1.

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

Answer»

the electric field is necessarily zero.
the electric field is due to the DIPOLE moment of the charge DISTRIBUTION only.
the dominant electric field is`prop 1/r^(3)`for LARGE r, where r is the distance from a ORIGIN in this region.
the work done to move a charged particle along a closed path, away from the region, will be zero.

Solution :When the sum of different charges in any area is zero, then some amount of electric dipole can be IMAGINED.
Hence, electric field at point at large distance routside this area varies according to `prop 1/r^(3)`.
Also, electric field is conservative. Work done by charge moving in closed loop away from this area is zero.


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