{i} = - \hat{i}

and additional phase of

π

in the incident wave. The incident EM wave is,

E_{r} = E_{0} \hat{i} cos (k z - ω t)

The reflected

EM

wave is

E_{r} = E_{0} (- \hat{i}) cos [k (- z) - ω t + π] = - E_{0} \hat{i} cos [- (k z + ω t) + π]

= E_{0} \hat{i} cos [- (k z + ω t)] [∵ cos (θ + π) = - cos θ]

= E_{0} \hat{i} cos (k z + ω t)

[∵ cos (- θ) = cos θ]

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Question Text	A linearly polarized electromagnetic wave given as $E_{r} = - E_{0} \hat{i} cos (k z - ω t)$ is incident normally on a perfectly reflecting infinite wall at $z = a$ . Assuming that the material of the wall is optically inactive, the reflected wave will be given as
Updated On	May 25, 2023
Topic	Electromagnetic Waves
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 4
Upvotes	556
Avg. Video Duration	5 min

A linearly polarized electromagnetic wave given as $E_{r} = - E_{0} \hat{i} cos (k z - ω t)$ is incident normally on a perfectly reflecting infinite wall at $z = a$ . Assuming that the material of the wall is optically inactive, the reflected wave will be given as

Text solutionVerified

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A linearly polarized electromagnetic wave given as $E_{r} = - E_{0} \hat{i} cos (k z - ω t)$ is incident normally on a perfectly reflecting infinite wall at $z = a$ . Assuming that the material of the wall is optically inactive, the reflected wave will be given as