Equivalent resistance of irregular 3 × n Hammock resistor network
Tan Zhi-zhong · DOAJ (DOAJ: Directory of Open Access Journals) · 2022
The equivalent resistance of a kind of irregular 3 × n Hammock resistor network is studied by the RT-I theory, in which the third order matrix equation and the third order boundary condition equation are established by Kirchhoff′s law and the branch current is taken as the variable. The general and specific solutions of the matrix difference equation are obtained by using the diagonal matrix transformation. In this paper, three series of equivalent resistance solutions for irregular 3 × n Hammock resistor networks are identified. The network model contains two arbitrary parameters p and q, so that the network represents a multi-functional network model. Taking different p and q parameters can be used to study the electrical characteristics of a series of networks with different structures. The result can provide a new theoretical basis for future research and application, and a new dimension for the related complex network research.