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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Calculate the electric and magnetic fields of an oscillating magnetic dipole without using approximation 3. [Do they look familiar? Compare Pro b. 9.35.] Find the Poynting vector, and show that the intensity of the radiation is exactly the same as we got using approximation 3.
Prob. 9.35
Suppose
(This is, incidentally, the simplest possible spherical wave. For notational convenience, let (kr - ωt) = u in your calculations.)
(a) Show that E obeys all four of Maxwell's equations, in vacuum, and find the associated magnetic field. (b) Calculate the Poynting vector. AverageS over a full cycle to get the intensity vector I. (Does it point in the expected direction? Does it fall off like r-2, as it should?)
(c) Integrate I· da over a spherical surface to determine the total power radiated.
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