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A uniformly charged spherical droplet of mercury has electric potential Vbig throughout the droplet. The droplet...

A uniformly charged spherical droplet of mercury has electric potential Vbig throughout the droplet. The droplet then breaks into n identical spherical droplets, each of which has electric potential Vsmall throughout its volume. The n small droplets are far enough apart from one another that they do not interact significantly.

Find Vbig/Vsmall, the ratio of Vbig, the electric potential throughout the initial drop, to Vsmall, the electric potential throughout one of the smaller drops.

The ratio should be dimensionless and should depend only on n

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