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An early model for an atom considered it...

An early model for an atom considered it to have a positively charged point nucleus of charge Ze, surrounded by a uniform density of negative charge up to a radius R. The atom as a whole is neutral. For this model, what is the electric field at a distance r from the nucleus?

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For `r le R, E=E_("nucleus")+E_("electron distnibution")=("Ze")/(4pi epsilon_(0)r^(2))-("Zer")/(4pi epsilon_(0)R^(3))=("Ze")/(4pi epsilon_(0))[(1)/(r^(2))-( r )/(R^(3))]`
For `r ge R, E=0`
(Net charge enclosed by Gaussian surface = 0)
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