The behavior of linear time invariant RLC circuits

It is shown that just as we did for a purely resistive network, that circuit analysis is very simple if the elements are described not by potentials across and currents through the elements, but rather by the potentials at the nodes and the external currents into the nodes. For simple R, C or L components this gives a description with a 2 × 2 matrix, which is more complex than the scalar constitutive laws governing the potential across and current through. However this description has an advantage in performing the analysis of more complicated circuits. These are built up from simple operations like joining two nodes, splicing at nodes, and minimalization.