  Given a knot $K$ parametrized by $r: [0,2\pi] \to \mathbb{R}^3$, we can
define the electric potential on its complement by $\Phi(x) = \int_0^{2\pi}
\frac{|r'(t)|}{|x - r(t)|}dt$. Physicists and knot theorists want to understand
the critical points of the potential and their behavior.
  The tunneling number $t(K)$ of a knot is the smallest number of arcs one
needs to add to a knot so the complement is a handlebody. We show the number of
critical points of the potential is at least $2t(K) + 2$. The result is proven
using Morse theory and stable manifold theory.
