Tutorial_1 - 35/8 ELECTROHHGNETIC F7505 TUTORIAL I...

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Unformatted text preview: 35/8 ELECTROHHGNETIC F7505 TUTORIAL. #/ : I) Ewe-rm (H4266: (uRRENTS, mo Tm!!! Dan/7165 Z) ELECTRIC & HfiGNET/C F7503 IN Tan: or THEIR Fame: 3) Gnus’s Law Fax ELECTRIC FIELDS INFRezS'pu-xe’ ‘1‘) HAPERE '5 C1204 27m. Law w FREE SPACE PAH [cf/2. PROBLEM #l.‘ ELEcTR/c Cfiflm CuRRENT: AND W TH £12 735”: 1 fit: . m (a } Fwo THE CHflRGE g #1906 THE S'PflER/(flL. VoLuME PEG/on of o./ m 2,413qu [CONTAIN/N6 THE cunmE DENSITY 9V. = :20 r @529 C/m’. (Ii) (M3 75m SMERICAL VoLuHE R's/cu I I: .swowN ONLY IN 77E HRH OcanT. JV- = (153.19 drdG d¢ 9v = 10 (40529 C/m3 (INSIDE) (x) , } Z=f 694V. =fl (ZDrcos’S)r shfidrdfidgfl ! = 29/}:3 Jr/co: 8:..1649 :2" 9‘0 ¢‘° L (4.: ac»: B ‘—’7 aloe: 33:19:18 6 T 2‘ 2H“ / M ”’ MW?) W a - I 9 = 2:0? MC . ‘——_—_ PAGE 2 OF /1 U9! H WHERE 0F imam: = 5cm x: COVERED wrrH Lt) £1»: ELECTRON 85/?” 0F 0&qu CRwJ—S‘ECTION THE SuRFflCE CHHRGE DEA/3:77 (D, = 2402:3529 C/m’: / Mm m Diana-ER m n Cfi‘flfoDE B4)! 72735 FIND 77¢: 737741. CHARGE o” 771: SPHa/CflL SUPFfiCE. C CRT) HA: ,4 HE/r’SuRE'D CuRkENT of” 04/4, G) (”-3- THE 5291-15?!an 5““"7‘5 ’3 4m: x? kNom/v HVEPflGE flea-RON S‘Pasb 0F , sfiowu and IN THE fiks‘r Germs/7'.) /o 6 m/s CflLCMWE THE HVERHGE CHE/BENT . D °‘°5 0’5 = r’sm 94/8 alga es .-.- .1740.3 c0529 C/mz (ON Su RFflCE) DE/VS/TY mm 04an Days/Ty /~ 7515 2‘54”. ‘— ao: 3) 0.05 [ (1) , I ‘Z 3/6.: 0’5 =fl 2-lo’zcm‘0 Fz$in8d9d¢ ; 5 . J" 1T 217 fisscmme 4 CONSTANT CuRRENT DENSITY, 5": 61:32, 1' (r1) (2-10—3)/C052552nBQ/9 c/fl THE" 0.0! " 9=° gm ? . - f L=/J‘-d§ =/(a,:r£).azzds = J; cl: LET = «058 :7 a/u.= sinQJB J J‘ +/ I .f 5 _. 4’ zc/ _. '5 ‘ 2r -3 cl. 5’-/o (211)/ (L a. - /0 77(3 % °~°°°$ mix/0 3 z = _. z =—, 3 Jeff Papa/5a - 3; (MD/2]?“ @20 9’0 = 2.0?x/o”C : 20.95C . PAGE 3 OF ll 7/765 4/- oF l2. 0.5x“) ' z: 3;“— (o.25 no") 9“ g_..w___m;’ flREfl or A clams or Emu 0.5mm. ‘_ 2 =3? 3,; = i/OJs-rr/o" = i-Lo_‘_‘ = i fi/m’“ 77-10" “(T BRT, __ __ __, l]- - .3 J'= Q; => 9;. =3; =—TE——-—_ JL‘ 1 V‘ b .m PROBLEM #2: ELECTRIC Q ”flan/£774: )3ng IN TERMS oF firs/R FORCES FM ELECTRON, AT fl Sax/EN INS-mm; Has THE 1/me i7" = 34059.: + 4-105 9.1, m/S‘ AT SOHE Pox/77ml M EHPT‘)’ spec»: . Hr THAT Pom/7: 71/5 ELschIc & HAGNE-r/c FIELDS ARE Known: 725 8’5 E: 6‘00 5* Wm .— Z 8:- o.oc>5<3’. Wb/MZ. Fizvo T35 Tami. FERCE 9 Hc-r/NG ON THE ELECTRON. 2465 50F I]. r--__ Hf : __3__: PO‘, hi; 1) E: 400 a? V/m 35 = o. 005 5.3 tub/ml use 77;: LORENTZ FEM: Law .