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고급물리학II 강&i

고급물리학II 강&i

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Unformatted text preview: Chapter 15 (1) Derive B A A A B C' l T T=2><Bllsin0- 3 6 I = BIl2sin0 Rectangular loop :3): fix?) TE: p>< E (2) Derive 0 —> —> Umh = fWBIZQSiHQ d6 = 13112 x(— cose) = — ii - B 3 Uelect : _p ' E b Eflol eie etci ewe {WM eie eteae %0| Egéttt Why is this Umech 7e Utoml? Wfillié; Emm+Ufimmm= (Nfl§E-%%5HI%HEWE) Umech + Uelect(cail) : :>Umech + Uelect(loop) + Uelect(cail) : — Umech L> Umz .‘ Utotal : — Umech : +M ' B i: H A? Ext Capacitor 2 1 2 ++++++++ WZWZECV Q2 1 1 2 1 2 Z — — : — — ¢ _ 777777777 AW 2(AC) 2VAC 2VAC 1212a gin; FLHIH, OIEJ 73% 2% gear HJEH ENQI%%IHHOF§' <Qufi> thatal: UZZ'B (BZVXA) (1) Derive U: f A - 1d? F (2) For distribution of steady currents, U: é/‘A - jdV Written By opted / Edited By €3th :Q—I 9&4 EIOfI/Kf °=l9—l9—| I'll}: Ef% EEK—W7 EOI 043i 7H9l7‘ —.%3'_ EI9—I i % ¢ 9m. :M1' B1: U2ZM2 ' B2: "‘1 #1211141: #2212142: "'I 01W U: EU” 2 EIanAn U: fIE- d; szI-vxZ-dgzle-ds L> Stokes am (If laloi EE xlfioi M1 7El-OEIE I-il:l7|§ Ell-OE |_|.£ A OIE|._) O| 7ci—?—OiIE §7é0| Ofl—IEf §§f§ Eg 7(fEIOfl/Kf Oa'Oil—fE 72* ENE ZdOIEf- eX) Ef%7Jfl (2) U: f A Ids loop EE 75% E-Eoil EH5H 7i|*._ (Ids aidV) :>UVtOt : fvalumeA 7 dV :> 52H %°E'77i? fl Double counting [d5 A d5=dV tat: 2 vaolume * Bohm — Aharonov Effect B 8t A, which is "real"? A is real field. (fitflgalifOiM—IE A7|- reaIO|Ei gilt.) iquxE B: v x A: v xA’ A'= A+ Vf * Physics of Induction F=q(E+$x§) V><E=—— fieme fF-E d5=——f B da=—%(Flux) L> %E7|7.‘_‘|'=l1 L> F|u>< law Written By O|7|-od / Edited By 0H=H CEILI — 2 — 17.2 329. EXEOI no: %a'eltr fzqfi 3x5) —> —> v><B=O, emf¢0 a Flux law gal 17.3 v><B¢O, emf=0 Flux |aw7 gaaul 9§5517|EE L gflol iflsm Flux law; aguflm gag. |_ WI i-CHXW 9101M 5% EHEE EEE 3d :> O 0 eme EEE 6:! SEE Flux |aw01|k| @175}. 1120; AFlux — ve Iar e >< >< >< >< >< >< >< At ry g ><><><><><><>< emf=0 emf qv><B . {_Q at <EAXj|> SynchrotronOfl EH6102| ZEAfé'Pl. <Quiz> fi-tron 1. Derive (17.7), (17.11) ABav : 2ABorbit 2. fi-troan 8,_F74| 1 i V sz @ 6t 6 2 27rrE= —(BM 7T7” ) 6t 7” aBav_ dP qE_q 3 at _ dt AP: ‘1’” AB a 17.7 Written By oprfid / Edited By 3+th _ 3 _ =qusz qu or bit 2P3 r ABOFW 2 AP a 17.11 rq ABM = 2A3 or bit 17.5 EE 3737 transformer7l- §Rl <Quiz> -'|:- 7H9—l EfllliolEgl ”Eli (Ll—15¢ 7lltl 17.270| @163 M! H * Mutual Inductance (1) Two coils 11 +12 2 () [1 [2 dI2 dI1 612mm? H 62277121? W12 =m21=m * Self Inductance W: [V dW_ _ f— d_I dt —e]— let . _; 2 .W— 2L1 fiW=§L113+§L21§+m1112 E1101 E1271 EEEE 61316 {EM OlII—1II7l E5263. Written By oplfid / Edited By 31th _ 4 _ U: in? 2 1 _) _) €002 —’ 6002 6002 =§fj-Adv= (VXB)-AdV= fB-(VXA)dI/= fB-BdV 2 2 BEL-l : fg7|- boundary01|k| OO|010f 6;. $l9—l 7c§—?