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SL., , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , NO. quantities FORMULA (RELATIONS ) | Electrostatics, 1 | Quantisation of Elect. Charges (Q) Gene nis Integral Number, e is charge on electron, on a body SEs 1.6X 10°C, Electrostatic force constant 1/(4n€o) value : 9 x 10°Nm’C?, Permittivity & 8.85 x 10 Nm?, 4 ‘Caulainbistaw F = quqa/aneoe? - and qz are two charges placed at distance, Forces on two charges Fiz = - Far Direction of F is along r., 6 rm eis absolute permittivity of medium, €9 is permittivity, Dielectric Constant K= €/E0 = € of free space, e- Is relative permittivity., ie z y, 7 . _ F is force experienced by the test charge q at, Becie Flee abs polnt Rena a point. Eis called field intensity at that point, Force with respect to field F=q.e, 8 | Electric field due to source charge ‘ . ‘, Gat distance r E = Q/(4neor?) Direction of E is along r., 9 | Electric Field due to dipole on a = 3 P is dipole moment, r is distance from centre, ; ; E = 2P/(4néor*) 4 Hes, point on axial line of dipole on axial line., 10 | Electric Field due to dipole ona ” ‘ P is dipole moment, r is distance from centre, 5 E = P/(4neor*) ‘ ;, point on equitorial line of dipole on equitorial line., i aa i oe E= ris distance of point from midpoint of dipole, 6 is, y 2 a Bocas, angle @ with P7 PvI(3cos?6+1)/4m€or" angle between direction of r and dipole moment P, 4 1 ais angle between resultant field and, tan a==tand, Etiakesanpleawittntien ane 2 - direction of r, 8 is angle between r and P, 12 | Eatany point on the axis ofa sy, uniformly charged ring at distance r Qr/Aneo(r+a*)'?, 13 Torque on a dipole kept in t= PESinO P is dipole moment, E is electric field, Direction of, Electric Field or r=KE Torque is normal to plain containing P and E, 14 ing di, a ™ for rotating dipole by W = PE(1- Cos®) P is dipole moment. E is electric field, 15 | Potential Energy of dipole in, equilibrium condition when P is U=-PE P is dipole moment. E is electric field, along E., 16 | Potential energy of dipole at 90, Zero, degree to E, 17 | potential energy of dipole at 180° U=+PE P is dipole moment. E is electric field, 18 | Electric Flux de de= E.S = JE.ds, 19 aid Teal « Flux linked to a closed surface is q/€o times, seuss theorem d= § [Eds] =a/e0 the charge enclosed in it., 20 | Field due to infinite long straight Ais linear charge density in the conductor, r is, A/2ne€or 5, charged conductor the perpendicular distance,, 21 | Electric field due to infinite plane o is areal charge density. Independent of, 6 /2€ s, sheet of charge distance, 22 Within two parallal sheets of aye Outside: fields z8r0, opposite charges, 23 Within two parallal sheets of _ Outside: field's oes, similar charges, 24 | Electric field due to spherical, , , , shell, out side shell, , , , E=q/(4neor’), , , , q is charge on shell, r distance from centre.

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25, , Electric tield on the surface of, spherical shell., , E=q/(4neoR*), , R is radius of shell, , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , 26 | Electric field inside spherical shell. Zero, 27 | Electric field inside the sphere of z ss 4: _, charge distributed uniformly all over E=rp/3€ ue cats wl sprerene S velumentc charae, density, is permittivity of medium, the volume., P ial hy, = ee duexo.chatyeaat V =Q/(4neor) Potential is characteristic of that location, distance r, 29 | Potential Energy with charge q Potential Energy is that of the system, =qV= 4, kept at a point with potential V U=qV = Qq/(4neor) containing Q and q., 30 | Work done for in moving a charge q, through a potential difference of V W=q(V2-V1) V=(va-), Energy of system of two charges U = qiq2/(4neor), 31 Relation of Randy E=-dv/dr dv is potential difference between two Points at, distance r where rand E are in the same direction,, 32 | Relation of E and V and @ E Cos@ = - dv/dr where 6 is angle between dr and E, 33 | Potential at infinity / in earth Zero, 34 j i 3 ae ai, Electric Potential due to dipole ona V=P/(4neor) P is dipole momentum, ris distance from, point on axial line centre of dipole, 35 | Electric Potential due to dipole ona, ; pee als Zero, point on equitorial line, 36 P is dipole momentum, r is distance from, ‘ . : " 242 Electric Potential due to dipole at V=P cos0 / Aree (Pea centre of dipole, a is half length of dipole, is, any general point, cos?6), angle between r and P, 37 =| Work done in moving a charge, between two points of an Zero, equipotential surface, 38 i i, Capacitance ofa spherical 4meoR R is radius of the sphere, conductor, 39 r Ais area of each plate, dis distance between, —. ofa parallal plate EokA/d them, k is dilectric constant of the medium, Sapeeter between plates., 40 Dielecttic: Constant k =C/Co Cis capacitance with medium within plates, and Co, is capacitance in free space., 41 | Capacitance of a spherical _ Henk ra and fp» are radius of internal and external, capacitor. = PeIMEOLaTN TED spherical shells, 42 Equivalent capacitance for ee Cis equivalent capacitance, Ci, cz are, Capacitors in parallal Se niet eee capacitnce of the capacitors joint together., 43 | Equivalent capacitance for 1/C = 1/cr + 1/ca + 1/cs, Capacitors in series, 44 | Charge, capacitance, Potential c=qv q ischarge on the plate of capacitor and V is, Difference i Potential Difference between the plates., 45 ’ ‘ 2 2 q is charge, cis capacitance, v is Pot., Energy stored in capacitor rev’, %qv, “%aq'/c Difference, 46 | Common Potential V=CiVitC2V2)/Cit+C2, 47 1 CC, Energy loss in connecting 2 ues (v1-v2P Ci at va is connected to cz at v2, 2, 48 | Cwith dielectric slab inserted €okA/d-t(1-1/k) t is thickness of dielectric slab of constant k,, 49 | Cwith metal plate inserted EokA/(d-t) tis thickness of metal plate inserted,, 50 | Force of attraction between plates %q"/eoA, Y€oE°A | qis charge on plate, Ais area, E Elect. Field.