曲面积分的一个推广和应用  

Extension and Application of Improper Surface Integral

作　　者：郑永冰[1] 苟长义[2] 

机构地区：[1]东北财经大学数量经济系,辽宁大连116025 [2]天津理工大学数理学院,天津300191

出　　处：《辽宁工学院学报》2006年第3期199-201,共3页Journal of Liaoning Institute of Technology(Natural Science Edition)

摘　　要：引入广义曲面积分的概念,并讨论了在闭合曲面上有奇点的条件下,电场穿过闭合曲面的电通量,从而给出高斯定理的一个推广,即真空中任一闭合曲面Σ上的点电荷q的电场穿过曲面Σ的电通量等于q/2ε0.The concept of improper surface integral was introduced. Singular point of a closed surface was introduced, and electric flux electric field piercing through closed surface was illustrated. And an extension of Gauss Theorem was drawn. The main result was that an electric flux passing through a closed surface by electricity q, equals q/2ε0.

关 键 词：电磁场 电通量 曲面积分 

分 类 号：O172[理学—数学]