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Analytic calculation of magnetic force between two current-carrying coils

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Abstract

Current-carrying coils are basic elements in electromagnetic equipments, for example, in high field magnets from high temperature superconducting wires or tapes. In the assembly of these systems and their current-carrying operation, unavoidable misalignment and shift from the original position can be induced by disturbances such as the imbalance of magnetic force due to safety problems. For two current-carrying coils with non-coplanar axes, the analytic expression of the magnetic force between the two coils is presented according to the rule of Ampere circulation and the Biot-Savart law. Based on the expression, the dependence of the magnetic force on the size and the relative position of each other is further investigated, and the variation of the magnetic force is obtained with the above parameters.

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Authors and Affiliations

  1. College of Mechanics and Materials, Hohai University, Nanjing, 210098, China

    Xiaofan Gou & Jian Qin

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  1. Xiaofan Gou
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  2. Jian Qin
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Correspondence to Xiaofan Gou.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11372096) and the Program for Research Fund for the Doctoral Program of Higher Education of China

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Gou, X., Qin, J. Analytic calculation of magnetic force between two current-carrying coils. Appl. Math. Mech.-Engl. Ed. 36, 475–486 (2015). https://doi.org/10.1007/s10483-015-1924-9

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  • DOI: https://doi.org/10.1007/s10483-015-1924-9

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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