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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
V
outside
=
(iii) Electric potential due to spherical cloud to charge
V
outside
=
V
inside
=
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 = C
1
+ C
2
+ C
3
(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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