用PENTIUM微机计算HELMHOLTZ线圈的1％均匀磁场区

Calculation of 1 % Even Magnetic Fleld Region of Helmholtz Coil Using Pentium Microcomputer

分别导出了理想的和实际的Ｈｅｌｍｈｏｌｔｚ线圈在其轴线平面内任一点的磁感强度的数学表达式，并采用具有最高代数精度的Ｇａｕｓｓ－Ｌｅｇｅｎｄｒｅ求积公式在Ｐｅｎｔｉｕｍ９０微机上，分别对理想的和实际的Ｈｅｌｍｈｏｌｔｚ线圈进行了系列的数值计算。计算表明，无论理想的还是实际的Ｈｅｌｍｈａｌｔｚ线圈的均匀磁场区都与文献［１］所说的椭球区域有不少差别，尤其发现，具有一定宽度和厚度的实际Ｈｅｌｍｈｏｌｔｚ线圈的均匀磁场区并不是一个连续的区域。

In this paper the mathematical expressions for the magnetic inductive strength of theoretical and practical helmholtz coil an arbitrary point in the plane passing through the axis of Helmholtz coil are derived respectively, and a series of nunerical computations are performed for theoretical and practical Helmholtz coil respectively by using Gauss-Legendre numerical integral forumla with the highest algcbraic precision in Pentium 90 microcomputer.The results obtained indicate that there are some difference between even magnetic field region of both theoretical and practical helmholtz coil and the ellipsoid region described in reference[1], especially, it is found that the practical Helmholtz coil's even magnetical field region with a definite width and thickness is not a continuous one.