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Tutorial_0 - 351B Electromagnetic Fields Tutorial 0 Review...

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Unformatted text preview: 351B Electromagnetic Fields Tutorial # 0: Review Tutorials 1) Coordinate Systems , _ . . 2) Scalar and Vector Products of Vectors Objective: To work through problems Sirmlar to those on course assignments, and to address any 3) Vector Integration questions concerning the details involved in solving electromagnetic field problems. page 1 of 12 page 2 of 12 7>RoBLEM " / : s:ooaD/Nfi7'§ £2231”; Q PaRT/c «MR I/EchR ELECJ'RIC. fibe INTENSIT)’ AT THE PoINT 7,3 (2,3, 6) IN th-nvvoumk Cookbmmzs ..—- H»: 77/: Vn‘uz : E = I20 3,; + 200 1.7 + loo 2.! V/m . (a) SKETCH H LABEL6!) Vac-fox DmeRnH : (a) 1:0 ‘9 E? wmrr IS Tm: HflGN/TuDE of - ’2. E t ‘ E \ = [010)" +(2Oo)1 + (loo)1]/ = 2533? V/m. Axum: E = 215 E . EXPRESS 77/5 wwr VECTOR 5.5 m RELTn/vaumk Coozb/NI‘UF FBRH. SE = g = 12061,. «r 2002;: +1005} 5 253.}? = 0.443 a; + 0. 388 a: + 0.341} at .— IF THE S‘HHE E WERE GIVE/Y 72> EXIST ”7' flNoTI/ER Pot/VT, SHY 2(10, I), IN Tm: 266/04, Ex PM/N can/7 W556 E 145ch5 ARE Cowswcke’b Eqmm. fir mgr: DIFFCRW gun’s. .— E DEF/NED 47’ 73 (3,0,0 1: EqaufiL 73 E 4T 'l 7,) (3, 3, 6) SflowN Asa/E, 57/“: 7M E s it! PAM LLEI. Vaduz: (lie, $54M: SDI-xv“) AND Haw: Tm: sans Harm/raw. PAGE ‘7‘ 0F 12 (b) S'xzrcn mm Latex. TH: cookbuvfl‘rt :«ancc: 1-2, :1. 3, 1040 2-6 77011 DEF/NE Tu: Infllszc‘nozv 2 .' CooRD ml) TE S‘uRmc: 1:2 Q. IDE/VTIF’Y Tm: COMPONENTS of? War fizz ” PERPENDICuLAR 7a ‘7'”: Cookware :uRFflCGJ #7 r7 . 77-1: (04-4?an ilE,’ - 120 6.1 I: .L 15 7’”: COORDINflm Suki-71cc : z = 2 . Tm: “AWE/VT 2135,:- 2005.3 If .1. 1577»: CooRba/wflt Sulfnct : 3 Wu: cmmw 6.1a .- “9011! I: J. 71» Tu: CooRbnwflE sukrnct 8 1'6. 74: s‘or l2. PROBLEH “2 o 0 5mm: mm Vzcma W or ch-roxs W Gum Tu: vs: TORS : [2:51:11‘39; 1-49.i Air-3&3 +3; _C_= ‘63,! 13-5. fl'g = 4,81‘ 1' 4J8; 7"”383 g. S ‘—" 5(a) -r 3(2) + 40) = IO. (6) /0 (fi- g). B.C. +RJC1 + 8:9 0(0) + 2(0) + [(—6) = —6, /O(_g.g) = /o[‘l(-r.)] = ~240. H '50.! ‘53; +lo 9;, 7m: 6 or 12 '— == IF 1‘ L f; + *1 ff,” .1 " =l/50J “ 5‘! [2.25 . PROBLEH "3: 5:40:73 AM) VEcraR 2903:1ch at mm W (:1) if. (5x E). .