12th Formula Sheet

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ZIET BHUBANESWAR|  50 3-DAY WORKSHOP ON IMPROVEMENT OF RESULTS FOR CLASS XII, ZIET BHUBANESWAR IMPORTANT FORMULAE1. ELECTROSTATICS1.Electrostatic force between two charges = . = . For air,  = Fair =  . = × 2.Electric field intensity due to a point charge,  = → → 3. Electric field intensity due to infinite linear charge density (λ) = . 4.Electric field intensity near an infinite thin sheet of surface chargedensity = For thick sheet  = .5.Electric potential,  = → Electric potential due to a point charge,  = . 6.Relation between electric field and potential  = − = (numerically)7.Dipole moment,  = . ⃗ 8.Torque on a dipole in uniform electric field,  = × .9.Potential energy of dipole,  ∪= − . = − 10.Work done in rotating the dipole in uniform electric field from orientation Q 1 to Q 2 is = − = ( − ) 11.Electricfield due to a short dipole(i)at axial point,  = . (ii)at equatorial point,  = . 12.Electric potential due to a short dipole(i)At axial point,  = . (ii)At equatorial point,  = .13.Dielectric constant,  = = 14.Capacitance of parallel plate capacitor  ZIET BHUBANESWAR|  51 3-DAY WORKSHOP ON IMPROVEMENT OF RESULTS FOR CLASS XII, ZIET BHUBANESWAR (i)  = , in medium of dielectric constant K(ii)  = ( ) ; if space between plate partially filled with dielectric of thickness t.15.Combination of capacitors :-(i)In series,  = + + ,  = = , = + + (ii)In parallel, C = + + , = + + , = = = 16.Energy stored by capacitor ∪= = = 17.Electrostatic energy density = , in air = , in medium18.Total electric flux,  = ∮ . = × 2. Current Electricity 1. Electric current =or I ==2. In case of an electron revolving in a circle of radius r with speed v, period of revolution isT =; Frequency of revolution, v ==,Current, I = ev = 3. Ohm’s law, R = or V = IR4. Current in terms of drift velocity () is I =enA5. Resistance of a uniform conductor, R ==6. Resistivity or specific resistance,==7. Conductance =8. Conductivity = or σ = =9. Current density =or j == en10. Relation between current density and electric field,  j = σ E or E =  j  ZIET BHUBANESWAR|  52 3-DAY WORKSHOP ON IMPROVEMENT OF RESULTS FOR CLASS XII, ZIET BHUBANESWAR 11. Mobility µ = 12. Temperature coefficient of resistance, α = ( ) 13. The equivalent resistanceof a number of resistances connected in series is given by=++ + ….. 14. The equivalent resistanceof a number of resistances connected in parallel is given by=  + + + …. 15. EMF of a cell, E =16. For a cell of internal resistance r, the emf is E = V + Ir = I (R + r)17. Terminal p.d of a cell, V = IR =18. Terminal p.d. when a current is being drawn from the cell, V = E  –  Ir19. Terminal p.d. when the cell is being charged, V = E + Ir20. Internal resistance of a cell, r = R []21. For n cell in series, I =22. For n cells in parallel, I =23. Heat produced by electric current, H =Rt joule = . cal24. Electric power, P == VI =R =25. Electric energy, W = Pt = VIt =Rt26. Potential gradient of the potentiometer wire, k =27. For comparing e.m.f.s of two cells,=28. For measuring internal resistance of a cell, r =x R29. For a balanced Wheatstone bridge,=, If X is the unknown resistance=or X =  ZIET BHUBANESWAR|  53 3-DAY WORKSHOP ON IMPROVEMENT OF RESULTS FOR CLASS XII, ZIET BHUBANESWAR 30. in a slide wire bridge, if balance point is obtained at l cm from the zero end,then== ( ) 3. Magnetic effect of current  Biot-Savart law (Magnetic field due to current element) 20 sin4 r dl I dB  θπµ   Force acting on a charge moving in a magnetic field F = qvB sinor F   = q(  Bv   )  Magnetic field on the axis of a circular current loop .)(2 232220 ar a I  N  B   µ  Magnetic field due to an infinitely long straight current carrying wire r  I  B πµ 2 0   Magnetic field at a point on the axis of a solenoid nI  B 0 µ   Motion of a charged particle in a uniform magnetic field r  = qBmvqBmT   π 2   Torque on a rectangular coil in a uniform magnetic field τ =  NIBA sin  Force per unit length acting on each of the two straight parallel metallic conductorscarrying current r  I  I lF  f  πµ 2 2102   Deflection in moving coil galvanometer

Jul 11, 2019

BS EN 910

Jul 11, 2019
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