The electric field and the potential of an electric dipole vary with distance r as

Electric field at a general point at a distance r from the centre of the dipole is $\mathrm{E}=\frac{\mathrm{Kp}}{{\mathrm{r}}^3}\sqrt{3{\mathrm{cos\theta }}^2+1}$.

Electric potential at a general point at a distance r from the centre of the dipole is $\frac{\mathrm{Kp}}{{\mathrm{r}}^2}\mathrm{cos\theta }$