The network method has been used to analyse the electrical properties of a classical asymmetric electrochemical cell, i.e. a 1:1 binary electrolyte in a cell between two atomic-parent-type electrodes, the positive ion being the only electroactive species at one electrode, and the negative ion the only electroactive species at the other electrode. A network model for the Nernst-Planck and Poisson equations describing the ionic transport through the electrolyte solution and for the Butler-Volmer equations describing the interfacial kinetics in such a system has been proposed. The transient response of the system to a step-function-applied potential difference and the small-signal a.c. response of the system subject to a steady external voltage have been simulated using the electric circuit simulation program PSPICE.