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I was wondering if someone could summarize these notes for me - in applied field B , trane on a magnetic moment : T =

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I was wondering if someone could summarize these notes for me

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- in applied field B , trane on a magnetic moment : T = m x B A in - tends to rotate in towards 1/ B - gives rise to paramagnetism - also - effect of B on orbital speed of electron gives decrease in in parallel to B - diamagnations - idea - ( Haton - . model ) te - e (elvxB mo 2/2 r 4TTS, rz - evB ( the inurands ) (outwords )so - magnetic force - > decease in V - > decrease in in in direction L B - magnetic materials - paramagnetic - magnetic moment Jatoms tend to align - parallel B - diamagnetic - '1 - antiparallel - Jenomagnetions - 11 parallelto each other , with B = O ( ext ) B. Magnetization M, and HI - difine M = magnetic moment per must volume dipole m - 1 Du has Am - I'm : 85 M = lim Am[ M ] = Amz h 3 = A/m what many atoms still in AV . 1. alignment of magnetic moments in parallel to Bert = increase in B But I 1 PM Bext 2. net effect of a uniform magnetization M is a bound surface cement 5 I'M points out . - net effect of magnetization M (r) is ( equivalent to ) - a bound sunface current Joh = MX an- a bound volunre current Jub = D/ x M [ A / m2] - contribution to A due to M ( r ) is A ( F ) - Mo ub ( ri) dv ' 4 IT V IF- Ill 4TT S - recall - Ampere law V X B = Mo J - bound cument total arment D XM = Jub density F - define - magnetic field intensity I.L = B Mo - M Mo - DX M1 1 a ie. total bound J = Jub + Juf S $ H. de = [J . d's = IF C S through S ampere law ( for the) - find M L H in a linear, isotropic, homogeneous medium ( In wit too high fields )- lat M = X m 1I magnetic susceptibility B = Mo ( H + M ) = Mo ( 1+ X m )H - > B = MH where M= Mo ( It Xm ) " ur 1 1 permeability of medium wits : [ B ] = Tesla [ H ] = [M] = I . area = wil .. = A /m C. Boundary conditions - at interface between twomagnetic material( i ) " B a , AS M. M Z B2 6 B . 2 5 = 0 => B . a , A s + B . Q, As = d ( B , - B2 ) . a , = 0 => Bin = B 2.n Li (ii ) " Hui" Ampere : $ tide = I free C endosed an H , , at Ish - 8 M 2 C 4 a deap . de I Free = f - apd enclosed ampere ! = > H.. - Al + Ho . (- 12 ) = JSF . ap Al re = a + se In Al small at = ap x Can H , - H , ) . (ap x an ) = JSF ap ap . ( an x ( +9 , - F1 ,) ) = ap onlitany - > any ( A , - H2 ) = JJ Hit - Hzt = JSF

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