—Oll 3» A7l EEI7IE 00l EEIE Zd% EOIE 5:!- 2 i 2— 600 f 2L]— 2 B BdV 1 N 2 2 N2127rr2 I27rr2n2l :— —1 XM ><l=—>< l:— 2M0 (MO I ) 2l2 M0 26002 . L— 7rr2n2l H 6002 <Quiz> L1, L2, m Alol9—l EWII $5M U: §L1112+ %L2I22+m1112 1 2 277112 mI2 2 mI2 2 L2 2 =—L(I+ I+( ) )+ I) 1 mlg 2 1 2 m =—L(I+ )+—I(L——)>0 2 1 1 L1 2 2 2 [/1 m2 ..L2— 71> O a L119 > m2 Chapter 18 Glashaw Coulomb Ampere Faraday Maxwell Einstein Weinberg Salam V E: — V ><E= — E 60 at v x3: 3 2 600 V - B: O . dp_ V j—l’ E— O > > > > Unification I Unification II Unification Unification (E 8L M) (E, M, L) 6 (Electro, Weak) Written By opted / Edited By 31th _ 5 _ lfigalifll ¢g+g 1mg <*X > 1. 015.51 charge7l- 911 ELIE—E HHHHLHEF [EH ' 1 6E v x B: J 2 + —2— 600 c t b 0| am am; 2. SB Capacitor7l- $755; [[H 55 | xp|7go| gilt} C CapacitorOJOilE 01E OEIOI warm Xf7|7é*%? I y OIZ‘J 91M -c|’—|9—| Q94 E'R’g% Ewe-EC} AE or B Magnetic field7l- vi 7335', THE- OI%§flEf 81017.21. T 6E V W = +3 / v —_|-'-'<'5|-7| 7 I f 83 dqu —= BLUZfE- dl=E- L dt E: 3’1) ((15, A)=AM : Potential @147, B Written By oprfid / Edited By 3+th _ 6 _ firstgw : viii: 02 6t2 { $20 A20 fl $20 { E20 320 In free space (charge7l- 815 43—73) 1. V - E20 2 V><E= —E at 3. V - B20 1 6E * Simgle Cases E($» t), B($» t) 1 E dEQU . V - —0 fl d$ —O ----- ® a a a 4. VXB_(Eva—yvg)><(BfivBvaz) _( aBZ 63y)_1(6E$ aEy 6E2) _O’ ax’ax _02 at’at’at 6Ex_ at _O _____ ® =0 a Bag =0 é, $534)“ $35!? ”SE-'3 91:}- 55 134% giro Cf (73-3- 2%“) > {lg—0| Oftl Egg Mg [EH5 free space7l- OH—I7l [EH-E- | 34E éfif ”35% 7P2 5.“— 915?- E, BE §§12| %El7f ”figElm simple caseéfi I—W01 @1742 ¢ 915?- E($» t), B($» t) E=(O,Ey,0) B=(0,B BZ) Written By oprfid / Edited By 3+th 2 VXE=(0,0, y) 635 _ ( 63 63 ) aBy_ 6Ey_ aBZ 62Ey 82B _ 0’ at ’ at > at _O’ 655 _ at ’ 3552 _ atax 632 63 4 VXE ( a 6x 6x 2 2 2L“) aEy 0) > 631120 aEy: 02632 a Ey: 26 B 02 at ’ 655 ’ at 655' at? atax Byzo fl E, 37+ A1; *aiom 62 1 (————)=(6 ——6 )(6 +—6) 6x2 02 6t2 96 0 t 96 0 t L>q(ac+af) 4—>f(ac*ct) <*X > 1. e$EOI figs—ct), g(ac+ct)2I Oa'tiéiii 2- fE BEE—i, 615 94.354? jfl4.01I l—tE éifig 75.43547 94.334? * Vector Vector: EPEHEA EfiiE %E|%t O 7 Tensor: HJlE-IQI fl- ee: E§‘(t/)= 7 ‘7”)(M (7: 1 ) ac —7v 7 ac 1_$2 (0:1; éfl% Hi, easing 0:1: %1 ewe gem err) EEE EQQI Index E7|E1 : xM =LMx (LM 7|-§3.1|$ 343% iLHE Tensor) l—Et OE'EPS“. convention a ZEhE : M (M : 2'9} £3 QIEII, O-l-2-32l gig “EEH 7: df' 1 dacM dacM 4-velocit : 1 = y dt >( 1—1;? dt) (d7) dt 1 fiE'EI- ‘4 :AI'XI-EJOHA‘IE IfllE‘I ‘4 4—> d7 1 fiEEI- dta A_AI|° .341, ddTE MEI‘ (d7)2 =(daco )2 —dac - dac b we 0i7i7i(-) e7 e 0=i7 i7i (+) wage: 0| $§PJ can fit 75w. O| —r§°i xiOIE 9.4 OH EE EH51 xi0|7i A"7|E 74- Written By O|7|-od / Edited By 0H=H CEILI ...
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