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Helmholtz spacing of thin rectangular magnetic field coils.
K J Ahrendsen1, S Reyes1, T J Gay1
1Jorgensen Hall, University of Nebraska, Lincoln, Nebraska 68588-0299, USA.
The Review of Scientific Instruments
|December 2, 2020
Summary
This study details Helmholtz spacing for rectangular coils, optimizing Earth
Area of Science:
- Physics
- Electromagnetism
- Applied Physics
Background:
- Rectangular coils are essential components in charged-particle beam machines.
- Accurate magnetic field compensation is critical for the operation of such machines.
- Helmholtz spacing is a key parameter for achieving uniform magnetic fields.
Purpose of the Study:
- To analyze Helmholtz spacing for rectangular coils with arbitrary aspect ratios.
- To determine optimal coil configurations for compensating Earth's magnetic field.
- To investigate coil spacings that provide extended field uniformity along symmetry axes.
Main Methods:
- Mathematical analysis of magnetic field distribution for rectangular coils.
- Non-monotonic variation analysis of Helmholtz spacing.
- Calculation of coil spacing for extended field uniformity within a tolerance.
Main Results:
- Helmholtz spacing exhibits non-monotonic behavior between square and infinite wire configurations.
- Identified coil spacings that enhance field uniformity length along Cartesian axes.
- Developed criteria to assess when coil length approximates infinite conditions at the center.
Conclusions:
- The study provides a comprehensive understanding of Helmholtz spacing for rectangular coils.
- Optimized coil configurations can effectively compensate for Earth's magnetic field.
- The findings are applicable to the design and operation of charged-particle beam machines.
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