The electric field due to a dipole distribution in volume ##V'## can be viewed as electric field due to a volume charge distribution in ##V'## plus electric field due to a surface charge distribution in boundary of ##V'##.
##\displaystyle\mathbf{E}=\int_{V'} \dfrac{\rho...
An electric dipole is a system of two opposite point charges when their separation goes to zero and their charge goes to infinity in a way that the product of the charge and the separation remains finite.
Now how can we have a continuous electric dipole volume distribution from such a...