有限长厚壁载流螺线管的磁场分布  

The magnetic field distribution of a current-carrying thick-wall solenoid with finite length

作　　者：丁健[1] 

机构地区：[1]长安大学理学院物理系,陕西西安710064

出　　处：《大学物理》2009年第6期12-14,20,共4页College Physics

摘　　要：对于通以恒定电流的有限长厚壁螺线管,用柱函数展开法推导出矢势的表达式,再根据磁感应强度与矢势的关系式得出磁场的积分形式表达式.用直接积分的方法,计算出厚壁螺线管内部和外部的磁场分布的级数表达式.另外还用本文得出的公式求得中轴线上的磁场.For a steady current-carrying tightly wound thick-wall solenoid with a finite length, the expression of vector potential is derived by using the method of cylindrical function expansion. The expressions of magnetic field distribution in the integral form are presented by employing the relation between vector potential and magnetic induction. The expressions in the series form of the interior and exterior magnetic field distribution of magnetic field of a thick-wall solenoid are calculated by means of the integration method directly. The magnetic field at central axis is obtained by applying the formulae of this paper.

关 键 词：厚壁螺线管 恒定电流 磁感应强度 级数表达式 

分 类 号：O441[理学—电磁学]