The description of charge transfer using transmission lines and driving potentials, the Nernst potential and a Donnan potential for each ion is shown to be perfectly compatible with the fundamental equation describing the bimolecular hopping of electrons in the polymer and the Nernst-Planck equation describing the motion of each ion. It is shown that for a small perturbation a small cross-term is negligible and that there is then complete accord between the equations used in the transmission line approach and the fundamental transport equations. Sequences of potential distance profiles for a number of cases are presented. In particular it is shown that the transmission line approache describes perfectly the development of a liquid junction when a binary electrolyte is diffusing down a concentration gradient. This complete concordance further demonstrates the power of the transmission line approach.