Rtn y i y dp c p rtn x c dp i y y a p rtn

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: ' ~ „he m—gneti™ s™—l—r potenti—l ¨M is given ˜y H a r¨M X a r¨M   @ ¨M I @ ¨M @ ¨M r C z 'a ” ” 'C ” ” ~ H I Pr  @r r @' ¨M a @@' P I  @z  y aA ¨M a PI ' a PI —r™t—n x xowD the m—gneti™ s™—l—r potenti—l of two p—r—llel wires with ™urrents ¦I z lo™—ted —t x a ” ¦d=PD y a H isX I ¨M a P —r™t—n   y I  y  d=P C P —r™t—n x C d=P   ! I y y a P —r™t—n x d=P —r™t—n x C d=P x Q …sing the formul— —r™t—n u C —r™t—n v a —r™t—n 2 u+v 1 uv ¡ X y y x d=2 x+d=2 y y x d=2 x+d=2 3 ¨M a P —r™t—n I C ¡   I y @x C d=PA y @x d=PA a P —r™t—n @x [email protected] C d=PA C y   I yd a P —r™t—n x d =R C y   I r sin 'd a P —r™t—n r ™os ' d =R C r sin '   rd I a P —r™t—n r d =R sin ' I 2 2 2 2 I a P —r™t—n 2 2 2 2 2 2 2 2 3 d=r I  % @d=rA: R = % PI —r™t—n @@d=rA sin 'A sin ' 0 2 % PI d sin ' r @PA where we9ve used the f—™t th—t —r™t—n x % xF 2.2 ‡e know th—t ¨M must s—tisfy v—pl—™e9s equ—tionD r ¨M a HF pirstD we w—nt to nd the gener—l of M using sep—r—tion of v—ri—˜lesF ‡e9ll st—rt out ˜y —ssuming th—t ¨M a ¨r @rA¨'@'AF xote th—t we9re —ssumed th—t ¨M h—s no z Edependen™eF 2 r @¨r ¨'A a H 2 @ ¨' I @r @r¨Hr A C ¨r rI ¨HH a H ' r I r @¨H C r¨HHA C ¨HH a H ' r r ¨ {z ¨' |r } |{z} 2 k k ¨HH a k¨' aA ¨' a A sin @k'A C B ™os @k'A ' HH C r¨H a k ¨ aA ¨ a Cr` C Dr ` r ¨r r r p 2 ) ¨M a Cr ` ¡ C Dr ` @A sin @k'A C B ™os @k'AA R...
View Full Document

This note was uploaded on 12/08/2011 for the course PHYSICS 505 taught by Professor Liu during the Winter '08 term at University of Michigan.

Ask a homework question - tutors are online