Abstract
The work reported directly builds upon the material in a previous paper by this author on the basic theory of electric networks [1]. It considers special open and closed paths that are often sufficient for the analysis of a problem. The special cases considered are those that follow from tree and cotree concepts. This paper applies the concepts of tree and cotree to the open-path and closed-path theory of electric networks. Several structures of electric network laws are generated and are enclosed in the paper. Applications of the theory will follow.

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