329sum09hw3sol - ECE-329 Summer 2009 Homework 3 Solution...

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Unformatted text preview: ECE-329 Summer 2009 Homework 3 Solution June 25, 2009 1. Let us consider the static charge configuration shown in the next figure composed of three charged slabs of equal widths W in x-direction and infinite extent in y and z directions. W- W-2 W x y-2 o- o 3 o Slab 1 Slab 2 Slab 3 The electric field generated by a single charged slab has been derived in the class notes. Making use of that result, we find that the electric fields generated by each of the three slabs depicted above are, respectively, E 1 = o W o x, x <- 2 W,- 2 o o ( x + 3 W 2 ) x,- 2 W < x <- W,- o W o x, x >- W, W- W-2 W x-3 W 3 W 2 W E 1 x- 2 o o- o o 2 o o o o E 2 = o W 2 o x, x <- W,- o o ( x + W 2 ) x,- W < x < ,- o W 2 o x, x > , W- W-2 W x-3 W 3 W 2 W E 2 x- 2 o o- o o 2 o o o o 1 ECE-329 Summer 2009 E 3 = - 3 o W 2 o x, x < , 3 o o ( x- W 2 ) x, < x < W, 3 o W 2 o x, x > W. W- W-2 W x-3 W 3 W 2 W E 3 x- 2 o o- o o 2 o o o o Adding these fields, we find that the total field in space is E = E 1 + E 2 + E 3 = - 2 o o ( x + 2 W ) x,- 2 W < x <- W,- o o ( x + 3 W ) x,- W < x < , 3 o o ( x- W ) x, < x < W,...
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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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329sum09hw3sol - ECE-329 Summer 2009 Homework 3 Solution...

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