四个平行共轴等大载流方线圈磁场的均匀性分析  

Uniformity of magnetic field created by four parallel,coaxial and current-carrying square coils of equal size

作　　者：昝会萍[1] 张引科[1] ZAN Hui-ping;ZHANG Yin-ke(Science College,Xi’an University of Architecture&Technology,Xi’an,Shaanxi 710055,China)

机构地区：[1]西安建筑科技大学理学院,陕西西安710055

出　　处：《大学物理》2021年第6期14-18,40,共6页College Physics

基　　金：陕西省教育厅专项科研基金项目(2013JK0639)资助。

摘　　要：匀强磁场广泛应用于科学研究和工程技术.以毕奥-萨伐尔定律和磁场叠加原理为基础,建立了4个平行共轴等大载流方线圈磁场磁感应强度的表达式;用泰勒级数展开方法,发现了线圈系统磁场均匀性最好的条件;借助于数值计算,讨论了3种具体情况下线圈系统磁场的均匀性.结果表明:在最佳状态下,线圈系统能够在较大空间区域产生相对偏差小于0.01%、方向偏差小于0.01度的均匀性极高的磁场,并且磁场的均匀性和空间范围都明显优于方形亥姆霍兹线圈的磁场.Uniform magnetic field has many applications in scientific research and engineering technology.Based on Biot-Savart law and the superposition principle of magnetic field,the mathematical expressions of magnetic induction intensity created by four parallel,coaxial and current-carrying square coils of equal size(FPCSCS)are derived.By using Taylor series expansion method,the conditions,under which the FPCSCS generates a magnetic field of the best uniformity,have been found.The uniformity of magnetic fields produced by the FPCSCS in three cases is discussed.The results show that,in the optimum situation,the FPCSCS can generate a very homogenous magnetic field with magnitude relative deviation of less than 0.01%and direction deviation of less than 0.01 degree.Compared with the homogenous magnetic fields of square Helmholtz coil,the magnetic field of FPCSCS has obvious advantages,which are greater magnitude and better uniformity.

关 键 词：磁场均匀性 方形载流线圈 亥姆霍兹线圈 毕奥-萨伐尔定律 

分 类 号：O441.3[理学—电磁学] TM1531[理学—物理]