Formulas for computing the magnetic flux density of fine magnetic pole pitch fabricated on printed circuit board

Abstract

A special wire circuit with an appropriate layout was designed and formed on printed circuit board (PCB). After a current flowed through the wire circuit, the magnetic field was induced according to Ampere's law and a fine magnetic pole pitch of less than 1 mm was fabricated. Three-dimensional formulas are presented for computing the magnetic flux density of fine magnetic pole pitch fabricated on PCB. These formulas are expressed in terms of finite sums of elementary functions and enable rapid parametric studies of the magnetic flux density distribution relative to wire width, wire thickness, dimension of magnetic pole pitch, etc. They are easily programmed and have been successfully verified by experimental measurements. © 2004 Elsevier B.V. All rights reserved.