辛普森积分法求解圆电流激发的磁场

Magnetic Field of Circular Current by Simpson Integral Method

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 magnetic field distribution is obtained by mathematical software. Then the magnetic field in the core and central axis is analyzed,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.