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An electric field traveling through vacuum can be described as a plane wave E(r,t) = Eoexp[-i(ωt...

An electric field traveling through vacuum can be described as a plane wave E(r,t) = Eoexp[-i(ωt + k•z)]. (a) What is the angular frequency, wavelength, wave number, velocity, direction of propagation, and electric and magnetic field amplitude of this light wave? (b) Write equations describing the electric and magnetic fields in sinusoidal form, with all known quantities expressed numerically. (c) Write equivalent equations in complex exponential form. (d) What would be the maximum electric and magnetic forces exerted by this wave on an electron traveling at 105 m/s in the z-direction. How would those forces change if the electron were instead traveling in the y-direction? If the electron were stationary? (IN DETAIL PLEASE, I COULD NOT CONVERT THE EQUATIONS)

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