大学物理 ›› 2021, Vol. 40 ›› Issue (9): 47-.doi: 10.16854 / j.cnki.1000-0712.200505

• 大学生园地 • 上一篇    下一篇

矩形与圆形截面载流平行双导体间安培力研究

张盛源,徐天福,郭芳侠   

  1. 陕西师范大学物理学与信息技术学院,陕西西安 710119
  • 收稿日期:2020-11-13 修回日期:2021-02-27 出版日期:2021-09-20 发布日期:2021-09-24
  • 通讯作者: 郭芳侠,E-mail: guofanfgxia@ snnu. edu. cn

Study on Ampere forces between rectangular and between circular cross-section current-carrying parallel double conductors

ZHANG Sheng-yuan,XU Tian-fu,GUO Fang-xia   

  1. Shaanxi Normal University,School of Physics and Information Technology,Xi′an,Shaanxi 710119,China
  • Received:2020-11-13 Revised:2021-02-27 Online:2021-09-20 Published:2021-09-24

摘要: 截面形状不同的载流导体在空间中的磁场分布以及对其他导体的安培力,在实际工程应用中有重要意义.

本文从理论上分析计算无限长矩形截面和圆形截面载流导体磁场分布,进而对两根平行的矩形截面导体间、圆形截面导体间的安培力进行分析,并利用Matlab软件对磁场分布和安培力做了模拟.结果表明:矩形截面载流导体的磁感线呈近似椭圆状;两平行矩形截面载流导体间的安培力不仅与距离、截面尺寸有关,当距离、截面尺寸一定时还和放置的方向有关.当边长比 a /b> 1 时,安培力小于同样面积和载流密度情况下的圆截面导体,且 a / b 值越小,作用力越大,当 a / b < 1 时,大于同样载流情况下的圆截面导体,但随着导体间距增大作用力的差别越来越小.

关键词: 矩形截面导体, 圆形截面导体, 磁场, 安培力

Abstract: The distribution of magnetic field in space and Ampere forces on conductors

with different cross - section shapes are of great significance in practical engineering

applications.In this paper,the magnetic field distri-bution of the current-carrying conductor with infinite rectangular cross-section and circular

cross-section is theoret- ically analyzed and calculated,and then the Ampere Forces between

two parallel rectangular cross-section conduc- tors and between two circular cross-section

ones are analyzed,the magnetic field distribution and Ampere force are

simulated by Matlab software.The results show that the magnetic induction lines of the

current-carrying conductors with rectangular cross-section are nearly elliptic,and the Ampere

force between the two parallel rectangular cross- section current-carrying conductors is not

only related to the distance and cross-section size,when the distance and cross-section size are

fixed,it also depends on the direction of placement. When the side length ratio a / b >

1,the Ampere Force is less than that of two circular cross-section conductors with the same area and

current-carrying den- sity.And the smaller the a / b values,the greater the force is.When a / b

<1,the force is greater than that.But with the increase of conductor spacing,the difference of two forces becomes smaller and smaller.


Key words: rectangular cross-section conductor, circular cross-section conductor, magnetic field, Ampere force