So I've done some more thinking about the divergence and there are two things I'd like a little clarification with. Firstly, if instead of the divergence of the radial unit vector field, the divergence of the actual radial vector field is found, that gives a constant.
\vec \nabla \cdot \vec r =...
Awesome! Thanks andrewkirk. That does make sense. That's the fundamental piece I was overlooking. Further away from the origin, the less the field lines "diverge" from one another!
Sorry if this was addressed in another thread, but I couldn't find a discussion of it in a preliminary search. If it is discussed elsewhere, I'll appreciate being directed to it.
Okay, well here's my question. If I take the divergence of the unit radial vector field, I get the result:
\vec...