An atom that has Z protons, each with positive charge of magnitude e, reside in the nucleus at the center, surrounded by a uniformly distributed spherical cloud of radius R consisting of Z electrons, each with negative charge magnitude e, centered on the nucleus e. Use Gauss's Law to determine an expression for the electric field as a function of r, the distance from the center of the atom.
(1) Find the value of electric field for r<R (magnitude + direction)
(2) Find the value of electric field for R>r (mag + dir)
(3) If the atom were ionized, such that it was deficient by one electron, what would be the new expressions for the regions r<R and r>R
Gauss's Law: Integration of E dA = Q/eo
E = kq1q2/r^2
The Attempt at a Solution
(1-2) I treated this problem as a hollow sphere
The electric field is zero inside a conducting sphere.
The electric field outside the sphere is given by: E = kQ/r2, just like a point charge.
(3) This one I have no idea......
Thank you for your help