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=D ci[eSAYA, U ot} Dh j2ac[, que rJwp 350 gv Scanned with CamScanner CH-1 Eleche Chavge & fr elors Electric fred due to dipole !— xial p ogition.— yo wi K * > oO Df /e—__ «- 4 ———I ec “+L A Considey an €-D: Consisting of 2 poiat Charges -yY and +y which are Seperated by distance 22. Neb Electric Preld . Ene&e= E2-61 Here, Sy bho 7 RY fOMGD (eray® (H4yt (2t=a4e Ener= Ky - Ky = 2kKPX . ne (#-4)* (etay> (08-8) Dd ( p=4x24) = ky e+ +, >), P (e4y> (er) Generally 27 = Ry f ery’ Cena ] Fn= 2KP (20-4)? (2chd)* x3 ° 9 ee | - (x- 4*)* P = Iq jee Fret = _ ’ Le ~4')* TSo Scanned with CamScanner + Torque on Electic dipole placed in Uniform Electyic Neld !— a . When wo equal and opposire forces , uhieh clonot have ame line 7 = , ‘ , 1. de action. Then, it will votate abouc'’s own axis (To "9 uc). Fae L sind -—--pyf-)-- 4--- en ba ave ‘ a ed qe . vs TT +Te2 = Fadt Fad = ye(ssiad) rye (sind) = aq ersind t= pesind (02V%>) Pe PRE oy O= Angle bet ekE my Case T) when Torque 1's Mag”! — T= PEésind (6=3 0,270 ) wb ao ( Scanned with CamScanner Cage IL) When torque te Mint L: Pesiad ° ee” Fao | ( 020710") Sto ble Equi libviuen Unstable Equi libvium —O2——_ 2? —&—O=—- ye e ye 8 P ve = 0° 8 =1k0° P IE (same di-vection) PILE Copp direction) Scanned with CamScanner Total Curved surface aved (A) 2 onrd Linea cha rge dlensity : — A= & ot | Y= J | Pub AY ney E(ant) = Mt Eo E=_A ZN Eo | Scanned with CamScanner 2) Eleetwe field due te a plane thin gurface indiatte sheet of chavje:— Thrs fg: nehema dy ‘the surface charg ¢ dieha" over a thin lavge Sheet- The Surface charge density for this Shed in & Here, EF is perpendicular to ‘the Suwdare. Gausstan Surface :- Cylindericel , #0 Nek Eleetn'e flux! — b= 9, t bot Ps o = feaa Cogo” + feaa C080" +feua CosSo d= fear +feda +o b= EA 4 é4 0) = 2€4 (D Surface Chase density :— T= %q ov Y= oA —-@ Scanned with CamScanner + at + } } + = r + BLN + at +, \ . 4f Ve + 4 +\\ Je FY + AN Wy ¥&S + eee pt tee t tat Hollow Hollow conduch' a4 won- tondlueking 4 re\ . + +) Non Conduet'ag / 4) Dieledwie Stic + Ts gphere- Scanned with CamScanner EP. due to Hollow COndu ching | Non Gnducking ) Sphere or Solid Conducking aphere: — fraugstan Suv fate _ spherical. Case T) Inside ( #t Elechic fred due to Solid Non Gnduch'ng ov Didechic gpheve .— Tnside: — Case Tt) rok Q=0° GS !— Ipherteal Evy] . 4s" € 4 Te tal Lux! — +t 4 t ' a6 + = | 1 4 y) fedA cos HOC ay . > = [ edAcoso 4 + + o=EA b = €(ynr') [Azuny| Scanned with CamScanner Ace. 4 Gauss fata: — VYoluc b= Wa i — = Yio Bo J =e E(ynr®) = f $7 qinz JV o pine Pxint™ E = oP BEo EXY Case I) Outside (w >A) a \ Qei-— (phexteal {Speer \ ' 4 1 be fag ' +r S \ ) [esacosd Saba Re b= eA ren EE d= é(uart) [A= uar®] Acc. to Gauss lato -— » = Yin So 3 EC4nr*) - PEAR &o 3 ea Pe _— E od, ar? £0 zt Vol" Chaves density fe thy ye IV 4= extn Scanned with CamScanner Clectvottahe Potential be Capa erfPa nce 2 Electvic Potential due to Point Charge -— Fes am fa % dy We Know that:-— j Fy=e + QY 4 4RIe - Here, Fey Fax > ; “~ Fes = Elechtostet'c force ; ~ Fees External Poree we have te Erad EPai— applied on teat Ave Wee (oP) prs Charge. Yeo Caleulate Woskdone!— Here, 02% Wen (202) = | F.dy =k yo[- + | “ L of ~ a e- Wes (p»20) “f gud =~ KQY [at 1) @ > -KQY (+) Wex { 2) | AAts dy cos 0 * vex = “RAG (e-78) Weece 9) a Sr Ke dev coslso ? ” v We s HAG 2 -(* KOde dy (amr) J put oA) inex Scanned with CamScanner Scanned with CamScanner i) At Squi tovial Position *— \ > ve! By Py. Hheovem? — Ay 2 (iy 4 7 = 2 tl / he} ov / ‘ 0 » d- ve he ta -y +Y we have to GlewWate the €-P- at point P. Vane = VibVe —® Fes chorge G1 Por chewge Go Vo= + ky _ —@ Vie-ky —© = ete gt Put 2,3 im 24, KY <0 Vack = TKYE + Scanned with CamScanner Electyic Potental Energy fur 2 Chay col Particle! — oe: ——— a CD Oo Let us agsume that point chav ges WAYn ave kept ata fizedl Locahion aS shown an Fig. ie have to Caleulate €:P.E- 2 — Workclone in n Baton Onarge 91 from 0 1— w,so -},-U,sb —® . Workolone iin bulnging charge Go fem a: — Was [2 Pde Wes Se ae ay —— @ Put ©,8 i @ i_ ey - w 7] Wy-b = -} po 4 {. Ki Ge de | tay) ye ~ 1 dy Vor -Kihe (°F (ay) 2 Usn -K4i%. | - =a . ¥ co Ves “kate (ot Cs) " vy 9, %,. Vos “—KRYiYe ay Us —— bebe, ¥ ug a de vv Scanned with CamScanner 
