Parametric design of tri-axial nested Helmholtz coils

Area of Science:

• Physics
• Electromagnetism
• Engineering Design

Background:

• Helmholtz coils are crucial for generating uniform magnetic fields.
• Controlling magnetic field magnitude and direction is essential in various scientific applications.
• Existing designs may lack comprehensive practical considerations for custom coil fabrication.

Purpose of the Study:

• To provide an optimal parametric design for tri-axial nested Helmholtz coils.
• To facilitate the generation of uniform magnetic fields with adjustable magnitude and direction.
• To incorporate practical manufacturing and operational considerations into the coil design process.

Main Methods:

• Consideration of both circular and square coil geometries with square cross-sections.
• Inclusion of practical factors: wire selection, wrapping efficiency, bending radius, power supply, inductance, and time response.
• Development of equations for designing custom Helmholtz coil systems.

Main Results:

• A parametric design framework for tri-axial nested Helmholtz coils.
• Guidelines for selecting materials and components based on practical constraints.
• Demonstration of how to achieve a specified magnetic field in the uniform region.
• Ensured accessibility to the central workspace for experimental setups.

Conclusions:

• The presented design methodology enables efficient and customized generation of uniform magnetic fields.
• The inclusion of practical considerations simplifies the fabrication and implementation of Helmholtz coil systems.
• This work serves as a valuable resource for researchers and engineers requiring precise magnetic field control.