Lecture 3 Notes

Lecture 3 Notes - 1 Pain} Change, E (r) "’ l/Rz...

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Unformatted text preview: 1 Pain} Change, E (r) "’ l/Rz 2 Line Charge E (V) "’ VR 3 Sheet “Wee E (v) ~ I‘ndtpcnden" 4 1' (See Book p44,“) wt will learn lat-u Hmt inl—cnn‘hj of Mb" 2. i! Prypmh'cma} To E Thu) {or man unimm “than HIan indtPMc/Mf 0{ f {n MRI)!“le Shcek Smarch arc marinated. 3,2 +11 20 ( (1+ inf“ 8m we have ahch deduce] by iflSPech'm find: only ’rhe () campamnt is pmant- I “HEW: M3 Ci? _ Q I IL “Tia ((+21) , +00 I .. P at q Hf): I 43/ - Leomrcz 3 EleCHic Fidel of q Ling Charge. For 4 Point charge (1 E I: L gr InVfiUfi Squat: Law . " 4-1750 R2 How does HS: 11’:ch Var” if errc is q lim charge Q Hum: txknds Mm —- 00 <2 (co Since h extend: from ~eo‘laao E dot; not V075 I 6km? R: Y-Y. .. clE E . l I "’ ach Incrci'ncnm’ engrh cu;z alz' produces an increment-a! Confvibuh‘én m Eu) Ulinq Coulome law for a Point than“ as (r): QLdz’ U-r’) e - .._..._._. 1 __._____.. lf—r'] meg II- [’1 E‘tchdfi Flux "Damn-x1 ID We saw {hat a charge Placed at I'M Cenhr (origin) excrh q radu‘al force ficlcl I elecm‘c fie/cl {nay}ng ' mm is proportioan fv fhc Chan]! 3) which is For SimPliciM assume HM? anh Caulomb 0‘ chargc has on: electric field Hm Painh'ntj ammo} fwm “- Per m . The field “nu l-crmiml‘t / Elethic Bald lmu On fhc surface of Mg innu sPth bl: ____Q.___—_————‘ q " 4Tr a7- "" ha R'l' Hm swkct ol +he owl-u S‘Phuc N = Q 9., [:b 411.31 for ‘15 Y 5 b :D m : 5’ 9... .. 41Tr2. r 7 b J>=o No field line which of- cum spare, To-fql Electric Flux 1) (H : a , ~ 47111 Then Q ; Charge Coulome = Total Flux - +0”! fiat ck:ch SurfaLe. u} 3-5.2. Cir 'L D (11 4—TTr : u) - Flux densirq x Arm - Fm)! ‘2. C/mz m Charge Canraimd inriale From Coulam '71 law g: 0/4112“? 9-1" as“ ‘3 From Def—3mm)? 0! :9 ? 1 G(/4-11‘17‘ Cir Hence I for acne SFqce hem/LU! ‘15 r5 5 :P 1 £0 E qml : F/m V/m Example '. Find fhe elm-tic Vt: Snclm ‘t E: I) (9 flux chum-:1 near a line checqu along :2 mm fmn woe five-co 21120 f "3’ Gauss' Law ______________._.. Electric flux Passing fincth an” clonal surface is Equall‘b _+he "bfal chargg enclosed big that: Surface Charqu 'Elc mi; 53:24 ang Elemental Aveu LU m. emm'c flux be U) [I ’rvfal charge 1'! G) flnn Q Caulambj of electric Jinx (Q: W) mmt PM) WW?!“ 9 Q The elememal Surface A§ Ag ‘ “n has bokh Cl magnitude 9* Elemental and direction ' Furlme The direm‘m 3; given by a unir mm 61,, Normal ’2’ ram 387 The mm m N “WM “mmml MM”: - :D . AS ALP. ,5 _ :. - C! ( Dsmomal h + $3,“!qunflql't ) ' As an . A5 Since a? qnza " .3 human! . can. an: I ‘Tofa| Flux W: 2 Q 60115! Law Cloud " I (’v on; Sudan v S 1' 9L = H, as s As long a: Hm cloud Jutlace contain: V.S 0N, l l l \l \ guppase Q. C pkun at H): Origin d9: fzSiI’Ie d9 gr SPbcficalw-orclinates AW 3 PS'dS 3 Q gr Minefield: qr 4H)? at W : 9... Sine d9 cl few [do 4" cf» 0 0 Q o - 3w; Applicah‘m of Gauu’ Law §Ulppou charge clenqu 01 m, 0 <2 <L E. Onllj 95(9) onh’ We know *hal- Chem (4 (glinch a: a Gaussian Mfume <32: 6 95-4; Szcglindu = J + I * side ’mp : (D3 (39 Side WMWQ‘ ‘I’P zrr Q: Idzfdcb (D5 0 0 D5“ Q/‘2'rr?1_ and f ban-tom balm“ Eu) .- 2 W60 P Anofhu Examp’e o( Gaun' Law an I (Io-Axial Cabu. / d I‘ehmi c but for now vamu 50 Conduch‘ng Cglindcn . Once again ngmcfly ctmfiduab‘ons 9’” E—(Q) “union 9(9) ant”. Choose a cgh‘ndh‘ml Gausu‘an surface a<P<b Q: (£1): ‘ QdGOI? 3 93mm: DJ h: be commnt over Gaum'an Induce Where G, 1mm charge on the inner canduavr- : 13$ ZTTPL if 93 is me surface charge Jam’s] on m4 1mm Condudw Q: ()8 QTTaL. Thus I): ups/(9 Or 1):: Cd’s/P g? a bwfi' Whm ;; DS amiside Hue aum cglindu? EVcr5 lim a} electric flux starting from the inn“ Condu aw vain am on Hue :‘nnu Jmface a} Hue Gum cglinder- Guam: ” QM” = o 4:) PS qe ' Wed? 9( 3 0mm; G[inmr S autoide 1"” (ml-tr came!” 6 H O ...
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Lecture 3 Notes - 1 Pain} Change, E (r) &amp;quot;’ l/Rz...

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