Documents

12th Formula Sheet

Description
Description:
Categories
Published
of 18
All materials on our website are shared by users. If you have any questions about copyright issues, please report us to resolve them. We are always happy to assist you.
Related Documents
Share
Transcript
  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
We Need Your Support
Thank you for visiting our website and your interest in our free products and services. We are nonprofit website to share and download documents. To the running of this website, we need your help to support us.

Thanks to everyone for your continued support.

No, Thanks