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Resistance formulae of a multipurpose n ‐step network and its application in LC network
Author(s) -
Tan Z.Z.,
Asad J.H.,
Owaidat M.Q.
Publication year - 2017
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.2366
Subject(s) - resistor , transformation (genetics) , nonlinear system , network analysis , construct (python library) , network model , equivalent circuit , electrical impedance , computer science , topology (electrical circuits) , graphics , mathematics , engineering , electrical engineering , physics , artificial intelligence , combinatorics , biochemistry , chemistry , computer graphics (images) , quantum mechanics , voltage , gene , programming language
Summary We consider a multipurpose n ‐step network with cross resistors that is a profound problem that has not been resolved before. This network contains a number of different types of resistor network model. This problem is resolved by three steps: First of all, we simplify a complex graphics into a simple equivalent model; next, we use Kirchhoff's laws to analyse the network and establish a nonlinear difference equation; and finally, we construct the method of equivalent transformation to obtain the general solution of the nonlinear difference equation. In this paper, we created a new concept of negative resistance for the needs of the equivalent conversion and obtain two general resistance formulae of a multipurpose ladder network of cross resistors. As applications, several interesting specific results are produced. In particular, an n ‐step impedance LC network is discussed. Our method and the results are suitable for the research of complex impedance network as well. Copyright © 2017 John Wiley & Sons, Ltd.