Electricity and Magnetism II
Electricity and Magnetism II PHY 482
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This 20 page Class Notes was uploaded by Quinn Larkin on Saturday September 19, 2015. The Class Notes belongs to PHY 482 at Michigan State University taught by Staff in Fall. Since its upload, it has received 36 views. For similar materials see /class/207635/phy-482-michigan-state-university in Physics 2 at Michigan State University.
Reviews for Electricity and Magnetism II
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Date Created: 09/19/15
P11 EiCSASUthmZ GI adllal39luu Reception Areal fun time 315 PM Friday May 8 Room 1400 u v graduating seniors friends family and professors Introduce your parents and grandparents to other students and your professors Graduating seniors get a departmental certificateunofficial diploma Final Review 2 1 4mg Final Review 2 Rev g m aarng D9 Nogh cy agfm 6 39 Defam 939 Mag 44 5 I 0 9 zmw W324 0 Hawaii W5 1 Mame HI 6 o OLg 3quot o ma a LHI39JH Iquot my I 22de Ns ms Ezrm m 9 41 Wquot MarI Final Review 2 4 The magnetic eld of an electromagnetic wave in vacuum is BXt 2 BO icoskZ at A Show how to derive the electric eld in the electromagnetic wave Then answer What is the electric eld B If B0 0001 T calculate the average energy ux in this electromagnetic wave A c Boj cos lez wt B 120 M W m2 R5VMVM S Final Revuew 2 H quotF 5 A large charged metal plate is at rest in an inertial frame F where the charge per unit area is o ie 62 on both sides or the plate The electric eld is 680 k above and 680 k below for positions far from the edges Now consider a particle mass m moving with constant velocity v i at distance h above the plate ie its trajectory is xt 1 ti h k A Calculate E X t the electric field in the rest frame of the particle B Calculate B X t the electric field in the rest frame of the particle 111 5 2 mmrianf form 39Ulllpulle39lli farm Il L 111Fquot quot IT EU O 01 817W I J 0139 l D 00quot i 0 firquot 7 0A 0A Flu 0139 ch tlp Z1I1E u x B IEIf qu E V J 17 V E 60 V x B 12WEdf 110 E 7VV 7 BAEh VBD VxE0B8r0 BVgtltA Table 123 Lorentz transformations of m rio us quantities The inertial frame f moves with velcwity V with respect to frame J The components denoted H and J are parallel and perpendicular to v Iquot 71 pr quot2 III 7LT lit coordinates 2 1rf39lquotquot lIC39 I Tr ll ll 39l fl xi Xi Xi x1 energy and momentum E E Pp E 2 ME 11 Pll flPII K39EC Q p1 7 11h vE c2 P1 2 Pi 1i p1 velocity all 11 l l HUMC2 u 11139 Ul l u1C2 u39i 1739ll11 FUN392 ui 17u i1 139u39H32 electric and magnetie elds Ei1EJ l vgtltBi ELgt7E39J vgtltB J Bil 3 Bu B BL 7Bi V X Eli392 Bi 7Bi V gtlt 6 As a model of light absorption we ll write the permittivity of a glass material as a complex parameter 8 81 i 82 An electromagnetic wave propagating in the glass will have an electric eld of the form EXt Re iEO eiquotZ tgt where Re means the Real Part of the complex function Starting from Maxwell s equations with D s E determine A the wave vector and wavelength for given 0 B the attenuation length of the absorption 7 A review question about the radiation of electromagnetic waves Wh is the sk blue Final Review 2 9 Rayleigh Scattering M WM W 7M Em lger P 7222 WED 3C3 Wu 5 Wele 73 PM hm Mw kc lbw Wu 050 2 gt2 mm aw m7 1296962 A w 7wnm N C 39V f5 x Ia wu v w ou hm a 35311 MCI u rdm MP9 awry m if MM 7350 a a nvj M 331 9329 994 Mm u w A Cv fo nrs39 Gmm4 Wm m EH gt F519 14 s LMEH E at w 3 a F IWE amp Film A EBB 252quot Ferromagnetism 9 D amfjm 39sm r v as 53 51616 Ym 16 x10 4 quotPam x0957 531439ng q a 39M a u r a a EgA1 x 721 x 10 5 n RYYO mamxi H gt x Lecture 95 Maine5h 39Dmarh 5 92 344951 4 haurmtc M Zej ar of quot01 HQCHDS cc ot39c M67220 BURL 14 Jamming 4 g W c Gabies W C 3 l eXOAAhjz mkr dsh dllr 4 fuah m Mdjheh c Jaman A 27 ff rPornHIV i i WALL v N 9 H 49 H 4 mom lfmpeW W E 0044 717243 Z712 razan L ml 3 M20 429 79 wa arQZP e 09 ILu fn o 7144 039 Micro frami A MIWQVVZC 54W 1 134557 domal39hr ramlm IrEmqu39a 5 5a u 7 0 NM 4 a WM 0 7 IDWQI I W More m fhf 7W Zw my ppmmr r ry39nk M 45 MAM2 47 time wmdmgs 4 95 I I39M H Z r A j H ALL Z r AH My AIg 2m The Rowland Ring for measuring B versus H ewfz ij g I g H d 6 AB A MA Lecture 95 secondary 39 wmdlngs MM galvanometer 7573 7 p4an carmf If Creek a 3m M zLz flyv VAquot 1 c4793 a cam A O rem AH 014 45 WRCC 9H 8 Veryquot H B Magnetization Curve of a Ferromagnet B B a 5 Br 0 1 A o d e C HoH BS saturation field all domains aligned Br remanent field permanent magnet HC coercive force static field required to demagnetize the sample Hysteresis Loop The energy per unit volume supplied for a cycle abcdefa is equal to the area enclosed in the HE plane this is heating the magnet Applications Lecture 95 4 Permeability B p H For a ferromagnet B MH H Relative permeability Km a FL2 A BJQHQD 39L MED lgQle oquot I II I I I I I 02 05 1 Z 5 10 20 50100 200 5001000 H Alm a Supermalloy b Mumetal C Iron Ni79M05Fe16 Ni77Fe1SCu4M04 Fe Lecture 95 5 Exam le Consider a cylindrical solenoid with a thin core of mumetal on the aXis of the cylinder Determine H B and M n 200 turnsm I 01 PC urrent outward 00000000000000 a Allquot b 1 z Mumetal H oooooooooooooou Current Inward 8 3va I 1 Hz 2 75 AMPc gm 9S 1 L 2 11 I H 771 liarLia 72 359 I 1924p 4 71 an H 27 Mathew H nI2o39 Wf 20 B HDH 203 0 9 r w H O 36x10 N44 he 2k 922 Curve 5 Ho 6 FA gm Shaw m 3 7147 2 I741 gt e m39w w f7 2 v L3 9 v1 a39SMu W F Emo 39 We E Versu 1 ag r 311W Mad 3 8h 4 M nm ML my garAw f va W My Lecture 95 Example Consider the iron electromagnet in the figure Calculate the current I such that B 1 tesla in the gap w 1 cm 95mg 642 NI 9 3L 2 L w Ageawquot H 2 PEEK L 9016 74 far He 39 frr xloq39TTM A BM Con614 5 Ba 2 By 392 T 8217 ltgt 555 ov4m panama quot MW39C x 6 mmJ ErJ 0 34 8 3 PaEgacaaAaI 32057 gt Mfs 4A roe 4 70 r 3 ZAiL w W 439
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