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Q.

Equipotential at a great distance from a collection of charges whose total sum is not zero are approximately

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a

spheres.

b

planes.

c

paraboloids.

d

elipsoids.

answer is A.

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Detailed Solution

For equipotential surface, these surfaces are perpendicular to the field lines. So there must be elect c field, which cannot be without charge.
So the algebraic sum of all charges must not be zero. Equipotential surface at a great distance means that space of charge is negligible as compared to distance. So the collection of charges is considered as a point charge. l-le(bi. potential due to point charge is,
V=keqr
which explains that electric potentials due to point charge is same for all equidistant points. The locus of these equidistant points, which are at same potential, forms spherical surface.

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