An analytic solution and asymptotic behavior for traction time of point charge to grounded conducting sphere

  • LI Li1 ,
  • ZHANG Yin2
Expand
  • 1.Chongqing Qinghua High School,Chongqing 400054,China; 2. College of Mathematics and Information Science,Zhengzhou University of Light Industry,Zhengzhou,Henan 450002,China

Received date: 2017-04-05

  Revised date: 2017-08-07

  Online published: 2018-01-20

Abstract

Under the conditions of irrespective gravity,air resistance and relativistic effect,this paper solves the relevant differential equation of motion directly,and obtains the analytic solution of traction time,which is expressed by the linear combination of Legendre complete elliptic integral of first and second kind. The asymptotic behavior is considered when sphere is changed into infinite plain,and then the same result with known literature is obtained.

Cite this article

LI Li1 , ZHANG Yin2 . An analytic solution and asymptotic behavior for traction time of point charge to grounded conducting sphere[J]. College Physics, 2018 , 37(1) : 46 -47 . DOI: 10.16854 /j.cnki.1000-0712.1706165

Outlines

/