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. Part A Voig Vamall throughout one of the smaller drops. Find ,the ratio of Vbig, the electric potential throughout the initial drop, to Vsmall, the electric potential The ratio should be dimensionless and should depend only on n • View Available Hint(s) Viig Vamall %3D

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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.
Part A
Vpig
Vsmall
throughout one of the smaller drops.
Find
, the ratio of Vbie, the electric potential throughout the initial drop, to Vsmall, the electric potential
The ratio should be dimensionless and should depend only on n
• View Available Hint(s)
?
Vbig
Vsımall
Transcribed Image Text: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. Part A Vpig Vsmall throughout one of the smaller drops. Find , the ratio of Vbie, the electric potential throughout the initial drop, to Vsmall, the electric potential The ratio should be dimensionless and should depend only on n • View Available Hint(s) ? Vbig Vsımall
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