摘要
从毕奥-萨伐尔定律出发,推导出密绕在旋转椭球面上载流线圈磁场的积分计算式.利用Mathematica-10先对方位角φ积分并将结果表达为第一类和第二类完全椭圆积分的线性组合,进而绘制出形象直观、高精确度的磁场三维分布图.数值结果直观地表明:椭球内部全空间的磁场是均匀的,磁感应强度处处大小相等、方向相同;当nI值一定时,长轴与短轴的比值b/a越大,椭球内磁场越强.
Based on the Biot-Savart law,an integral expression of the magnetic field induced by steady current tightly wound ellipsoidal coil was derived.Using the Mathematica-10,an integral result for the azimuth angle was expressed as the linear combination of the first and the second kinds of complete elliptic integral,and then three-dimensional maps of the distribution of the magnetic field were plotted.The results showed：1）Inside the ellipsoidal coil,the magnetic field was uniform;2）Thebigger the ratio of the long axis and the short axis,the stronger was the magnetic field.
出处
《物理实验》
2017年第9期12-15,共4页
Physics Experimentation
基金
广东省高等学校物理专业综合改革试点项目(No.XM060012物理学9010-15281)
