两共轴环电流之间的互感系数和作用力

周群益, 莫云飞, 侯兆阳, 周丽丽

doi:10.16854 / j.cnki.10000712.190468

大学物理 >

2020 , Vol. 39 >Issue 10: 5 - 11

DOI: https://doi.org/10.16854 / j.cnki.10000712.190468

教学研究

两共轴环电流之间的互感系数和作用力

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1.广州理工学院，广东广州　510540;2.长沙学院电子信息与电气工程学院，湖南长沙　410022;3.长安大学理学院应用物理系，陕西西安　710064;4.赣南医学院信息工程学院，江西赣州　341000

周群益(1955-)，男，湖南衡阳人，广州理工学院副教授，从事凝聚态物理研究工作.

收稿日期: 2019-10-16

修回日期: 2020-02-27

网络出版日期: 2020-10-16

基金资助

国家自然科学基金(11747123);湖南省自然科学基金(2018JJ3560);长沙市科技计划项目(kc1809022)，湖南省教育厅科学研究项目(19C0176)

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Calculating and drawing the mutual inductance coefficient and the force between two coaxial circular currents

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1. Guangzhou Institute of Science and Technology，Guangzhou，Guangdong 510540，China;2. School of Electronic Information and Electrical Engineering，Changsha University，Changsha，Hunan 410022，China; 3. School of Science，Chang’an University，Xi’an，Shaanxi 710064，China;4. Department of Information Engineering，Gannan Medical University，Ganzhou，Jiangxi 341000，China

Received date: 2019-10-16

Revised date: 2020-02-27

Online published: 2020-10-16

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摘要

本文通过无量纲作图展现共轴环电流之间的互感系数的图像，说明互感系数与两环半径和距离之间的关系.文本介绍通电圆环之间轴向力和径向力的计算方法，用多种无量纲作图方法展现和检验力的图像，说明力与两环半径和距离之间的关系.

关键词： 共轴环电流; 互感系数; 作用力; 无量纲作图; 椭圆积分

本文引用格式

周群益, 莫云飞, 侯兆阳, 周丽丽 . 两共轴环电流之间的互感系数和作用力[J]. 大学物理, 2020 , 39(10) : 5 -11 . DOI: 10.16854 / j.cnki.10000712.190468

Abstract

The mutual inductance coefficient between two coaxial circular currents is visualized by means of dimensionless method proposed here. The relationships of the mutual inductance coefficient with the radius and distance between the two circular currents are displayed according to these graphs. Moreover，the method of calculating the axial and radial forces between the two coaxial circular currents is discussed. The two forces are visualized by means of dimensionless method. The relationships of force with the radius and distance between two circular currents are shown.

Key words： coaxial circular current; mutual inductance coefficient; axial and radial forces; dimensionless drawing; elliptic integral

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