矩形与圆形截面载流平行双导体间安培力研究
Study on Ampere forces between rectangular and between circular cross-section current-carrying parallel double conductors
Received date: 2020-11-13
Revised date: 2021-02-27
Online published: 2021-09-24
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.
张盛源, 徐天福, 郭芳侠 . 矩形与圆形截面载流平行双导体间安培力研究[J]. 大学物理, 2021 , 40(9) : 47 . DOI: 10.16854 / j.cnki.1000-0712.200505
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.
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