In this Note, we discuss the Helmholtz spacing for a pair of thin rectangular coils of arbitrary aspect ratio and consider how best to use such coils to compensate for Earth’s magnetic field along the coils’ Cartesian symmetry axes. Such coils are frequently used in conjunction with charged-particle beam machines. The Helmholtz spacing varies non-monotonically between that for square coils and that for four optimally spaced infinite wires. We consider other coil spacings that extend the length over which the field varies by less than some tolerance along the Cartesian symmetry axes. The calculations also provide a convenient means to evaluate when the length of the coils is sufficiently long to be considered infinite at the center point within a fixed tolerance.
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November 2020
Brief Report|
November 03 2020
Helmholtz spacing of thin rectangular magnetic field coils
K. J. Ahrendsen
;
K. J. Ahrendsen
a)
Jorgensen Hall, University of Nebraska
, Lincoln, Nebraska 68588-0299, USA
a)Author to whom correspondence should be addressed: [email protected]
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S. Reyes
;
S. Reyes
Jorgensen Hall, University of Nebraska
, Lincoln, Nebraska 68588-0299, USA
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T. J. Gay
T. J. Gay
Jorgensen Hall, University of Nebraska
, Lincoln, Nebraska 68588-0299, USA
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a)Author to whom correspondence should be addressed: [email protected]
Rev. Sci. Instrum. 91, 116103 (2020)
Article history
Received:
July 27 2020
Accepted:
October 13 2020
Citation
K. J. Ahrendsen, S. Reyes, T. J. Gay; Helmholtz spacing of thin rectangular magnetic field coils. Rev. Sci. Instrum. 1 November 2020; 91 (11): 116103. https://doi.org/10.1063/5.0023024
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