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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a Knowing that the cross product of E s with the complex conjugate of the ph...View the full answer
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