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 Eŋ. With k = w/c where c is the speed of light in vacumm, the electric and the magnetic fields are then conventionally given by Eo E - (a) Ē = E cos(ky – wt) â and B = E cos(ky - wt) 2 (b) Ē = E cos(kx – wt) ŷ and B = cos(kx – wt)ê (c) Ē = Eº cos(kx – wt) 2 and B = Eo cos(kx – wt)ŷ (d) Ē = E cos(kx – wt) â and B = Eo cos(ky – wt)ŷ -

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Chapter1: Units, Trigonometry. And Vectors
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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

(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. 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
Transcribed Image Text: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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