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Resistance Theory of General 2 × n Resistor Networks
Author(s) -
Zhang YiTian,
Hu Xuan,
Chen HaiXiang,
Wang MingYue,
Chen WanJiao,
Fang XinYu,
Tan ZhiZhong
Publication year - 2021
Publication title -
advanced theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.068
H-Index - 17
ISSN - 2513-0390
DOI - 10.1002/adts.202000255
Subject(s) - resistor , matrix (chemical analysis) , mathematics , order (exchange) , transformation (genetics) , transformation matrix , boundary (topology) , current (fluid) , network analysis , mathematical analysis , physics , electrical engineering , engineering , materials science , voltage , thermodynamics , biochemistry , chemistry , kinematics , finance , economics , composite material , gene , classical mechanics
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 × 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.