关键词: 广义电路网络, RT-V方法, 电压函数, 等效电阻, 解析式

Abstract: A class of multi-parameter 2×n Fan circuit network models is considered, the lower boundary of the horizontal axis of the network is a single wire, and the resistors on the remaining horizontal and vertical axes are three independent components. This is a new question that has not been studied before. In this paper, the Recursion-Transform method (RT-V) based on node voltage as the parameter is adopted for the research. Through strict theoretica calculation, the analytical formula of the equivalent resistance of any node on the horizontal axis is derived. The article further discusses the conclusions under special circumstances and verifies the correctness of the theoretical results. The research conclusion of this paper can provide new theoretical basis for related applied research and its interdisciplinary simulation research. The research work also has positive significance for cultivating college students' innovative practical activities.

Key words: generalized circuit network, RT-V method, voltage function, equivalent resistance, analytical formula