Consider a region inside which , there are various types of charges but the total charge is zero.At points outside the region
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(c, d)
From Gauss’ law, we know Фs E . dS =qenclosed / ϵ0. in left side equation.
the electric field is due to all the charges present both inside as well as outside the Gaussian surface. Hence if qenclosed= 0, it cannot be said that the electric field is necessarily zero. .
If there are various types of charges in a region and total charge is zero, the region may be supposed to contain a number of electric dipoles.
Therefore, at points outside the region (may be anywhere w.r.t. electric
dipoles), the dominant electric field ∝ 1/r3 for large r.
The electric field is conservative, work done to move a charged particle along a closed path, away from the region will be zero.
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