Suppose that a right-moving EM wave overlaps with a left-moving EM wave so that, in a certain region of space, the total electric field in the y direction and magnetic field in the z direction are given by Ey = E0 sin (kx − ωt) + E0 sin (kx + ωt) and Bz = B0 sin (kx − ωt) – B0 sin (kx + ωt). (a) Find the mathematical expression that represents the standing electric and magnetic waves in the y and z directions, respectively. (b) Determine the Poynting vector and find the x locations at which it is zero at all times.
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