# 2_10 - PHY 5346 HW Set 4 Solutions Kimel 3. 2.10 As done in...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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 ...
View Full Document

## 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.

Ask a homework question - tutors are online