Energy_Potential - Lin-0:255 Energgj and Potential Ah...

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Unformatted text preview: Lin-0:255 _ Energgj and Potential Ah P /Ufl” Chargt Hi We, Saw Hm” E 55 ”)6 force an a Uni} charge (fl/c) ~ Glut TD Charge 62 " .____.—«—-—- “R E ~ 5‘ a ” 4n“ EOR'L Clcquw to move Hxis Uni} +vc Charge ivward G, w: mun do Work Convweh1 if ”)9 Charge is moved awag fmm Q ”N field dots fhe Work Tm incremental Work 61m: in Mal/inf] fht um'f Charge a durum d}: is dvv = “ E'dE What flu ~Ve Sign reminds Lu Thal- Wt arc doing Work in moving fhe Charge Special Cones l) Um‘r Charge U WWI/Cd Q d": distumc all; PC’FCMMMV E +v 5 AW ; -— E-olL :- 0 Since Eah" 0’5 we Lr' a Lmir charge ‘13 mono] 3n 2) (i a claac [WP lenqrh ‘L Then w: ~ I? 4E e a Work 010ml ‘13 independent of fhe Pam mken Let's lOak an we work Am in Wiring 01 5:3 Lmil‘ +vc Charge may an in{n‘n5H line Charge- Tfme an five simple cases I) Moving "It WIN“ Charge Yadiqllfl inwayd in Ha?) CCU€ d} Trafg? m- b —— ? ‘ .. AW 2‘. E ' GIL : + L d? a a — *u ‘ 211‘5 f) mama) o , PL w - + I Mme 94 Emma 0 (a) ”- Q + Lth/a) PLJM (/19) 2W6” 2TH, I ‘ 5" 2.) MOI/Mg HM “mt ”MUM in Cl circular Paflq4 Now we define the Fol-enfial cliflcrence Walk Chm- in Moving ”H Unit chum: 5362110 Called fhe FN—mh‘al cliNercnce. thlv is ”M Par-(«M5611 diHUCnce In Moving. 4 charge {mm a 111 b in the prawe¢ Pom? 0} q palm Charge G, 7. ' : -‘ E~dL inifial Fi‘na' Aw " ‘ ‘ C “—7 o _. _ & é?!- m‘el - """'""" 9. pg ‘ ° 0" b (Fm!) ' 4179’; r/ r .b '\ vfaw=w=a -1..-_L (Caul) initial 4-1720 b r41 initial when Yb > Ya, 5.5 The poth‘ql cla‘ffu the e --) as mm b and: 17: imam», l/yb—i' a 90 HM 2027 Poi-cnfia’ Pam} is clear!” at trying Ohm 14 3: mom mom] fv mccumc +he Port/75a! ‘ W'M- Sum; nfennce Fain!- yhich. we cqugy-mnd" Which mean: NH Path'al 0( I‘m furjaot 'Nga'm 4 “LL Lavfh - The Pol-mh'al Field (If 01 551mm 0? Charges ' MTG. r" ”ml m” a ‘ lf MEI-tad 0F Jo‘screk Charge; we have q 50M" - diJhibhh‘t/fl? volum Av containing a volume Charge , , (2,, 0h; V“) 3 I ~—-———————--r—" V U) -. J ____________,_. Volumt charge ' 4w, I?!” dena'nj _ , l‘ charc - F 0” IY-rl '"8 a K L » / 47750 " ' “ await-u, u ’0 6-- SP rfl Ec' ui P° Hnfial Sarina: M” Equipounfial Surfaces are. 100' 0{ Paint! on Which <6; J(he Poknfial is Constant. 02 > E \l- 140 , $0 7° 50 5040 V : " 5'5}; AL 15 direcnd along Hug Surface of flu. eqou'fal-wfial L - ~E-AL 2. o by dtfs‘m‘h'm AV I - ._ .. , equipoI-cnfial is given by] Poten rial Grqch‘en {- s-q We 5cm! Hm!- v= ~190M- if AL is short Such than E: is Consf-anf along};- AV:-E-AL : - EAL case 1‘ d1 7. "‘ E €0.19 "n A‘s-0o 0“- E‘ Maximum Vallu 0( ”M Pflhm’g‘g gYaclitn} i! When C016: 1 or 6:0 when E and dL art. Canintqr IQermamber 9-30 V- opuamy operate) an 0: vecm and (and; .- ‘VJ Ct Scalar quanh'h’l 391'- $.73) : a, V OPCVCI‘I'UY Orifam on Q SCa’Qr “Nd lad) 1‘0 a View C(Manh'rol .- Y V -; FE DEUCYgznce anal G'aditnl- Grammy: . VV 53—! 3x + Q! g5 + £95}! aZ 3x 3x a meu V-D : 2.1.9" + 3.39 + 3.13} ~ ’ ax 33 32. UV 5.))! a + L ‘21" 99b + ‘1‘! c3; " " L be e e u , €51,an 3 ...
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