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by: Emery Rippin

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# Classical Electrodynamics I PHYS 604

Marketplace > Old Dominion University > Physics 2 > PHYS 604 > Classical Electrodynamics I
Emery Rippin
ODU
GPA 3.76

Staff

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COURSE
PROF.
Staff
TYPE
Study Guide
PAGES
2
WORDS
KARMA
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## Popular in Physics 2

This 2 page Study Guide was uploaded by Emery Rippin on Monday September 28, 2015. The Study Guide belongs to PHYS 604 at Old Dominion University taught by Staff in Fall. Since its upload, it has received 29 views. For similar materials see /class/215336/phys-604-old-dominion-university in Physics 2 at Old Dominion University.

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Date Created: 09/28/15
H to 03 Sample Final Exam incomplete Phys 604 Autumn 2006 December 10 2006 i Three charges are arranged along the 2axis as follows charge 4 gt 0 is at 2 a charge q is at 2 7a and charge 24 is at the origin a What is the electrostatic potential energy of this configuration rel ative to the energy of these three charges separated at in nity b Solve for the electrostatic potential a0a at zy2 a707a from the three charges c Find the magnitude and direction or cartesian components of the Electric Field Ea7 07a at the same point i Two conducting halfplanes form bound the region I gt 0 O y gt 0 A charge Q is at the position I y 2 a7 a 0 Use the method of image charges to solve for the potential Mac y 2 in the region I gt 0 and y gt Or a Place image charges at the three points 27y a77a 17y 7a7a and 27y 7a7 7a What values of the image charges will ensure that q5z02 0 for z gt 0 and 41507 y 2 0 for y gt 0 b What is the electrostatic force on the charge Q at z y 2 a7 a 0 c What is the surface charge density 0z 07 2 for z gt 0 i A square metalic box is bounded by the six surfaces at y 2 0 or at The edges of the box are infinitessimally thin insulators The electrostatic potentials on the surfaces are 07972 7V0 017 y7 2 Vo 45170 2 41517 a 2 0 15I7y70 Mama 0 There are no charges inside the box other than on the surfaces If you don t understand the stepbystep breakdown of the problem just solve for the solution Mac y 2 inside the box I a Use a trial solution of the form 151x zy2 XzYyZ2 with eignevalue equations X z A Xz 0 Y y AyYy 0 Z 2 AZZ2 0 What are the permissible eigenvalues A A17Ay7Az b What are the eigenfunctions YAyy that satisfy the boundary con ditions on ab at y 07 a c What are the eigenfunctions ZAZ 2 that satisfy the boundary con ditions on ab at 2 07 a d What is the general expansion Maw ZAAXAltIgtYAyltygtZAZltzgt7 A satisfying the boundary conditions at y 0 a and 2 0 at e Obtain the expansion coef cients AA by projection Evaluate both sides of the integrals A dy a d245lt07y72gtYnltygtZmlt2gt AAXAlt0gt 1 deAyltygtYnltygtl 1 dz ZAZlt2gtZmltzgtl A dy a dz a7y7zYnyZmz AAXAltagt 1 wagonum 1 dzzAzltzgtzmltzgtl f What is the solution for Mac y 2 inside the box i The electrostatic potential 41506730 in a spherical annulus a lt T lt b satisfies Laplace s equation V315 0 On the boundaries the potential is 415a7t97g0 V0 0052 9 cost 71 4150276790 7V0 0052 9 3086 71 Note the change of sign Note also that since the surface T a is not an equipotential surface it is not a single conductor and the electric field does not have to be purely radial at either T a or T bi This could be constructed by a series of metalic rings each occupying an infinitessimal band in lattitude encircling the 2axisi a Find the electrostatic potential for a lt T lt b b Use Gauss law to find the net charge in or on the region T S at

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