— C o/VSIDER 77/5 Two Vac-mks F ”no 5. Dam-«ea ._ .- .. IAI I? can-mm REG-ION CF S‘Pflcc .- F = 90 as + 30 £9, = 51-5) + 305) -r 4-00) = o. __ G _. ._ __, = 505. -/ooa_ +2505. . (ExPaTEb,S/Ncc Fin =7 mF: flFyéfib’zo). f 9 {I ' , _ (0.) Fun) 77/: Vec—rok HASH/Tube; /F/ mm /G/ (e) (AXB)’C . AND THE Do'r Beobucr f- g. (5x §)-Z = f. E .-.- '5'(o) “5(0) +/o(-6)= -—£.o. F: /F"/= [ 51+ 5359177“ =[C4o)‘¢ ac)?” (I) (fix ‘éDxZ . a, a: 6., = 5-0. (fix 5) x f: 15x E = ’5 ‘5 lo : max—506.3 , G a: /5/:/ G734- (7; f- GJJl/t :.- [C/fo)1+(-Iod‘+(2fq)f]% o o ‘6 : 308.21 . - _ , if- E: 59, WP = 0(zro)+llo(-zoq)+ao(.1$'o) (3) flx(8x'C). DG 56? ‘ = 3500 . an a? a! BX 0 9- ’ = ”lax (b) Fm» THE ?ROTEcT/0N GCo$o( 0F 5 m E, o O (0 AND DWHINE THE M645 o< BETLoEE/V Tart VEC‘TbRS 0v THE/R Comaw PLANE. ’ — E F‘a—‘FG G =f~észsoo 70. AK(BxZ)= 5' 3 1+ =—939:+355b ; «234:? and F 50 , M '12. O O , 7 8 /2 2766-7oF/2 ”65 or = cos" (10/303. 22) = 76. 8?. . (4") 970% THE Emevs/ow d‘ Ta: UNIT VECTOR a, )mec—rsn mom. F. 62F =£ :7 906.9 +3039, F 50 =g¢9 1236.4, z O.BE_’+O.6€-i’ o 'Pnoe?or/2 #9.. Who 31.5" VECTOR ImeRnTzoN EVALqATE THE LINE LifGRflL (/ flea" .l BETWEEN THE Pom/75 f? (0,0, /) mm B (zllflfl OVER A PATH I DEF/NED BY THE IN7ER$ECTION of TH: Two SuRFACES :7" :6 ”ND 2-1 /F I = '— — 2 - 2" F IO: 4-2. 517 “1+3372 0.}, (it) I l l l I I 7361: lo 0F /2 HLTERNnrme’L)’ .' f"""=fzaa,+5&; +5a.)-<dxau+%+°fi) 1. l 27 LET x=t=3>3xt ’z-/. =fm4, +54; + 54;) Ht): tax +7122- + 5:2 I oét£2_ :1 ‘ 4 d- = 4+. 2 a ”f/Or-JJL "f S‘x'gdj +0 (SIN(£ dZuO) r 0-3:. + t t3: ‘ Xzo 3'6 ’— F-d; = (/Otl ~51", 3t’)- (I,2t,o)olt Barr 3- x‘ Rum/6 I, .-., x o [F JI://Oxdr-‘/5-31cly: 538/ +517 0 3 4 190 3-0 (lat — /0t‘)c't . ff ‘5: feet [offlolt = 20 + (- [06.4) = ‘86.? , II x 0 /\ Nh-L p l H“ v 7’“: ll arr/2 3,65 ,2 W a CCadiwq ; T2) H W ’2 *fi 7” J} I CUR A321 Q1543 9 d! V {=0 ([730 $76 #1 ”IT 217 , 2 5 j fflAé(rAQ§((gm9cLQ) (;‘> @734.) 6038) Q «rr‘ 2r} 3' \:.%Ir) L um ‘ ~ v» , .7 T \ A I; 7.: L522”? '~ ‘ ' V" .3 V C": v :3 If "2‘. K's“. J k2“; ‘ggjj ; ‘ a 9‘ a , . "A” E‘ -- Mt“ X13. 5 \Am “I I i '2: «a‘\ 1;» ’: 0‘ r”"‘\ i T 9‘ 2 ‘3 ‘H I s SMRMCé 926A D? (J \ ms :37. radix/43R Lcixrrw : L ...
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