- E; g (E— + Fug) = (4.4. x/o'”)[‘loo 5-: +6213 ~r 46.2)do‘x 0.005511] W A ' _ z' : _/,'Q& R CCkaSS— ham-(CT) - 1 CL"- pad xl/ : (— 6.4 x [0-]; 6.2) + (-Lé x/o'")(o.oz a! x 6.3)“): ‘-—-v—-" z (32 ax — 5.4a?) /o'”/V, 33,455 6 0F {1 raoomn 5. unuss's LAM/ flax twcTR/c FIELDS w FREE S’PncE 0N lNF/N/TEL)’ LONG CYL/NbR/CAL CLOUD oF Rab/us 9 = a. /~ FREE SPHCE CONT/41143 THE S‘TITTIC , Luz/FORM VOLLmE CHI‘IRG-E DENSITY ev- . MflKE use OF SVHHETRY HND Gnun': Low To 037nm; .' (0.) TH: £LE<7RI< FIELD OUTS/D’s 7.95 Cu» (971). (6) 77m: INTER/oz £2507?“ Flea (fixed. E CLOSED anm/v SLRFACE Page $1 oF I). Ca) (J7 <1 (OuTS/bE THE (Local) oF CHHRGE) ExPan THE GMS/HN S‘uRFflcE I so wmr rr IS owmoE THE CHARGE CLOUD. Been SVMME‘I‘R)’, E: 5‘95?- G-Auss’s Law BECOMES, ' (€,5.E)-’5_JS = VCJV‘ 25/? f' 9 e [9 (WW? No max Tumour WPS 5; Z .5} f) E CoNSTfl/‘IT or! 5“ Z; 9 I/ z? $.59de: R" Civ— 57 9V CONSTHNT TIfRooGdovT V. v . ”—1 ‘ J‘quncE flREA oF Vauqu oF Tm: <Loob 0F curves: A LENGTH 1 OF THE ova}: fl L51~I£~Tfl3l of TM: 0—0360 OPEN CYLINDER S} . CYLINDER S’: 2: 5", I 211’ 1 2,7 => QEP/f (Do/4:41 = ev/f/ e4€a¢dz 2:0 ¢=o 2-0 47,.0 ego €°EP€£2TT : evngT—e '?EP— zfl Z: 9 :> E: H 6.95? 61, 9,03 J (pa) Zece PHGE 8 0F 11 (6) (3(0. (ms/DE THE CLouD or CHHRGE) $4M: PRocEDuRE 4: PART (:1), ExCEPT Now go] nu. OF THE CHHRGE (om. BE CoNTmn/Eb Lu/THIN WE Gnussmrv S‘quME‘j I‘.e., THE Gnu-31M Sum-Ac: IS AS A»! THE DmeRAM ON Rm: 7, INSIDE THE (Loci) OF CHflRG—E. 0 eoEefds = 8(de s; V Pm: 9 oF 1). H5105 : JLth-WCE flREfl OF AN W CYLINDER OPEN 211'? X -—-> 2 => 14 = 27T<ofi / OPEN oR , BY INTEGRflTIoM .- H=f d5 zfyzgdgadz ((3 cp~srmvT./) ‘8 i=0 ¢zo '—‘ QJTQI // ASIDE : Vouuu: oF A CLOSED CYLINDER * AREA = 1m} 1 I 0% I =) V: ITTQZ OR I 87 INTEGRATION v=/ a/‘f' “ feafgcgaz = my 2. 2: 9. 2:0 $20 Q“? l = 11m // 849.5 /0 0F ’1 / I Noon-cu I - Hart/u: A kIKCUl'IHL an IN f-Rez’ 5P/KE Us: filme‘ke’s c/RcurmL Lmy 72> Fm» THE gnaw oF THE s-mnc (“REE/«(T I w an ”Wm/72?, STRAIGHT, RauNb cums 0F Rama: 61.. FWD E 30TH /A5/D€ AND 00729106 THE w/RE. AZ flnPERE’S Cmcwflfl. LAW FOR S7797“ CuRRENTS: f£.d’=l’ By s‘mnsrky , .— 3 = as» Ed?) i Pug-E ll 0F 11 I /N .1, 1.2., S‘HRINK 1 To 35 L.:[5-c/§- msme THE cut/(E. IN Tm: CME, 3:1?3} 62 fl/mz, (IF: die/J =51 eafide. 211 211 9 B a! = ' . ’ ' ' f—ie 9” ff (1—3592) W19“) ¢:° 4)“) e’:o =~73 2‘rr:I(2~rr)z::Iz #8:,01' .9 7w 1"“ 754‘ " €31; B: 5'70 fibre ) ((2403 21772.2 PHGE 11 0F ll ...
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