A right- moving em wave overlaps with a left-moving wave so, Ask an Expert

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a right- moving EM wave overlaps with a left-moving wave so in a certain region of space the total electric field in the y-direction and the magnetic field in the z direction are give: Ey = E0 sin(kx-wt) + E0 sin (kx+wt) Bz = B0 sin(kx-wt)+ B0 sin (kx+wt)

a. find the mathematical expression that represents the standing electric and magnetic waves in the y and z direction respectively ( use trig identity).

b. What would be the amplitude ( as function of x) of each of these resulting E and B fields?

c. Determine the Poynting Vector and find the x-location at which it is zero at all times.

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