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Analytic calculation of magnetic force between two current-carrying coils

Analytic calculation of magnetic force between two current-carrying coils
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摘要 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 mis- alignment 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. 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 mis- alignment 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2015年第4期475-486,共12页 应用数学和力学(英文版)
基金 Project supported by the National Natural Science Foundation of China(No.11372096) the Program for Research Fund for the Doctoral Program of Higher Education of China
关键词 current-carrying coil non-coplanar axis magnetic force analytic calcula-tion current-carrying coil, non-coplanar axis, magnetic force, analytic calcula-tion
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