The electromagnetic wave of frequency ω travels in the x-direction through vacuum.It is polarized in the y-direction and the amplitude of the electric field is E0. Withk = ω/c where c is the speed of light in vacumm, the electric and the magnetic fieldsare then conventionally given by(a) E~ = E0 cos(ky − ωt) ˆx and B~ =E0 cos(ky − ωt)ˆz(b) E~ = E0 cos(kx − ωt) ˆy and B~ =E0 cos(kx − ωt)ˆz(c) E~ = E0 cos(kx − ωt) ˆz and B~ =E0cos(kx − ωt)ˆy(d) E~ = E0 cos(kx − ωt) ˆx and B~ =E0cos(ky − ωt)ˆy The electromagnetic wave of frequency w travels in the x-direction through vacuum.It is polarized in the y-direction and the amplitude of the electric field is Eo. Withk = w/c where c is the speed of light in vacumm, the electric and the magnetic fieldsare then conventionally given byĒEo=E cos(ky – wt) î and B =cos(ky – wt)êEo(b) Ē = Eŋ cos(kx – wt) ŷ and B =cos(kx – wt)ê-Eocos(kx - wt)ŷ(c) E = E cos(kx - wt) 2 and B =â(d) E = Eo cos(kx - wt) and BEo-cos(ky - wt)ŷ

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Answered: The electromagnetic wave of frequency w…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section: Chapter Questions

Problem 32PQ

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The electromagnetic wave of frequency ω travels in the x-direction through vacuum.
It is polarized in the y-direction and the amplitude of the electric field is E0. With
k = ω/c where c is the speed of light in vacumm, the electric and the magnetic fields
are then conventionally given by
(a) E~ = E0 cos(ky − ωt) ˆx and B~ =E0 cos(ky − ωt)ˆz

(b) E~ = E0 cos(kx − ωt) ˆy and B~ =E0 cos(kx − ωt)ˆz

(d) E~ = E0 cos(kx − ωt) ˆx and B~ =E0cos(ky − ωt)ˆy

The electromagnetic wave of frequency w travels in the x-direction through vacuum.
It is polarized in the y-direction and the amplitude of the electric field is Eo. With
k = w/c where c is the speed of light in vacumm, the electric and the magnetic fields
are then conventionally given by
Ē
Eo
=
E cos(ky – wt) î and B =
cos(ky – wt)ê
Eo
(b) Ē = Eŋ cos(kx – wt) ŷ and B =
cos(kx – wt)ê
-
Eo
cos(kx - wt)ŷ
(c) E = E cos(kx - wt) 2 and B =
â
(d) E = Eo cos(kx - wt) and B
Eo
-
cos(ky - wt)ŷ

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