How to prove the determinant of resistance matrix $R$?

Question

Let $G$ be a connected graph with $n$ vertices, $R$ be the resistance matrix of $G$, $\tau$ be the $n\times 1$vector with components $\tau_1,\tau_2,...\tau_n$,and $\tau_i=2-\sum\limits_{j\thicksim i} \frac{r(i,j)}{w(i,j)}$ for$i=1,2,...,n$. Let $\kappa (G)$ be the sum of the weights of all the spanning trees of $G$. How to prove $det R=(-1)^{n-1}2^{n-3}\frac {\tau' R \tau}{\kappa (G)}$. And which articles can I reference?