Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 31, Problem 63GP

The electric and magnetic fields of a certain EM wave in free space are given by E = E 0 sin ( k x ω t ) j ^ + E 0 cos ( k x ω t ) k ^ and B = B 0 cos ( k x ω t ) j ^ B 0 sin ( k x ω t ) k ^ . (a) Show that E and B are perpendicular to each other at all times. (b) For this wave, E and B are in a plane parallel to the yz plane. Show that the wave moves in a direction perpendicular to both E and B . (c) At any arbitrary choice of position x and lime t, show that the magnitudes of E and B always equal E0 and B0, respectively. (d) At x = 0, draw the orientation of E and B in the yz plane at t = 0. Then qualitatively describe the motion of these vectors in the yz plane as lime increases. [Note: The EM wave in this Problem is “circularly polarized.”]

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Chapter 31 Solutions

Physics for Scientists and Engineers with Modern Physics

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