HW3_solutions

HW3_solutions - Solutions of Homework #3 Remarks: Get...

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1 Solutions of Homework #3 Remarks: Get familiar with these commonly used integrals! a) The power density on a spherical surface with radius r is () 2 2 26 2 4 10 2 4 m W r r W p s π × = = ( ) W d d r p P s 23 60 50 26 27 12 60 50 2 10 95 . 5 cos 180 12 27 4 10 2 sin × = × × × × = = ∫∫ o o o o o o θ ϕ b) The power density is 2 2 6 26 2 710.8 1609 10 93 4 10 2 4 m W r W p s = × × × = =
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2 a) Use Gauss’ law, and we know only D r component exists ( ) ∫∫∫ = × ππ ϕ θ π 2 00 0 2 ' 2 2 ' sin ' 10 4 r r r d d dr r e r D r r r r a e e r e r D v v + = 4 1 4 1 2 2 2 2 2 2 b) Using the formula of divergence in the spherical coordinate system, we will have
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This homework help was uploaded on 04/06/2008 for the course EE 1 taught by Professor Joshi during the Winter '08 term at UCLA.

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HW3_solutions - Solutions of Homework #3 Remarks: Get...

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