hw3_p5406_s06 - HW 3 Phys5406 S06 due 2/9/06 IA „here w—s...

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: HW 3 Phys5406 S06 due 2/9/06 IA „here w—s dis™ussion in ™l—ss —˜outD g2 a ZI I H @ HA dz G r; r ; @IA removing the depen™e of g2 on ˜oth z9 —nd zF „o see this do tht PEIU@—A —nd PEIU@™AF ‰ou ™—n do @™A without solving p—rt @˜A ˜y notingD @ a <=>AD —nd a ln‘2 C H2 PH ™os@ HA“; @PA a ln‘2 C 2 P>< ™os@ HA“; > < @QA a ln‘@2 A@I C 2 P ™os@ HAA“: > g2 @RA ‰ou ™omplete the rest of the stepsF PA…se the solution found in ™l—ss for the potenti—lD ¨@rAD inside — ™ondu™ting ˜ox of sides @—D˜D™A in the @xDyDzA dire™tions when —ll sides —re grounded ex™ept for the side —t z a ™ th—t is m—int—ined —t potenti—l †@xDyAF sn this pro˜lem we will t—ke †@xDyA a †D ™onst—ntD so th—t no integr—l rem—ins in the expression for ¨@rA F pind the potenti—l —t —ny point inside the ˜ox —nd show th—t the tot—l ™h—rge on the inside surf—™es of the ˜ox —dd to zeroF QA ‡h—t is the potenti—l in the ™—se where you h—ve the s—me ˜ound—ry ™onditions —s pro˜lem PD however now the lower h—lf of the ˜ox @H z c=PA is lled with — diele™tri™ liquid of permitivity F …se v—€l—™e9s equ—tion —nd the ˜ound—ry ™onditions to get the potenti—l —nywhere inside the ˜oxF ‰ou9ll h—ve to —ssume sep—r—te solutions for z c=P —nd c=P z F row would your solution ™h—nge if the liquid w—sn9t isotropi™ —nd homegeneousD ˜ut inste—d Di a iEiD where iaxDyDz —nd the three i —re dierent ™onst—ntsF I ...
View Full Document

This note was uploaded on 12/24/2011 for the course PHYS 5406 taught by Professor Blecher during the Spring '10 term at Virginia Tech.

Ask a homework question - tutors are online