HW6 - (b) Use Green's function techniques to solve for the...

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UNIVERSITY OF CALIFORNIA Santa Barbara Department of Electrical and Computer Engineering Problem Set No. 6 Issued: November 13, 2007 Fall 2007 Due: November 16, 2007 5 PM ECE 201A 1. Using method of images find the multiple images of a line charge with a uniform charge distribution positioned in front of a dielectric slab as shown below. Express the electrostatic potential due to these images in region I, II, and III. ε 0 , μ 0 Region I Region II Region III Line charge 0 , 0 1 , 0 2. Consider the microstrip geometry shown below. You are asked to solve for the electrostatic potential that would result from a charge distribution on the conducting strip. To do this perform the following steps. (a) Use the image theorem to eliminate the ground plane.
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Unformatted text preview: (b) Use Green's function techniques to solve for the electrostatic potential of the resulting problem. That requires considering the potential due to a line charge. Use the result of problem 3 of homework set 5 to formulate the solution. (c) Write an expression for the potential on the strip. This is an integral equation for the unknown charge distribution. Once this unknown charge distribution is found one can solve for the potential everywhere. You can assume that metal strip and the ground plane are perfect conductors of zero thickness. Metal Air Dielectric Metal 3. Reading assignment: Advanced Engineering Electromagnetics, by C. A. Balanis, Sections 8.4, 8.5, 8.6, 8.7, 8.8 and 9.5....
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This note was uploaded on 12/02/2009 for the course ECE 000 taught by Professor O during the Spring '09 term at UCSB.

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