title: Parametric design of tri-axial nested Helmholtz coils.
abstract: This paper provides an optimal parametric design for tri-axial nested Helmholtz coils, which are used to generate a uniform magnetic field with controllable magnitude and direction. Circular and square coils, both with square cross section, are considered. Practical considerations such as wire selection, wire-wrapping efficiency, wire bending radius, choice of power supply, and inductance and time response are included. Using the equations provided, a designer can quickly create an optimal set of custom coils to generate a specified field magnitude in the uniform-field region while maintaining specified accessibility to the central workspace. An example case study is included.
authors.affiliation: Department of Mechanical Engineering, University of Utah, Salt Lake City, Utah 84112, USA.
authors.forename: Jake J
authors.initials: JJ
authors.lastname: Abbott