1. The problem statement, all variables and given/known data Prove that the potential outside of any radially symmetric charge distribution of total charge q, given by, V = q/(4*pi*epsilon_0*r) is a solution to Laplace's Equation. Hint: Only a masochist would solve this problem by solving Laplace's Equation. It is much easier to demonstrate that this solution is a solution to Laplace's equation. 2. Relevant equations 3. The attempt at a solution I first tried to plug V into Laplace's Equation del^2 V = 0. Since V only depends on r in this case, I thought I could just take the 2nd derivative of V and show that it is 0. I got to this point but could not go much further with it. Any help would be appreciated.