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.