Electrostatic


Electrostatic
  • Coulomb's law

    F = 
  • Electric intensity

    E = 
  • Electric field due to several point charges


  • Electric field due to a continuous charge distribution

    E = 
  • Electric field intensity due to uniformly charged ring

    E = 
  • If x > > r

    E = 
  • For uniformly charged sphere

    Einside = 

    Esurface = 
  • Electric potential difference and electric potential

    VA - VB = 
  • Potential die to a point charge

    V = 
  • Electric potential of various systems

    (i) Electric potential due to a circular ring

    V = 

    (ii) Electric potential due to a charged spherical shell

    Voutside = 

    (iii) Electric potential due to spherical cloud to charge

    Voutside = 

    Vinside = 
  • Dipole moment

    P = q × = 2
  • Couple on an electric dipole in uniform electric field


  • Work done in rotating a dipole from angular position 1 and 2

    W = 
  • Potential energy of an electric dipole

    V = - P × E
  • Electric filed due to an electric dipole

    (i) Electric field at a point on the axis of a dipole

    E = 

    (ii) Electric field at a point on the perpendicular bisector of an electric dipole

    E = 
  • Potential due to dipole

    V = 
  • Electric flux


  • Gauss's law




  • Electric field due to a uniformly charged sphere

    (i) At a point outside the charged sphere

    E = 

    (ii) At a point on the surface

    E = 

    (iii) At a point inside the charged sphere

    E = 
  • Electric intensity due to (spherical shell)

    (i) Electric intensity at an internal point

    E = 

    (ii) Electric at an external point

    E = 
  • Electric field due to a charged cylinder

    (i) Electric field outside the cylinder

    E = , interms of charge per unit length  of cylinder

    E = 

    (ii) Electric field inside the cylinder

    , interms of charge per unit length  of cylinder

    E = 
  • Electric field due to infinite sheet of charge (non conducting)

    E = 
  • Electric field near charged conducting surface

    E = 
  • Capacitance

    C = 
  • Capacitance of parallel plate capacitor

    C = 
  • Capacitance of a spherical capacitor

    C = 

    (i) If inner sphere is earthed

    C = 4pe0 

    (ii) Capacitance of cylindrical capacitor

    C = 

    (iii) Parallel plate capacitor with dielectric slab

    C = 

    (iv) When the dielectric is completely filled

    C = 

    (v) Capacitors in series



    (vi) Capacitors in parallel

    C = C1 + C2 + C3

    (vii) Energy stored in a capacitor

    V = 

    (viii) Force between the plates of a capacitor

    F = 
  • Rise of liquid place of between the plates of a capacitor

    h = 
  • Dielectric constant

    K = 



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