hw1_p5406_s06 - HW 1 Phys5406 S06 due 1/26/06 IA sn ™l—ss...

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Unformatted text preview: HW 1 Phys5406 S06 due 1/26/06 IA sn ™l—ss we found the B eld on the —xis of — ™ir™ul—r loop of r—dius ‚ ™—rrying ™urrent sF xow everywhere on the —xis there is no ™urrentD so th—t the eld is deriv—˜le from — s™—l—r potenti—lD ¨F g—l™ul—te ¨ —ppli™—˜le for —ll points on the —xisF ‰our —nswer should ™ont—in — seemingly —r˜itr—ry integr—tion ™onst—ntF roweverD for points very f—r from the loop ¨ reE du™es to th—t from only — m—gneti™ moment termF „his —llows ev—lu—tion of the integr—tion ™onst—ntY wh—t is itc PA e ™ondu™ting sphere of r—dius ‚ h—s — uniform surf—™e ™h—rge density F „he sphere rot—tes —˜out — di—meter with ™onst—nt —ngul—r velo™ity !F ghoose the dire™tion of the —ngul—r velo™ity —s the z —xisF ‡h—t is the m—gneti™ momentc QA por the ™—se of question PAD wh—t is B —nd wh—t is the m—gneti™ s™—l—r potenti—l ¨ f—r from the spherec RA e sphere of r—dius ‚ —nd perme—˜ility 1 is ™ompletely surrounded ˜y m—teri—l of perE me—˜ility 2F foth perme—˜ilities —re ™onst—ntF €ut the origin —t the ™enter of the sphereF sf everywhere inside the sphere there is — ™onst—nt m—gneti™ eld B1 a B0ezD wh—t is B2 —nd B1 B2 —t the surf—™e of the sphere —s — fun™tion of D the pol—r —nglec SA e fohr m—gneton is the sm—llest nonEzero m—gneti™ moment of —n ele™tron due to its or˜it—l motionF g—l™ul—te this qu—ntity @don9t just ™opy this from some h—nd˜ookD try to get it yourselfAF xow ™—l™ul—te the r—tio of the m—gnitude of the for™e ˜etween two p—rE —llel fohr m—gnetons to th—t ˜etween two p—r—llel ele™tri™ dipole moments of m—gnitude e H:IengstromF gonsider the ™—se when the dipoles —re ™oEline—rF ¡ ¢ I ...
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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.

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