329sum09hw3 - ECE 329 Homework 3 Due: June 25, 2009, 5PM 1....

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Unformatted text preview: ECE 329 Homework 3 Due: June 25, 2009, 5PM 1. Consider a three-slab geometry of three identical slabs of equal widths W in x-direction, and infinite extent in y and z directions. In slab 1 extending over- 2 W < x <- W , charge density is- 2 o , where o measured in C/m 3 units is some positive number. In slab 2 extending over- W < x < the charge density is- o . Finally, in slab 3 extending over < x < W the charge density is 3 o . Charge density is zero everywhere else. Determine and sketch E x ( x ) over the region- 3 W < x < 3 W . Label both axes of your plot carefully, marking the field value at each break point. Hint: use superposition of shifted and scaled versions of the static field configuration of a single charged slab. 2. Coulombs field of a charge Q stationed at the origin of a right-handed Cartesian coordinate system can be expressed as E = Q 4 o r 2 r = Q 4 o r 2 ( x,y,z ) r , where r 2 x 2 + y 2 + z 2 and r . Verify that E = 0 by showing that when...
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This note was uploaded on 09/16/2011 for the course ECE 329 taught by Professor Kim during the Fall '08 term at University of Illinois, Urbana Champaign.

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