Abstract: I will discuss some intuition for the properties of a harmonic function f one obtains by interpreting f as the potential for an electric field given by -grad(f). In particular, we will discuss the Gauss-Lucas Theorem: the critical points of any complex polynomial P lie in the convex hull of the roots (zeros) of P. This mysterious statement becomes almost obvious with the electrostatic viewpoint (as explained in a recent short paper by John C. Baez). We won't assume any physics knowledge, only calculus.