Question A8Consider 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 byBr = 0 B₂ = 0By = −9 x 10−8 sin(0.78r +3.14 × 10°t)âywhere t is seconds, and x 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 E from part a.c)Find the direction of the Poynting vector S.[1 marks]

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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 where t is seconds, and is in meters. a) Derive an expression for the electric field E associated with the magnetic field B₁. B₁ = = -9 × 10-8 sin(0.78x + 3.14 × 10°t)ŷ b) Find the direction of the the electric field E from part a. c) Find the direction of the Poynting vector 5. [1 marks]

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 where t is seconds, and is in meters. a) Derive an expression for the electric field E associated with the magnetic field B₁. B₁ = = -9 × 10-8 sin(0.78x + 3.14 × 10°t)ŷ b) Find the direction of the the electric field E from part a. c) Find the direction of the Poynting vector 5. [1 marks]