A sinusoidal plane electromagnetic wave travels in a vacuum in the x direction as shown in the graph. The period of the wave is T = 3.5 × 10-8 s. (a)  Express the wavelength of the wave, λ, in terms of T and the speed of light, c.   (b)  Solve for the numerical value of λ in m.  (c)  Write the equation of the frequency, f, in terms of T.

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 72PQ
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A sinusoidal plane electromagnetic wave travels in a vacuum in the x direction as shown in the graph. The period of the wave is T = 3.5 × 10-8 s.

(a)  Express the wavelength of the wave, λ, in terms of T and the speed of lightc

 (b)  Solve for the numerical value of λ in m. 
(c)  Write the equation of the frequency, f, in terms of T
 (d)  Solve for the numerical value of f in Hz. 
(e)  The magnetic field reaches its maximum value, Bmax = 6.8 x 10-6 T, in the z direction at some point and at some instant. Express the magnitude of the electric field at this position and time, Emax, in terms of Bmax
   (f)  Solve for the numerical value of Emax in V/m. 
  (g)  What is the direction of the electric field at this position and time? 

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