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There are 27 drops of a conducting fluid...

There are `27` drops of a conducting fluid. Each has a radius r and they are charged to a potential `V_(0)`. They are then combined to form a bigger drop. Find its potential.

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Verified by Experts

The correct Answer is:
`9V_(0)`
From mass conservation
`27xx(4/3pi r^(3))=4/3 pi R^(3), R=3r`
Given that `V_(0)=(Kq)/r` then `V_("bigdrop")`
`=(Kxx(27q))/R=(K(27q))/(3r)=(9Kq)/r=9V_(0)`
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