Consider a plane, monochromatic, electromagnetic wave traveling in a homogeneous medium. Its magnetic field vector B in units of T is given by B₁ = 0 By = 0 B = Bo cos(9y + 2 x 10ºt) where y is in meter and t in second. a) Derive an expression for the electric field E associated with the magnetic field B. b) Find the direction of the the electric field E from part a. c) Calculate the average value of the Poynting vector in terms of Bo, and the speed of light. The index of refraction of the medium is n = 1.
Consider a plane, monochromatic, electromagnetic wave traveling in a homogeneous medium. Its magnetic field vector B in units of T is given by B₁ = 0 By = 0 B = Bo cos(9y + 2 x 10ºt) where y is in meter and t in second. a) Derive an expression for the electric field E associated with the magnetic field B. b) Find the direction of the the electric field E from part a. c) Calculate the average value of the Poynting vector in terms of Bo, and the speed of light. The index of refraction of the medium is n = 1.
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Transcribed Image Text:Consider a plane, monochromatic, electromagnetic wave traveling in a homogeneous medium.
Its magnetic field vector B in units of T is given by
B = 0
B₁ = 0 B₂= Bo cos(9y+ 2 × 10ºt)
where y is in meter and t in second.
a)
Derive an expression for the electric field E associated with the magnetic field B₂.
b)
Find the direction of the the electric field E from part a.
c)
Calculate the average value of the Poynting vector in terms of Bo, and the speed of light.
The index of refraction of the medium is n = 1.
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