ANALYSIS OF THE MAGNETIC FIELD HOMOGENEITY FOR AN EQUILATERAL TRIANGULAR HELMHOLTZ COIL | Zendy

Andrés Fernando Restrepo | Zendy; Édinson Franco Mejía | Zendy; Héctor Cadavid Ramírez | Zendy; Carlos Jaramillo | Zendy

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ANALYSIS OF THE MAGNETIC FIELD HOMOGENEITY FOR AN EQUILATERAL TRIANGULAR HELMHOLTZ COIL

Author(s) -

Andrés Fernando Restrepo,

Édinson Franco Mejía,

Héctor Cadavid Ramírez,

Carlos Jaramillo

Publication year - 2016

Publication title -

progress in electromagnetics research m

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.216

H-Index - 31

ISSN - 1937-8726

DOI - 10.2528/pierm16062309

Subject(s) - equilateral triangle , helmholtz coil , helmholtz free energy , homogeneity (statistics) , electromagnetic coil , magnetic field , physics , mathematics , nuclear magnetic resonance , geometry , thermodynamics , statistics , quantum mechanics

This paper presents a mathematical analysis of the magnetic field homogeneity for an Equilateral Triangular Helmholtz (ETH) coil. The magnetic field analysis is based on the Biot-Savart law in which a Taylor series approximation is performed to obtain the analytical distance that complies with the Helmholtz condition between the pair of coils. This is done to compare the magnetic field distributions of the ETH and the Circular Helmholtz (CH) coils for the parameters side length (2a, √ 3a) and radius (a) respectively. Furthermore, an approximate expression of the magnetic field homogeneity with regard to the side length parameter is obtained and finally a computational model of the ETH coil using COMSOL R © is performed in order to validate the calculated and experimental results. The results show that the ETH coils have a lower magnetic field homogeneity than the CH coils for the described parameters, and the implementation of either one basically depends on the application specifications.

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