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Q.

An electrically isolated hollow (initially uncharged), conducting sphere has a small positively charged ball suspended by an insulating rod from its inside surface, see diagram.

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This causes the inner surface of the sphere to become negatively charged. When the ball is centered in the sphere the electric field outside the conducting sphere is

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a

zero

b

the same as if the sphere wasn't there

c

twice what it would be if the sphere wasn't there

d

equal in magnitude but opposite in direction to what it would be if the sphere wasn't there

answer is B.

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Detailed Solution

Let the charge on the ball at center is q, then -q charge will be induced on the inner surface and +q on the outer surface. Field at any point outside the sphere due to inner charges q and -q will combine to be zero. Outer charge q will produce the electric field at outside points as it would be produced by a charge at the center. Hence, presence of sphere does not affect the electric field outside the sphere.

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