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Unformatted text preview: PHY 5346 HW Set 4 Solutions Kimel 3. 2.10 As done in class we simulate the electric field E 0 by two charges at 3 0 E 0 cos a) This charge distribution simulates the given system for cos 0. We have treated this probem in class. The potential is given by 3 E 0 1 a3 r cos x r Using We have the charge density on the plate to be plate For purposes of plotting, consider
1 0.8 0.6 0.4 0.2 0 n surface a3 3 0 z z0 1 x3 0E0 1 plate 0E0 1 0 2 4 x 6 8 10 boss 3 0 E 0 cos For plotting, we use boss 3 0E0 cos 1 0.8 0.6 0.4 0.2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 b) q 3 0 E 0 2a 2 xdx 3 0 E 0 a 2
1 0 c) Now we have r where q q a , d d 1 4
a2 d q
0 r d q r d q r d q r d .
0 r ra q 4 a2 3 a d a a2 3 a d a a d2 d2 a2 3 a a d a2 3 a a d d2 dx d2 q ind 2a 2 qa 2 d 2 a 2 2a 1 q d2 a2 2 d q 4 1 da 2d d2 0
d a2 1 q ind q ind 1 1 1 da 2 a d
2 1 a d2
2 2 2 a d2 q 1 d2 a2 d a2 d2 ...
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This note was uploaded on 01/10/2012 for the course PHYSIS 506 taught by Professor Smith during the Spring '08 term at University of Arkansas Community College at Morrilton.
 Spring '08
 smith

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