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On the resistive function measured between two points on a grid or a lattice of similar non‐linear resistors
Author(s) -
Gluskin Emanuel
Publication year - 1998
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/(sici)1097-007x(199803/04)26:2<207::aid-cta999>3.0.co;2-c
Subject(s) - resistor , resistive touchscreen , lattice (music) , linearity , polynomial , grid , function (biology) , resistive random access memory , mathematics , mathematical analysis , topology (electrical circuits) , electrical engineering , physics , engineering , combinatorics , voltage , geometry , acoustics , evolutionary biology , biology
The known problem of the resistance measured between two closest nodes on a grid of similar resistors, often considered in a linear version in physics and electrical engineering textbooks, is considered in a non‐linear version. An estimation, based on a simple polynomial model, shows that with increase in the number of the dimensions of the grid (or a lattice), the non‐linearity of the characteristic of a single resistor is expressed more and more weakly in the input resistive function, and that the input resistive function has the same (in the sense of the degrees involved and polarities of the coefficients) polynomial structure as the individual characteristic of the single resistor. © 1998 John Wiley & Sons, Ltd.