用电势能法求带电细圆环与导体球的作用力

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用电势能法求带电细圆环与导体球的作用力

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廖其力( 1966—) ，男，重庆人，重庆邮电大学移通学院副教授，博士，主要从事高能物理唯象理论和大

收稿日期: 2018-09-19

修回日期: 2018-12-24

网络出版日期: 2019-07-02

基金资助

学校教改基金( YTJG201814)资助

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The force of the charged thin ring and the conductor sphere obtained by using the potential energy method

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College of Mobile Telecommunications，Chongqing University of Posts and Telecom，Chongqing 401520，China

Received date: 2018-09-19

Revised date: 2018-12-24

Online published: 2019-07-02

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本文用电动力学中的镜像法，利用Mathematica 软件计算了当导体球的球心在带电细圆环的轴线上时，在均匀带电

细圆环作用下处于静电平衡的导体球外空间的电势，同时绘出导体球外空间的电势分布图像; 再运用电势能与电场力的关系

求出带电细圆环与导体球的相互作用力，并绘出电场力随距离变化的图像.

关键词： 电势; 导体球; 均匀带电细圆环; Mathematica

廖其力, 邓娅, 余艳, 谢国亚, 张珠峰 . 用电势能法求带电细圆环与导体球的作用力[J]. 大学物理, 2019 , 38(6) : 16 . DOI: 10.16854 /j.cnki.1000-0712.180517

By using the mirror image method in electromagnetism and the Mathematica software，we calculate

the electric potential outside space of the a conductor ball on the axis of the charged thin ring. The electric potential

distribution of the conductor ball outside space is drawn. Then，electric field force can be obtained by using the relationship

between electric potential energy and electric field force，and the force of electric field with distance

change is drawn.

Key words： electric potential; conductor ball; uniform charged thin ring; Mathematica

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