Analysis of Rectangular RC Distributed Circuits with Shaped Electrodes

An analysis is given for a distributed network that consists of a resistive layer separated by an insulator from three separate electrodes. A conducting tab is placed completely across two opposing ends of the resistive layer. These tabs form two terminals of a five-terminal network. The three electrodes form the other terminals. The short-circuit admittance parameters for this network are derived and consideration is given to special interconnections. The short-circuit transfer admittances between an electrode and either end of the resistive layer may easily be made rational. An interconnection provides the possibility of a rational short-circuit transfer admittance that does not possess a zero at the origin. The method can be extended to similar multi-electrode networks.