Maximum Output Networks for Telephone Substation and Repeater Circuits

Ideal telephone substation and repeater circuits are shown to present output and input requirements which can be met by a type of circuit containing four resistances, each of which has maximum output; maximum output is found to involve biconjugacy, i.e., the four resista. nces fall into two pairs without active electrical connection between the two resistances of either pair; all circuits meeting these requirements with the minimum number of elements are enumerated; the necessary formulas for proportioning these circuits and also circuits having superflous elements are derived. The discussion of the properties of these four-resistance circuits, to which a consideration of three-resistance eire-uits is added, is a contribution to the important problem of the properties of the most general circuit containing ideal transformers.