An electromagnetic plane wave has an electric field that
Chapter , Problem 37(choose chapter or problem)
An electromagnetic plane wave has an electric field that is parallel to the y axis, and has a Poynting vector given by \(\vec{S}(x, t)= \left(100 \mathrm{~W} / \mathrm{m}^2\right) \cos ^2(k x-\omega t) \hat{i}\), where x is in meters, \(k=10.0 \mathrm{rad} / \mathrm{m}\), \(\omega=3.00 \times 10^9 \mathrm{rad} / \mathrm{s}\), and t is in seconds.
(a) What is the direction of propagation of the wave?
(b) Find the wavelength and frequency of the wave.
(c) Find the electric and magnetic fields of the wave as functions of x and t.
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