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ELECTROSTATIC [POTENTIALS ax done i in assembiing - System Ny =KQ- ‘ha More than 2 chaiges- ee _) SSPE Of an pein Of changes oe tor Srifenay you (U =o) Chige ring site Bt No, b-<-u + 2 os =a Theenection: - ~~ aYn region tt ‘ U er: 4A = work done in shifting Vp=- fi dz 4 fiom vo 4 A: q y go * 93 [U= Kade =, =-dV| Far Belearic potential ———_—| lspe o of a unit +e change at a point in Space. dis Scaiay quantity: Sup fegion of Ef =-kQ-— |) kgx = a ccorgnd 2? 4q= 94x + t Acout 4 m7 + > x — x Pr dy oa © Np > denot defined: du= kag x r+ Vez dv = JKQs 4 wx ttrettttt+ > t +5 Acol Th Va-Ne = we fee] w = 2KA in le rR} electric potential denease’ ———__>—_UniJomm e! 7m 7 Jos ef ete ae: eee ae Condition Oer is lan 4o Equipotential Swiface at atl points: ®eF is either Unstant or ZeAH0 EF gi all Polnis of €) surface: Mw RO ° 7 —_—— int iy Bo) iif t Vt t | MANe std= tei, | Maleskd=ad t oat _— 2& com ON RY m A ® he 2 2 3 | ~ 1 ! f I ! 1 I ! -+4 --~---+—_-_] i I I ! 1 1 ! 7 n A~-- =~ tig hiete paree + EF in a region J is Gradient: of Potential in space. For unidirectional, vaxiation inv! == EY zz qd +q BPO moment: B=q7 toa Dipole &- tN, a ater F due _* Axis of dipoie- »>Pporentiat at P due to dipniet- % y= KP tose: a Khe E = 2KPOSO ; Ey = 2KP sing y ‘ [weg rote Ly remain const: + t ig Roly (i (4 Eret =o. S. > yy tt Pot: diff bw x BY Nx-Vy = s Tepupie = Qe xdsine = PESIND co = PxE Equal % opp: forces Not aton 4 calla line: v=-qeduse O= -PEWSO ae Pee k—— ——____» mai E=kq ty Po Tn NOn-UNifom EF. Re x2 Force OM dipole in NUEF is; = AirJeeNeet Potentiat [@=ay] (wrt ©) = GArcapacitance of sy 1 tomuctor, system. “'\) ce ee = %-N = (Artin een A= | =q =4xcor.|3)Pasanel plaie Capacitor’- Pal \ee FE] cad. Go us - = pestis Ly v d xe 4 a Ly : we] — q + Size OF plates >>d- } 8_;—__, nm | jC= 2nEol me thal be 1 re t lel t 5 ré— 1 me } newt T |__| = aa on ‘ ‘ ‘ . Heat dissipation n Charging Qa giovP of N- Capacitor Fore on one pirate due +0 anpihen \F= ee] = q? | Ee a At icy + > Energy between piaies Of capt eLoglY b= Lede” xAd =b elt) *A4 c Tims ) =a ss #=cv wid by bateny; w= 44 xv +1 di TTT} IE =e.) 2k ba b, €F due 10 any one Pate Of capacitor: @AirJeeNeet on ») Posione) Combination = rn Nodat &q- for ©, Gr = Pd Same t—* Cys Olx-20) +6 x +3x =0 on . * al =3e WE ait capa Tay xy a] wtsesy 2 one cc es a c2 14th =" >4y = Cea = 2000S =4OE- i o> a Ce, <6, +o4 pH emmy Lee : 3 Y -2.UF * iT e= ay gn T — 8) Combinatt - be p Gmbination 0} Pasanet plates } Gmbination Of N- plates a] i HY =" Fi 7 er. -- md Capa. dewss X gy —- ‘ Ce. = dg _ extey— @ x 0D 100 4 jones le le |le__}| c}] Nodal eq. of xe 2x + 2 (1-4) +Y(x-100) =O 1 2 3/1 c= eon] ye 3 wet 2 Ye c c a: Qu + Sly-%) + S(q-100) =D q Cyxy = (N-t)c Song 8 ie DTypes 0} Sphencar capacitors? Ye _ ‘ Way coat Ws 11) Susitching Circuits $- rpTRyYyje C= AREoab PLES Find chayge flown nyough b-a Switch when it is closed C! = 4K ea. 4UF our y ht e eas fF -----——--+—~~_~ — Ovoll S. 2E-—x CoH =ctc a + Se =. = AREA y SUF our Filey b-d Ce ov + —__,, J A 2ov y | L purdx+ Ul -20) +8lx-20) =D Sy, NE Cie aed c (staves form > SBP tombinatiin, + 2 =1SV- 3] Nodal Analus) a c aysts Qs = 4tis-20) +2 x15 Gc. pe ~~ Y_| methea of Pot Qs = -20 +30 = +1p.4c AN. distribution: 4.5 uF : 4 que@ sur Heat = \~age eve ee ba +40ue -qouc LJ} = ie Be 2ov 20 ov ©AirJeeNeet 
