| 任意两共轴圆线圈间的互感系数及磁感线的分布 |
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| 引用本文： | 张星辉,何钰,徐行可.任意两共轴圆线圈间的互感系数及磁感线的分布[J].大学物理,2007,26(7):21-24. |
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| 作者姓名： | 张星辉 何钰 徐行可 |
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| 作者单位： | 西南交通大学理学院,四川成都610031 |
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| 基金项目： | 四川省应用基础研究计划 |
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| 摘 要： | 从一个圆电流的矢势出发,导出了任意两共轴圆线圈间互感系数的函数表达式,根据其函数表达式,由数学软件MatLab绘出了互感系数随两线圈间距离及两线圈半径变化的分布图.然后再从一个圆电流的矢势出发,导出了任意两共轴圆电流线圈磁感线所满足的方程,按照磁感线方程也绘出了其磁感线在空间的分布图.
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| 关 键 词： | 圆电流 矢势 椭圆积分 共轴线圈 互感系数 磁感线 数学软件MatLab |
| 文章编号： | 1000-0712（2007）07-0021-04 |
| 收稿时间： | 2006-09-22 |
| 修稿时间： | 2006-09-22 |
The mutual inductance of any two coaxial circular coils and the distribution of the magnetic induction line from the system |
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| ZHANG Xing-hui,HE Yu,XU Xing-ke.The mutual inductance of any two coaxial circular coils and the distribution of the magnetic induction line from the system[J].College Physics,2007,26(7):21-24. |
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| Authors: | ZHANG Xing-hui HE Yu XU Xing-ke |
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| Institution: | Department of Applied Physics, Southwest Jiaotong University, Chengdu 610031, China |
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| Abstract: | The function formula for the mutual inductance of the any two coaxial coils system is derived by the magnetic vector potential of a circular current.The images of the function varying to the distance of the two coils and to radius of the two coils is drawn scientifically and exactly by mathematical software "MatLab".The equation of the magnetic induction line from any two coaxial coils system is derived from the magnetic vector potential of a circular current yet.The distributional images of the magnetic induction line of coaxial coils system satisfying the equation is drawn by mathematical software "MatLab". |
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| Keywords: | circular current magnetic vector potential elliptic integral coaxial coils mutual inductance magnetic induction line mathematical software "MatLab" |
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