Suppose the hydrogen atom consists of a positive point charge (+e), located in the center of the atom, which is surrounded by a negative charge (-e), distributed in the space around it.(adsbygoogle = window.adsbygoogle || []).push({});

The space distribution of the negative charge changes according to the law p=Ce^(−2r/R), where C is a constant, r is the distance from the center of the atom, and R is Bohr's radius.

Find the value of the constant C by using the electrical neutrality of the atom.

Find the eletrical field for r<R

Find the eltrical field for r > R

So what I've done is:

Since p stands for charge density, p = Q/V , where V = 4/3 Pi R^3 and Q = -Q

Thus, p = C*exp^(−2r/R) = -Q / 4/3 Pi R^3

Solving for C... C=[ -3*Q* r^2 * exp(2R/r)] / 4*Pi* R^3

For the eletrical field I couldn't think of anything...

Sorry for the portuguese image... It was the only I could find. Note Ao = R

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# Gauss' Law: Charge of a Hydrogen Atom

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