A conductor A having a cavity is uniformly charged with a charge Q. The charge on another small conductor B is q. The conductor B is placed in the cavity of conductor A such that they do not touch each other. What will be the charge on the outer surface of conductor A?

2 Q + q

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Q + q

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3 Q + q

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Q + 2 q

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Solution

The correct option is B $Q + q$ .
Due to charge of conductor B, a charge $-$ q is induced on the inner surface of the conductor A, while a charge $+$ q on its outer surface. Hence total charge on the outer surface of conductor A will becomes $Q + q$ .
Answer: $Q + q$ .

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