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List of All Formulae 1, Electrle Charges and Fields 1, Quantivation of electric charge, q = Lae, where, n 21,2... x ~ U k qi » Coulomb's law, Fs “ite r Hlectric field intensity, B= fal qo > » Electric field due to a point charge, pet r o Electric dipole, p = 2aq 6, Electric field due to an electric dipole a a-P} tp (2 + ppt | | | | | (i) Ata point on the axial line, £7 = a (ii) Ata point on the equatorial line, Ey = | (ili) At any point due to shost dipole, pe kp J3 cos’ +1 re) 7. Torque on an electric dipole in a uniform electric field, t= pEsin@ 8, Work done on a dipole in a uniform electric field, W = pE (cos 0, - cos 02) 9. Electric flux, =f Eds = ‘ Eo 10. Electric field due to (i) an infinitely long straight charged wire, E = 2nar (ii) thin infinite plane sheet of charge, E = x eo (iii) a uniformly charged thin spherical shell, E = ae eer 2, Electrostatic Potential and Capacitance . . k 11. Electric potential, ¥ = 4 f 12, Electrostatic potential due to an electric dipole, p cos8 Anegr? Ve XII Physics formula sheet | - dv; 13, Potential gradient, fs— 14, Potential energy of a dipole in an external fiele, U(G) = pé (cos 8; ~ 09245) p 4 15, Capacitance, C = — apacitance, C= y 2s 16, Dielectric constant, X= 7 17. Polarisation, P= Np, where p= 02: £5 14, Capacitance of a parallel plate capacitor, A (i) when air is filled between the plates, C = > (ii) when a diglectric slab of thickness 115 insested in etween the plates, ce 2A 4-248) K (iii) when 2 metallic slab (K = ~) of thickness ris plecec : ; aA between the plates of the capacitor, C = —— 3. Current Electricity 19. Capacitance of combination of capacitors (i) in parallel, Cp =Cy+Cr+..+C. (ii) in series, + -L + - +n, ! 21. Energy density, U 258! ay ae Oy = O2¥2 22. Common potential, ¥=—7=—"* “+p 23. Loss of energy in sharing charges, AU= COM, VF 2(C-=Cr) - aq 24. Electric current, !=— ct : eE 25, Average drift velocity, vy =—7 m 26. [=neAve 2a. 27, 1-2 m Scanned with CamScanner . Mobility, tt = £ mn Vv 29, Resistance, R= T 30. Resisti ity, p= ne“t 31. Conductance, = S = 32, Conductivity, o = sie 33. Resistance of combination of resistors (ii) in series, Req = Ri + Rp +... + Ry 2 34. Electrical power, P= VI = Re 35, Relation between terminal potential difference, emf of the cell and internal resistance of the cell, V=E-Ir 36. Current (J) (i) in series combination, | = "= R+oar me r+mR (ii) in parallel combination, [ = mné in mixed combination, [ = ——— ar+mR . Potential gradient, kat 38. Balance condition of Wheatstone bridge, 3 3 n° olw s i . t R 39. Balance condition of meter bridge, =- 100-1 $ 4 ? In potentiometer, condition to {i) compare emf's of two cells, (ii) to measure internal resistance of acell,r = ( 4, Moving Charges and Magnetism 11, Biot-Savart's law, dB= Ho Idlsin 4x? 42, Magnetic field due to a current carrying conductor, 2nR 7 43. Magnetic field on the axis of a circular current carrying loop, B= HoNTa* a(r? + ay? is } 5. Magnetism and Matter 44. Magnetic field at the centre of a current carrying circular loup, HoNT p=h 2R 45. Ampere's circuital law, B=}Lo/ 4G, Magnitude of magnetic field of a straight wire, Hol B=— @xr Using Ampere’s circuital law. 47. Magnetic field of a solenoid, B=ponl 48, Magnetic Lorentz force, F = Bqvsin® 49, Lorentz force, F=q(E+v x B) 50. Time period of oscillation of charged particle, pe 2hm Bq 51. Kinetic energy of charged particle, xE=2 “BR 2m 52. Force on a current carrying conductor in a uniform magnetic field, F=BLsin@ 53. Force between two parallel current carrying conductors per unit length. Ho 2hl: amor S4. Torque experienced by a current loop in uniform . magnetic field, . t= BINA sin ® 55. Magnetic dipole moment of a revolving electron, yee 2 56. Current sensitivit “= 57. Voltage sensitivity, Vs = NAB KR 58. Magnetic field strength at a point due to bar magnet, (i) when point lies on axial line of a bar magnet, Ay w= bed in (d* - FY (ii) when point lies on equatorial line of bar magnet, Ho M “an (d@=Ppe 59. Torque on a magnetic dipole in a uniform magnetic field, ' = MBsin@ a Magne CHegot Pim ‘ ®/T stem . Scanned with CamScanner 102. Magnifying power of compound microscope, (i) when final image is formed at near point, ead (ii) when final image is formed at infinity, 103. Magnifying power of astronomical telescope, (i) when the final image is formed at infinity, ue-£ G (ii) when the final image is formed at near point, welled 10. Wave Optics 104. Intensity, Ip =1; +1: +2 Vie cos 0 105. Relation between intensity, amplitude of the wave and width of the slit, hig Wi 1 bOW: 106. Ix = h(a + b)* and Jun = K(a— 6)" 107, Fringe width, WW = 108. Fringe shift is given by, (b> -fy)t=nA 11. Dual Nature of Radiation 109. Einstein's photoelectric equation, Ken = AV ly or Krux = 5 MVE =h(v-Vo) 110. de-Broglie wavelength, 4 = f and for an electron, 4 = V2meV 12. Atoms 111. Distance of closest approach, ry = U 22s AmEo \1/2mv" 7 1 Ze? cot (8/2) 4NEo E 113. Total mechanical energy of the electron in hydrogen atom, 112. Impact parameter, b= = ze Sxtor - . . ntht T14. Radii of Bohr’s stationary orbits, r = An? mke~ 115. Velocity of electron in Bohr's stationary orbit, dn2ke? y= nh 116, Frequency of electron in Bohr's stationary orbit, ve kee (For hydrogen atom, Z = 1] nhr 117. Total energy of electron in the stationary orbit, ‘ -me gnteth? - 118. Bohr's formula for hydrogen like atoms, 13. Nuclei 119. Radius of nucleus, R= Roa"! 120. Nuclear binding energy. Feq =[Zm, +(A-Z) me - Mc? 121. Radioactive law of decay, N= Nae“ 9. 122. Half-life, Ty: = 3! A 123, Average life, t=1H471 2 2. 124. Decay constant, & = SP (") 14, Semiconductors and Electronic Devices 125. In common-emitter amplifier. (a) DC current gain, (b) AC current gain. Bac = (=) As) (c) AC voltage gain, Alc | Re ay SS Mls Ra (d) AC power gain = Bc x Resistance gain 15. Communication System av = - 126, Relation between coverage distance and height of transmitting antenna, d= 0k 127. Modulation index, u = = ~ Amnplitude of modulated wave ~ Amplinude of carrier wave Scanned with CamScanner 
