1_1_01_Coulombs_Law

1_1_01_Coulombs_Law - Charge on jingle cltcmm '8 6X10...

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Unformatted text preview: Charge on jingle cltcmm '8 6X10 clccmm s ’: 6N, Q1; a N2 F : '4 Q1 QZ. _ M R2 - l k ~ /4Treo - .L “(3‘1 90* 3m Elm Ptrmikfivnfl of FYLL Spout -1 e: 1-6):qu C In I Q “7M6 ("5 me : QUE—)3] k3 ~15 Y : 3-8X10 m Vecm Form a( Coulomb: Law *2 = (ML 9% S‘mu 5+1?” " 2 4W 5” R = ti‘r' Q 1 -z/ ' ~u ' “32’ 1151.1 ~4 Suppose (it: 3x") C at M (’1213) _ ~4 Q2” “‘0 C, ah N (1,0,5) H rz-Y, = (“mu (02)9g + (s-zmz, 2. 2 ‘12 : (1+ (—2) +(2)) ‘: 3 R .. J. a~zq +2q “2/112”! ‘ 3 {—x «1 2) ___.Z _R 4T1“ 20 RR ...4 --4 w M 2 I M”? 2 ————————-»- 4Tr x 3-254 x152 3 3 *30 ( (1X "Zciil:2 ~2> rs] 3 -Io 9X +2.0 017 ~ 20 012 ~:2‘Z +l0 Cix “20 01‘1420 92. Electric Fidel Immsihj E V°H5 /m a From (Eulombx law ~12. @ IN-n «5 {a :1 g» 5? 2° N Then +he eltchric field ( Fame Find) clue m G, on a unif charge is defimd as M..._A, E(V/m}1 F2“ : 31...“...— Ci .1- “'1. I). Swami!” SFeq [(1313 m1 1 9 D H m .0 Coulomb: Lem) and Want Field InHmIn/t charge (32‘ is hot at "16 Carmian CO‘Ordn‘naI-L Warn? Wha+ 3! E a? a Point 6, r—r E (xll'flf): .W N._____... ___‘_‘__ h 4" £6 lf-I’I’ 11-1" (r-r'2 lY—KIIS C) (X~>I’) 9x + (y-y’) egw‘ (2—2’32i Wfl. z “‘27 ( (x-x'w m 2 + mm a Coulomb; Law (Continued) ‘- If one Of {he changes is qt H); cam-tr of HM Curttsmn cowrclinavtt Inst—cm *hcn “’6 xlq’z component: (rather Hmn r Minimum) can he {wnd’for §(X,q,z) 1 C91 (Xfiitz) ELxlq'z)_ Fz/Qz Q] ‘r E”- G" 1. i321 1'5 (1" " «Urea (X+L11+22) 9+2) + Lynn “a ’r z ‘52 Elecwic Field at Anzj Paint F (Xflfl) clue NJ I £‘ht.. oz n» -2 HM‘HPIE Chant“; '. G)' a} [I Use Principle of linear Superposih‘m '- ._®_‘._.— 2 g! 4' L 1 4% [FL] 411501142! 92. we can generalize ’rhis +0 include n chargu n 61m Cl," Applicab‘on o{ Principlt 0! Linear S‘unPmman P+(l'”l'0) P, (1,1,0) Who} is fine clccln‘c fie/c, glr) du +0 four idcnh'cal 3 nC charm; lacaucl as Shawn? n 62m E (t) = Z W 1 am mu 4néo '1‘”!an Le’r'J fink Wm: dawn Hie Warm Y” * I a + t C: + I .. X “‘11 -2 r . - ( Cl 1* l _ : lr-’ I I “X r --z I - “)1 I r : “1 cc 4 I )r- _ I ‘x 9‘»; [-rz- 19,392 - tat-J; Y 2 "' 9 -‘ ‘ C1 r-r : +2 - : r ' C4 1 ‘1 W2 I I W - ' —x " r_r : ' _-Y : 5 4 ‘1 _ 4 26.1,, kg; .4 Linear Supuposih‘on (Canfinutd) 4. G) q E h) ' 2 m z m n1;| 4fi£0 . “‘1 BEL... - ELEM HZ :- 2“; v/m 4TT£O 4n x8-854x10 EU 2 q I La ‘ 79x “‘2 : b“ + H -) MW ' H‘s)‘ w;- 4. 1 ng+297 +612 (3)2 3 -l- (h). 2911'} C13. 5 «e Collecting 1—:ng in 9" 9'1 and q .- : E-zq + 6-3 . U!) 8 _x 2 qw+3zng V/m Conh‘nuom Checqu :Dimribuh‘ans . So 5m we, have been Considering point charqu. In realihj wt have a Charge 62 Hun Occupits Q ceHajn volume U or Yen'ch on a' swim: with arm A or is clim'burcd along G Wu If!)th In Such cases if is useful fa chime 4 Charge dens'h’l () Elam . Bean Uolume Chara: JDensmj , ‘ _ A62 H A ' if; 53:}: 0 V ) :C/ In? ‘ \ A v AG Q5 ' Ohm AS 70 Lne Charge Eat/1:119 C/ A6) @/ 0.00.... ‘ A “77 EAL—7 Q1, Ju‘m A-L—ao 5!: Using “)6 definifiam 0(. charge densflifs '. j {’V cw 1' G j (’Sds Q I 5 wt Q L jay. éjdxdgr 3 (Cube) For a Sphere Sdo'; grlsinc; deolc} clr §dy_ J fiswx¢ ded4 Munqu the demcnral Surfme mm H a «Li: Qdfole €12. Vec’rw Quanh‘htk } as @442 9 For an avbihanj flows; 9" will vanj depenJinj on Where *he eltmene is chaxen Example The Uolume Charge densnt of an elecmm beam Q: ICW) and 2cW\ Mng ( §ww1 2: 2cw1+v 2'; 4am) i5 git/an bg Q: _Se"'° ()3 [‘C/m's v 4~ How much change is a beam Conqu MA in such a beam‘ 2 > do: Qd€d¢d2 0-04 0‘01 zn' “10562 ‘6' Q: yew-— x« J m [-58 v u 0.02 0 ° w.y.+. 4; 004 0-0! _5 _IO+S 62 : Sd? J~lone (ole 0'02. 0 W-Y-+ Z S' 0.04_ I 3 I .4000? -4-ooaf 6 g e 2070 4000 .L + i» ] 2000 4-000 —L IT :1 PC zm PC micro nano pica 9mm Q Hi) ...
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1_1_01_Coulombs_Law - Charge on jingle cltcmm '8 6X10...

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