This paper addresses theoretically and methodologically the electrical characteristics (including node voltage and equivalent resistance) of a class of n-ladder resistor networks with external load. The authors establish, with node voltage as a variable, the second-order difference equation model and boundary condition equation model based on Kirchhoff’s law. They propose the general and specific methods of solution for different equations and at once obtain the voltage formula of any node in the n-ladder network with external load and the equivalent resistance formula between any two nodes as well. Special cases in the conclusion section are analyzed and discussed. In particular, they find the oscillation and resonance characteristics of the LC network under different conditions by carrying out an analysis and research into the equivalent complex impedance characteristics of the LC network.

中文翻译：

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具有外部负载的n梯形网络的电气特性

本文从理论和方法上探讨了一类带有外部负载的n梯形电阻网络的电气特性（包括节点电压和等效电阻）。作者将节点电压作为变量，基于基尔霍夫定律建立了二阶差分方程模型和边界条件方程模型。他们提出了针对不同方程式的通用和特定的求解方法，并立即获得了具有外部负载的n梯形网络中任何节点的电压公式以及任意两个节点之间的等效电阻公式。结论部分的特殊情况将进行分析和讨论。特别是，他们发现了LC的振荡和谐振特性通过对LC网络的等效复阻抗特性进行分析和研究，可以研究不同条件下的电网。