An electric field in free space is given in spherical coordinates as E s (r) = E

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An electric field in free space is given in spherical coordinates as Es (r) = E0(r)e−jkr aθ 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 E0(r) 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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Engineering Electromagnetics

ISBN: 978-0073380667

8th edition

Authors: William H. Hayt, John A.Buck

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