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An approach for the calculation of magnetic field within square spiral inductors at low frequency
Author(s) -
Ibrahim Noureddin M.,
Kuhn William B.
Publication year - 2002
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.457
Subject(s) - spiral (railway) , square (algebra) , inductor , current crowding , limit (mathematics) , field (mathematics) , magnetic field , variety (cybernetics) , physics , current (fluid) , electrical engineering , acoustics , topology (electrical circuits) , mathematics , engineering , geometry , mathematical analysis , voltage , statistics , pure mathematics , quantum mechanics
The magnetic field distribution within a square spiral inductor is investigated in this paper by summing closed‐form expressions for the fields from each segment. Plots illustrating the variation of the normally directed B ‐field penetrating the surface of the spiral traces are then developed for a variety of perspectives. The expressions and insight gained represent an essential step in developing a detailed model of effects such as current crowding, which significantly limit the spiral's performance in practical circuits. Copyright © 2002 John Wiley & Sons, Ltd.