Darlington´s conjectures

A lumped linear nonseries-parallel 3-terminal RC network containing three internal nodes is analysed by taking specific numerical examples. Although in every case a series-parallel equivalent is obtainable, there are considerable differences between the various cases. Three examples are considered in detail in the paper. In two of these, one extra factor is required, and in all three cases excess elements are required, to obtain a series-parallel equivalent. A brief note is included on the results of an automatic analysis of a number of examples of this network using a digital computer.