- #1
mafisco
- 3
- 0
Homework Statement
Derive equation below. It is the potential energy of an electron inside a nucleus assumed to be a uniformly charged sphere of R.
Homework Equations
V'(r) =( -Ze2/4∏ε0R)(3/2 - (1/2)(r/R)^2)
The Attempt at a Solution
So I understand that I need to find the
∫ from infinity to a point A (A exists inside the uniformly charged sphere)
I did this by splitting it between infinity to B(on surface of sphere) and A to B.
I did get the (-Ze^2/4∏ε0R)(1/2)(r/R)^2, but I just am lost for the 3/2. Any help would be wonderful.
Thanks!