Electrostatics ...

The electric field intensity E, due to an electric dipole of moment p, at a point on the equatorial line is

The electric potential due to a small electric dipole at a large distance r from the centre of the dipole is proportional to

An electric dipole is placed at an angle of 30° to a non–uniform electric field. The dipole will experience

Electric field strength due to a dipole at a point on the axial line of dipole is

The electric field due to an electric dipole at a distance r from its centre in axial position is E. If the dipole is rotated through an angle of 90° about its perpendicular axis, the electric field at the same point will be

An electric dipole of moment p is placed at the origin along the x-axis. The electric field at a point P, whose position vector makes an angle θ with the x-axis, will make an angle with the x–axis where,

Two non-conducting spheres of radii R₁ and R₂ and carrying uniform volume charge densities + ρ and –ρ, respectively, are placed such that they partially overlap, as shown in figure. At all points in the overlapping region

A charge 10 μC is placed at the centre of a hemisphere of radius R = 10 cm as shown. The electric flux through the hemisphere (in MKS units) is

The electrostatic potential inside a charged spherical ball is given by ϕ = ar² + b where r is the distance from the centre a,and b are constants. Then, the charge density inside the ball is