Derive the expression for electric field intensity at a point on the axial line of a dipole

Derive an expression for electric field intensity at a point on the axial line of an electric dipole.

Define electric dipole moment. Is it a scalar or a vector? Derive the expression for the electric field of a dipole at a point on the equatorial plane of the dipole.

Define electric field lines.

The SI unit of electric field intensity is

Derive and expression for electric field at a distance r from the centre of a short dipole along its axis and hence prove that the ratio of electric fields in axial position to equatorial position of dipole is is 2:1 .

Derive the expression for electric field intensity due to a uniformly charged thin spherical shell at a point outside the shell

Derive the expression for electric field intensity due to a uniformly charged thin spherical shell at a point inside the shell.

Using Biot-Svart's law, derive the expression for the magnetic field in vector form at a point on the axis of a circular current loop.

State the properties of electric field lines.