329fall09hw4sol - ECE 329 Fall 2009 Homework4 Solution Due:...

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Unformatted text preview: ECE 329 Fall 2009 Homework4 Solution Due: Sep. 22, 2009 1. a) In this problem, there is no y and z dependencies, therefore E ( x ) =- V ( x ) =- V ( x ) x x =- 4 3 d- 4 3 x 1 3 x. Thus, E d 2 =- 4 3 1 2 1 3 d- 1 x =- 2 3 3 4 d- 1 x ( V/m ) . b) According to the di erential form of Gauss' Law, we have = D = x x + y y + z z ( E ) = x x + y y + z z - x 4 3 d- 4 3 x 1 3 =- 4 9 d- 4 3 x- 2 3 ( C/m 3 ) . Therefore, d 4 =- 4 9 d- 4 3 d 4- 2 3 =- 8 9 3 2 d- 2 ( C/m 3 ) . c) According to the boundary condition, s ( d ) = n D ( d ) = (- x ) [ E ( d )] = (- x ) - 4 3 d- 1 x = 4 3 d- 1 ( C/m 2 ) . 2. a) According to Example 3 in Lecture 3, the eld between the slabs is E = z 2 = 2 z ( V/m ) . Thus, D = E = 2 z ( C/m 2 ) , P = D- E = 0 ( C/m 2 ) . b) According to Gauss' Law, D is the same as that in (a), namely D = 2 z ( C/m 2 ) ....
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This note was uploaded on 05/05/2010 for the course ECE 329 taught by Professor Franke during the Spring '08 term at University of Illinois at Urbana–Champaign.

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329fall09hw4sol - ECE 329 Fall 2009 Homework4 Solution Due:...

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