The electric field in an electromagnetic wave is in the y-direction and described by Ey = E0cos(kx - ωt), where E0 = 465 N/C. (a)  If the electromagnetic wave is traveling in the x-direction in vacuum, what is the direction of the magnetic field?  (b)  Express the amplitude of the magnetic field, B0, in terms of E0 and the speed of light c.   (c)  Find the intensity of the electromagnetic wave, I, in terms of E0, c, and the permeability of free space μ0.

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
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  The electric field in an electromagnetic wave is in the y-direction and described by Ey = E0cos(kx - ωt), where E0 = 465 N/C.

(a)  If the electromagnetic wave is traveling in the x-direction in vacuum, what is the direction of the magnetic field? 

(b)  Express the amplitude of the magnetic field, B0, in terms of E0 and the speed of light c

 (c)  Find the intensity of the electromagnetic wave, I, in terms of E0c, and the permeability of free space μ0
   (d)  Solve for the numerical value of I in watts per square meter. 

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