辛普森积分法求解圆电流激发的磁场

摘要

利用辛普森积分法，借助数学软件，获得了圆电流磁场在整个三维空间分布的新解析解。根据解析解分析了圆电流的圆心和中心轴线上的磁场；找到了圆电流磁场三个分量之间的数量关系；直观地描述了磁场的大小、方向以及空间分布规律；定量分析了圆电流轴向磁场的匀强区变化。%Using Simpson integral method for the circular current, the new analytic solution of three-dimension mag-netic field distribution is obtained by mathematical software.Then the magnetic field in the core and central axis is an-alyzed, the numerical relationship among three components is found, the magnitude, direction and spatial distribution is described, and the magnetic field change of uniform strong region along axial direction is discussed.