载流有限长密绕螺线管的磁场分布  

The magnetic field distribution of a current-carrying tightly wound 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8期28-30,34,共4页College Physics

摘　　要：对于通以恒定电流的有限长螺线管,首先用柱函数展开法推导出矢势的表达式,再利用磁感应强度与矢势的关系式,得出积分形式的磁场表达式.然后用直接积分的方法计算出磁场分布的级数表达式.最后讨论了某些特殊位置处的磁场.For a steady current-carrying tightly wound solenoid with finite length, first, the expression of vector potential is derived by using the method of cylindrical function expansion and the expressions of magnetic field in the integral form are obtained by employing the relation between vector potential and magnetic induction. Next, the analytic expressions in the series form of magnetic field distribution are calculated by using the integration method directly. Finally, the magnetic field on some special positions is discussed.

关 键 词：螺线管 恒定电流 磁场 磁感应强度 级数表达式 

分 类 号：O441[理学—电磁学]