Imagine a short dipole at the center of a spherical surface. If the magnitude of the electric field at a certain point on the surface of the sphere is 10 NC^-1, then which of the following cannot be the magnitude of the electric field anywhere on the surface of the sphere?

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32 NC^-1

8 NC^-1

16 NC^-1

4 NC^-1

answer is A, D.

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Detailed Solution

(i) Let electric field at '1' be 10 NC^-1, then at '2' it is 5 NC^-1 and at any other point on surface of sphere electric field will be from 5 NC^-1 to 10 NC^-1.
(ii) Let electric field at '2' is 10 NC^-1, then at '1 it is 20 NC^-1 and at any other point on surface of sphere electric field will be from 10 NC^-1 to 20 NC^-1.