Questions on Electric field due to a dipole

Electric Field due to Dipole

Electric field due to an electric dipole is

Starting from Eq. 24-54 derive the expression for the electric field due to a dipole at a point on the dipole axis.

How to know if field is conservative or not|Equipotential surface |Dipole moment| Electric field due to dipole moment|Dipole in uniform and variable electric field

The angle between the electric dipole moment and electric field due to the dipole on its axial and equatorial lines respectively are

A short electric dipole has dipole moment p. Find the distance of farthest point from the dipole where (a) potential due to the dipole is V_0 (b) Electric field due to the dipole is E_0