Here the problem of equivalent resistance of general 2 × n‐order resistor networks with four different resistor parameters is investigated, and innovations in theory and method are made. Here, the second‐order matrix equation model and boundary condition equation model are established by the RT‐I technique (recursion–transform theory based on current parameters), and the general solution and the special solution of the matrix equation are given by using the matrix transformation method. The current distribution law in the circuit is obtained, and three equivalent resistance formulas of general $2\times n$‐order resistor networks are obtained. Finally, by analyzing and discussing the special case of the conclusion, the relationship between different resistances is obtained, and the results are compared with those of other literatures.

中文翻译：

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一般2×n电阻网络的电阻理论

在此研究具有四个不同电阻参数的普通2× n阶电阻网络的等效电阻问题，并在理论和方法上进行了创新。在这里，通过RT-I技术（基于当前参数的递归变换理论）建立了二阶矩阵方程模型和边界条件方程模型，并通过使用以下公式给出了矩阵方程的一般解和特殊解。矩阵变换法。得到了电路中的电流分布规律，并给出了三​​个等效电阻公式：$2\times ñ$获得了顺序电阻网络。最后，通过分析和讨论结论的特殊情况，得出了不同电阻之间的关系，并将结果与​​其他文献进行了比较。