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The next six questions pertain to the situation described below. A plane monochromatic electromagnetic wave with wavelength 1 = 3 cm, propagates

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The next six questions pertain to the situation described below. A plane monochromatic electromagnetic wave with wavelength 1 = 3 cm, propagates through a vacuum. Itsmagnetic field is described by is = (31% By?) cos(kz + (at) where Bx = 3.3 X 10-5 T, By = 3.9 X 10-5 T, and i-hat and j-hat are the unit vectors in the +x and +y directions,respectively. 1) What is f, the fiequency of this wave? GHz 2) What is I, the intensity of this wave? Win12 3) What is SZ, the z-component of the Poynting vector at (x = 0, y = 0, z = 0) at t = 0? mez 4) What is Ex, the x—component of the electric field at (x = 0, y = 0, z = 0) at t = 0? Vim 5) Compare the sign and magnitude of 32, the z—component of the Poynting vector at (x=y=z=t=0) of the wavedescribed above to the sign and magnitude of 3112, the z-component of the Poynting vector at (x=y=z=t=0)of another plane monochromatic electromagnetic wave propagating through vaccum described by: 73 = (are? — 311;) cos-(k2 — m) where BIL: = 3.9 X 10'‘5 T, B”), = 3.3 X 10'‘5 T, and i-hat andj-hat are the unit vectors in the +x and +ydirections, respectively. a. 8112 < 0 and magnitude(SHJ 96 magnitude(Sz)b. Sflz < 0 and magnitude(SHZ) = magnitude(Sz)c. 8112 > 0 and magnitude(SH;Q 95 magnitude(Sz)d. 8112 > 0 and magnitude(SHJ = magnitude(Sz)
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