450fall09hw1

450fall09hw1 - ECE 450 Homework 1 Due: Tue, Sept 1, 2009, 5...

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Unformatted text preview: ECE 450 Homework 1 Due: Tue, Sept 1, 2009, 5 PM 1. In the four figures below the planar media interface coincides with the plane z = 0 . Match the descriptions below to the figures. Justify your answer. a) There is a surface electric charge density of (1 / 18 ) 10- 9 (C / m 2 ) on the media interface. b) There is a surface electric charge density of- (1 / 18 ) 10- 9 (C / m 2 ) on the media interface. c) There is a surface electric current density of y 3 2 ( 10 3 / 4 ) (A / m) on the media interface. d) There is a surface electric current density of y ( 10 3 / 4 ) (A / m) on the media interface. 2. a) Take the divergence of Amperes law, and make use of H = 0 as well as Gausss law D = , to derive the continuity equation t + J = 0 . b) Which conservation principle does this equation represent mathematically? 3. Consider an oscillating electron with the trajectory r ( t ) = z z 2 sin( t ) , described by a charge density function...
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450fall09hw1 - ECE 450 Homework 1 Due: Tue, Sept 1, 2009, 5...

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