积分求解余弦分布球面电荷的电场  

An integral approach to electric field of charges on spherical surface with cosine distribution

作　　者：张志良[1] 郑瑶 池澄 胡冰璐 ZHANG Zhi-liang;ZHENG Yao;CHI Cheng;HU Bing-lu(Department of Physics,Zhejiang Normal University,Jinhua,Zhejiang 321004,China)

机构地区：[1]浙江师范大学物理系,浙江金华321004

出　　处：《大学物理》2018年第3期6-8,共3页College Physics

基　　金：国家自然科学基金资助项目(11174255)

摘　　要：积分求解了余弦分布球面电荷(σ=σ0cosθ)的电场.首先合成场点所张立体角在球面所围的2个面元上电荷元的磁场,被积函数是容易积分的单变量三角函数.积分得到的总合成电场与已有结果相同.The electric field of charges on spherical surface with cosine distribution(σ=σ0 cosθ)is solved by the integral method.By composition of the electric fields of the charge elements on the two surface area elements enclosed by a solid angle at the field point at first,the resultant fields can be easily obtained.The results are the same with the existing ones.

关 键 词：球面电荷 余弦分布 立体角 积分法 

分 类 号：O441.1[理学—电磁学]