Abstract: The circuit network with feedback has always been a difficult problem in scientific research. This article considers a class of n-order rectangular circuit network models (CNM) with diagonal feedback, derives a new equivalent impedance analytical formula, and solves a complex circuit network problem. The research methods used include establishing differential equations for branch currents and establishing constraint equations. The key to solving problems is to use rigorous mathematical calculations to solve the general and specific solutions of recursive equations. The acquisition of specific solutions mainly depends on the constraint equation. At the end of the article, several special conclusions and infinite networks are analyzed and studied, and the correctness of the obtained conclusions are verified. This research result can enrich the content of circuit textbooks and provide reference for scientific exploration and research of science and engineering students.

Key words: circuit network, diagonal feedback, differential equation, equivalent impedance