圆电流和亥姆霍兹线圈磁场的研究  

STUDY ON AGNETIC FIELD OF A CIRCULAR CURRENT AND HELMHOLTZ' COILS

作　　者：张昌莘[1] 席伟[1] 何颖君[1] 

机构地区：[1]茂名学院技术物理系,广东茂名525000

出　　处：《安徽师范大学学报（自然科学版）》2004年第1期41-45,共5页Journal of Anhui Normal University(Natural Science)

基　　金：广东茂名学院自然科学基金项目(编号:203161)

摘　　要：根据毕奥-萨伐尔定律,导出了圆电流磁场分布的级数解表达式.应用磁场叠加原理,得到亥姆霍兹线圈的磁场分布的普遍表达式.由此讨论了亥姆霍兹线圈之间近轴和轴线上磁场的分布情况.并给出亥姆霍兹线圈产生均匀磁场区的条件.According to Biot-Savart law, a series solution of magnetic field on a circular current is derived in cylindrical coordinates system. Using superposition principle of magnetic field ,a formula of magnetic field on Helmholtz' coils has been obtained. The distribution of magnetic field at and near by axial has been discussed .A condition of making uniform magnetic field on Helmholtz' coils has been derived.

关 键 词：圆电流 亥姆霍兹线圈 毕奥-萨伐尔定律 级数解 磁场叠加 

分 类 号：O441[理学—电磁学]