I have recently improved my theory of how to obtain the Hamiltonian and equations of motion of an arbitrary electrical circuit, both classically and quantum mechanically. In particular, I have included holonomic reductions of auxiliry circuits as well as generalized Poisson brackets to treat dissipative networks. This article summarizes a body of work I developed over the past 15 years. The article is also availabe on the arXiv.org at https://arxiv.org/abs/2007.08519 .