Abstract

This paper focuses on Helmholtz-type coils that can produce a second-order homogeneity field to be used for Magnetic Resonance Imaging (MRI) applications. A Helmholtz coil is a device used for producing a region of a nearly uniform magnetic field. It consists of two identical magnetic coils that are placed symmetrically along a common axis, one on either side of the experimental area, separated by a distance equal to the radius of the circular coil and half-length of the side of the square coils. Each coil carries an equal electrical current flowing in the same direction. The main objective of this article is to calculate the magnetic field provided by the coils at any point in space and to show and compare the uniform magnetic field induced by the square and circular Helmholtz coils. With the aid of MATLAB simulation tool, mathematical equations are simulated to demonstrate the axial magnetic field produced by one and two loops. Also, the design and simulation of electrical modeling for square and circular Helmholtz coils are performed using PSPICE. Finally, these coils are realized and tested experimentally, and the results for square and circular Helmholtz coils are compared.

Highlights

  • A Helmholtz coil is a device used for producing a region of nearly uniform magnetic field [1,2]

  • In this work, the operation of standard square and circular Helmholtz coils, which can be used for Magnetic Resonance Imaging, is investigated and demonstrated

  • The coil assembly comprises of two coaxial loops separated by a distance equal to their radius for the circular coil and half the length of the side for the square coil, and carrying the same current, in a symmetric arrangement

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Summary

Introduction

A Helmholtz coil is a device used for producing a region of nearly uniform magnetic field [1,2] It consists of two identical circular magnetic coils that are placed symmetrically, one on either side of the experimental area along a common axis, and separated by a distance d equal to the radius R of the coil. A two-coil Helmholtz pair is the standard model, with coils that are circular in shape and flat on the sides In such a device, an electric current is passed through the coils to create a very uniform magnetic field. Helmholtz coils are used for a variety of purposes They were used in an argon tube experiment to measure the charge to mass ratio of electrons [3]. This can be used to see how electrical charges and magnetic fields operate when not affected by the gravitational pull of the earth or other celestial bodies [6,7]

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