An electromagnetic plane wave has an electric field that is 37 parallel to the y axis, and has a Poynting vector given by S(x, t) = (100 W/m2) cos²(kx – wt)i, where x is in meters, k = 10.0 rad/m, w = 3.00 x 10° rad/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 func- tions of x and t. 5SM

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•• An electromagnetic plane wave has an electric field that is
parallel to the y axis, and has a Poynting vector given by S(x, t) =
(100 W/m2) cos²(kx – wt)i, where x is in meters, k = 10.0 rad/m,
w = 3.00 x 10° rad/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 func-
tions of x and t. SSM
37
Transcribed Image Text:•• An electromagnetic plane wave has an electric field that is parallel to the y axis, and has a Poynting vector given by S(x, t) = (100 W/m2) cos²(kx – wt)i, where x is in meters, k = 10.0 rad/m, w = 3.00 x 10° rad/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 func- tions of x and t. SSM 37
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