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Electric field due to charged sphere, , Hollow non conducting sphere Solid no, Solid or hollow conducting sphere, , , , oeeinee aE sia Electric field due to uniformly charged, , distribution, , , , , , , , , , , , , , LE F-EsE-0, , Sheet 2 ——————— of, Lee [ene, , , , Bes SBiveawapeacwesi, , , , between the sheet, , :, , above the upper sheet, , eR moe mee), nu, , Electric field due to uniformly charged, plate, , Field lines with metal, , Edge effect Gaussian surface for different shapes, , , , , , , , ry oe on a re - ecto, a aoe, i . ae T, E=0 =|JE=0 rye, PY, Fa, , , , 5., , Conducting, foe A lee] |, andapoint Parallel metal plate, , charge having dissimilar -==———— >, charge Electric filed lines, Field lines interact normally, with metal surface., , , , , , , , , , , , , , , , , Surface charge Surface of, density o Conductor, , , , , , Properties of Subatomic Particles, , , , , , , , Peurd er OMe CTCL) Mass (g), , electron | outside nucleus | 1 699 x 49719 - 0.00055 | go0091 x 10°24, proton nucleus 1.602 x 10729 a 1.00727 | 167262 x 1074, neutron nucleus ° ° 1.00866 | 167493 x 10724

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Electric Charges and Fields, , (DUGGAN conductors have free electrons on (RBERSIREEFeEHUIe eRargeS irs), , q q. 4. the surface which allows current to, i 3, pass through. ee don't. si eee, = Cable jacket, = A leg insulator -e © ropes, % = 8 leg insulator vw ?>-e @, Q= 4+9+9; = Conductors, , , , & = permittivity of vaccum, =8.854 x10" C'N'm, , Vector form of Coulomb’s Law, , Fe ee tks heath, , , , Fue Fa, , Electric Field, , A region around a charged particleor —_The electric field intensity is the measure, object within which a force would be of the strength of an electric field at any, , , , , , , , exerted on other charged particles or —_ point., — It is equal to the electric force per unit ~~ |Newton / Coulomb, charge experienced by a test charge whi- CNC’), , , , , , ch is placed at that point, , The electric field intensity between, two points is the vector sum of all the, , electric fields acting at that point., , Field lines, , EsE, +E, +....+ E,, , = kg fr? + gfe} 4 + g/t?, , , , , , , , Electric Field Lines: Properties, , © Electric field lines start from a positive charge and end at a, negative charge., , © Incase of a single charge, electric field lines end at infinity., , © Ina charge-free region, electric field lines are continuous, and smooth., , © Two electric field lines never intersect or cross each other., , * Electric field lines never form a closed loop because, electric field is conservative in nature.

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Electric Charges and Fields, , , , (- *, flux =@ = EAcos@ ie, , Electric flux is the rate of flow of the electric, field through a given area. Electric flux in an area, is the Electric field multiplied by the area of the, surface projected in a plane perpendicular to, the field., , “Lto area, , , , , , , Electric field, , , , , , , , , , Gauss law states the total flux linked peoacg Q, with a closed surface is 1/e, times the fE As, charge enclosed by the closed surface. &, , Gauss'Law, , , , , , , , , , , , , , , , , , , , , , , , electric enclosed, flux SY ae me, Nm?/c Pb = Q itivity off, &7—- free space, 1, (8.85x10") a e, Application of Gauss Law, charge sheet, Gaussian surface, Outside, shell, , , , , , equal in magnitude but of opposite Scented rN Usiss ste, , signs, separated by a small distance . a © =Eqdsine =pxE, consists an 7 : ., , “electric dipole”., , —- =>, , O p=qd OS, ae, Magnitude of dipole moment (p), is the product of either of the, , charges (q) and the separation ¢, distance (d) between them.

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1. Electrostatic force between two charges, , 1 4.4, 4M Soe; ce, , , , F r, qa, , cE, a, , F=, , , , , , , , for air €, = 1, , 2. Electric field intensity, , , , , , , , , , , , , , , , 3. Electric field due to infinite linear, charge density (A), , », , , , , , , , , , , , ‘co, , 4. Electric field near an infinite, cs, , 2€0, , —, — dA, —., —, —, , i) Thin sheet =, , ii) Thick sheet = —2, 5. Electric flux, , , , , , (, x, 13 . Electric field due to uniform charged disc, , |, , Where, a- Radius of ring., , , , x, , ax, , , , , , Where, a- Radius of ring., , , , , , For short dipole , , , , , , , 12 . Electric field due to charged ring along, , 11. Electric field at axial point, axis at distance x., , U, , 14. Electric field due to conducting, , G- Charge density, , 6. Gauss law, , , , , , , , , , Q, , enclosed, , &, , , , , , , , o= Eda =, , , , , , , , , , , , , , 7. Relation between Electric, field and potential, , dr, , E, V+dv V, ae, , , , , , , , , , , , , , , , p=qx2l, , , , 9. Torque on dipole in uniform electric, field iE, , , , ae, PE, , a Lg, <<”,, Se, 10. Electric field due to dipole at, , equitorial point, , , , , T=pxE, , , , = pEsin@ ae, , , , =, Ez P, , ——————, mt AME. (1? + a)3?, , , , , , For short dipole , , , r<R, r>R, , r, , 4, q, R?, q, ?, , i?, , 1, , ane,, 1, , 4ne,, 1, , ‘ane,, , sphere or non-conducting spherical shell, , of radius ‘R’, and Charge ‘q’, solid non-conducting sphere of radius 'R’,, , E,, =0, out, , charge ‘q’, Eout =, , 15 . Electric field due to uniformly charged, Ein

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Electrostatic Potential, , Work done per unit positive test charge For a system of two charges, , by an extemal force in beinging a unit, , positive charge from infinity to a point, , in the presence of another point charge., w_i4, , “qQ 4nty, , AT une, , Do not intersects each, other, , 4,4,, , wn 4x67,, , v=, , Surface having same electrostatic, potential at every point, , At every point, FP’ surface, , Work done in moving, a charge is zero W,., = 0, , Line of force *, , , , , , - 5a electric charge is imparted to the, inside of a spherical conductor, it is, , @ Pointed ends cannot retain charge due, to high charge density on them., , , , pcos @, , Rename wm sonece, , Al any arbitrary point; v =, , , , ante, , , , At axial point v = mee, , é, At equatorial v = 0, Potential energy of a dipole in external field, , U(0) = pE(cos @, - cos#), —+ when intially at 6, = 90", , >U=-p.E, , , , ie, , , , Outside the shell, , , , ST ERE BULL, , , , distributed entirely on its outer surface., , , , Electric Potential due to a Uniformly Charged Spherical Shell, , , , Inside the shell, , “ak, , , , solid Sphere, , , , , , Equatorial, surfaces Outside the sphere onthe sphereie., inside the sphere, Vom tor | v tt -R | ve R, aris ant, OR, , , , Van de Graff Generator Paes eed, , Charge on the inside of each plate: +Q on the, top, - Q on the bottom, , Capacitor and Capacitance, , Capacitor is used to store electrical energy., Capacitance is defined energy. Capacitance, is defined as the ratio of the charge stored to, the potential between the plates., , ae, Soe, , one S, , nares, , Air filled parallel plate capacitor, , , , fA, Cea, Spherical capacitor, C=4né,, , b