Consider a region inside which there are various types of charges but the total charge is zero. At points outside the region

the dominant electric field as $\alpha \frac{1}{\mathrm{r}}$for large r, where r is the distance from a origin in this region

the electric field is necessarily zero

the electric field is due to the dipole moment of the charge distribution only

the work done to move a charged particle along a closed path, away from the region, will be zero