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Question

# Consider a thin conducting spherical shell of radius R having charge Q. A point charge q is placed at a distance R/3 from the center of the shell and another point charge 2q is placed at a distance 3R from the center of the shell. If the shell is grounded, find the charge flown through the grounding wire.

A
Q+q
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B
Q+3q
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C
Q+23q
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D
Q+53q
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Solution

## The correct option is C Q+3qThe inner surface has −q due to +q at R3 and outer surface has −2q due to −2q at 3RTherefore, let charge flown out =Q+q+2q =Q+3qHence, the answer is Q+3q.

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