Study and Analysis of Magnetic Field Homogeneity of Square and Circular Helmholtz Coil Pairs: A Taylor Series Approximation

Author

Alvarez, A.F.R. ; Franco-Mejia, E. ; Pinedo-Jaramillo, C.R.

Author_Institution

Grupo de Investig. en Control Ind., Univ. del Valle, Cali, Colombia

fYear

2012

fDate

7-9 Nov. 2012

Firstpage

77

Lastpage

80

Abstract

This paper presents an analysis of magnetic field homogeneity of square and circular Helmholtz coils pairs. The analysis is based on the Bio-Savart law for which it performs a Taylor series approximation for the magnetic field at a point on the axis of symmetry, finding an approximate expression of the homogeneity with respect to the parameter radius / length. Finally, a computational model is performed in COMSOL and comparing the magnetic field distribution for both geometries.

Keywords

Helmholtz equations; approximation theory; magnetic fields; Bio-Savart law; COMSOL; Taylor series approximation; circular Helmholtz coil pairs; computational model; magnetic field distribution; magnetic field homogeneity; square Helmholtz coil pairs; Coils; Computational modeling; Equations; Magnetic fields; Mathematical model; Nickel; Taylor series; Computational model; Helmholtz coil; Magnetic field distribution; Magnetic field homogeneity; Taylor series;

fLanguage

English

Publisher

ieee

Conference_Titel

Andean Region International Conference (ANDESCON), 2012 VI

Conference_Location

Cuenca

Print_ISBN

978-1-4673-4427-2

Type

conf

DOI

10.1109/Andescon.2012.27

Filename

6424124