# HW5 - UNIVERSITY OF CALIFORNIA Santa Barbara Department of...

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UNIVERSITY OF CALIFORNIA Santa Barbara Department of Electrical and Computer Engineering Problem Set No. 5 Issued: October 29, 2008 Fall 2008 Due: November 5, 2008 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. ! " # " " Region I Region II Region III Line charge ! " # " " ! \$ # " " 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. (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 1 to formulate the solution.

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