Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 11, Problem 11.8P
An electric field in free space is given in spherical coordinates as Es(r) = E0(r)e-Jkra^V/m. (a) Find Hs.(r) assuming uniform plane wave behavior. (b) Find < S >. (c) Express the average outward power in watts through a closed spherical shell of radius r, centered at the origin, (d) Establish the required functional form of Er,(f) that will enable the power flow in part c to be independent of radius. With this condition met: the given field becomes that of an isotropic radiator in a lossless medium (radiating equal power density in all directions).
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Chapter 11 Solutions
Engineering Electromagnetics
Ch. 11 - Show that Ex8 = Aej(k0z+) is a solution of the...Ch. 11 - Prob. 11.2PCh. 11 - Prob. 11.3PCh. 11 - Small antennas have low efficiencies (as will be...Ch. 11 - Consider two x-polarized waves that...Ch. 11 - A uniform plane wave has electric field E8 =...Ch. 11 - Prob. 11.7PCh. 11 - An electric field in free space is given in...Ch. 11 - An example of a nonuniform plane wave is a surface...Ch. 11 - Prob. 11.10P
Ch. 11 - A uniform plane wave at frequency f= 100 MHz...Ch. 11 - Repeat Problem 11.11, except the wave now...Ch. 11 - Let jk = 0.2 + jl.5 m -1 and y = 450 +J60 for a...Ch. 11 - Describe how the attenuation coefficient of a...Ch. 11 - A 10-GHz radar signal may be represented as a...Ch. 11 - Consider the power dissipation term. E.jdv, in...Ch. 11 - Prob. 11.17PCh. 11 - Given, a 100-MHz uniform plane wave in a medium...Ch. 11 - Prob. 11.19PCh. 11 - Prob. 11.20PCh. 11 - Prob. 11.21PCh. 11 - Prob. 11.22PCh. 11 - Prob. 11.23PCh. 11 - (a) Most microwave ovens operate at 2.45 GHz....Ch. 11 - Let jk = 0.2 + jl.5 m-1 and y\ = 450 +j60 Q for a...Ch. 11 - Prob. 11.26PCh. 11 - Prob. 11.27PCh. 11 - Prob. 11.28PCh. 11 - Consider a left circularly polarized wave in free...Ch. 11 - Prob. 11.30PCh. 11 - Prob. 11.31PCh. 11 - Prob. 11.32PCh. 11 - Given a wave for which Es=10ejxax+18ejxejayV/m. in...Ch. 11 - Given, a general elliptically polarized wave as...
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