A hydrogen atom can be considered as having a central point-like proton of positive charge +e and an electron of negative charge -e that is distributed about the proton according to the volume charge density rho=A*exp(-2r/a_1). Here A is a constant, a_1 = .53x10^(-10)m is the Bohr radius, and r is the distance from the center of the atom. a) Using the fact that hydrogen is electrically neutral, find A. b) Then find the electric field produced by the atom at the Bohr radius.
The Attempt at a Solution
I've been struggling at part a. Once I find A, I can just integrate and solve for the electric field. However, although I know that hydrogen being electrically neutral is what will help me solve this, I don't know what this implies. My main guess is that I set r equal to a_1. However, that still leaves the unknown of q. Can someone explain to me how hydrogen's neutrality is relevant? Once I figure that out, I'm sure that the problem will become much simpler for me. Thank you in advance.