Suppose that a right-moving EM wave overlaps with a

Chapter 31, Problem 31.62

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Suppose that a right-moving EM wave overlaps with a leftmovingEM wave so that, in a certain region of space, the totalelectric field in the y direction and magnetic field in the z directionare given by Ey = Eq sin(kx cot) + Eq sin(kx + cot)and Bz = Bq sin(/:x - cot) Bq sin(/:x + cot), (a) Find themathematical expression that represents the standing electricand magnetic waves in the y and z directions, respectively.(b) Determine the Poynting vector and find the x locations atwhich it is zero at all times.

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