Notes on the theory of planar electric networks

The primary purpose of these notes is to sketch an approach to the elementary algebraic theory of planar electric networks which conduces to a formal dual correspondence between the so-called mesh and nodal representations of planar networks that is complete in every respects It is also shown that if general variables are employed in the analysis of a network the number of voltage or current equations that serve to describe the network is infinite. Finally, it is demonstrated that the impedance or admittance matrix of a passive network is not necessarily symmetrical.