Consider a plane, monochromatic, electromagnetic wave traveling in a homogeneous medium, with index of refraction n = 1. Its magnetic field vector B in units of T is given by B₁ = 0 B₂ = 0 By = -9 × 10-8 sin(0.78x + 3.14 × 10³t)ŷ where t is seconds, and is in meters. a) Derive an expression for the electric field E associated with the magnetic field By. b) Find the direction of the the electric field from part a. c) Find the direction of the Poynting vector 5.

Consider a plane, monochromatic, electromagnetic wave traveling in a homogeneous medium, with index of refraction n = 1. Its magnetic field vector B in units of T is given by B₁ = 0 B₂ = 0 By = -9 × 10-8 sin(0.78x + 3.14 × 10³t)ŷ where t is seconds, and is in meters. a) Derive an expression for the electric field E associated with the magnetic field By. b) Find the direction of the the electric field from part a. c) Find the direction of the Poynting vector 5.