Analytic calculation of magnetic force between two current-carrying coils

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• 作者：Xiaofan Gou (1)
  Jian Qin (1)
  
  1. College of Mechanics and Materials ; Hohai University ; Nanjing ; 210098 ; China
  
• 关键词：current ; carrying coil ; non ; coplanar axis ; magnetic force ; analytic calculation ; O302 ; 78A30 ; 78M99
• 刊名：Applied Mathematics and Mechanics
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：36
• 期：4
• 页码：475-486
• 全文大小：1,206 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Applications of Mathematics
  Mechanics
  Mathematical Modeling and IndustrialMathematics
  Chinese Library of Science
  
• 出版者：Shanghai University, in co-publication with Springer
• ISSN：1573-2754

文摘

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.