螺线管磁场的数值解

为了研究电磁学和电工技术中必须计算的螺线管的磁场,从已知的圆电流的矢势和磁感应强度出发,用定积分的微元法求出螺线管的磁矢势和磁感应强度的函数解,取螺线管的半径为1、长度为6,用复合高斯公式编程分别计算出螺线管内外不同点的磁感应强度矢量的分量和其量值,以9个图形表示出来.比较了不同数目复合区间计算结果的有效数字,指出除了螺线管的管壁处数值只有3位有效数字外,其余各点的数值至少有10位有效数字.

The numerical solution of the magnetic field induced by a solenoid

In order to study the magnetic field of solenoid which is necessary in electromagnetics and electrician technology, based on the known vector potential and magnetic induction intensity, the functional solution for magnetic vector potential and magnetic induction intensity of solenoid by the mini-element method in definite integral theory were derived. Assume that the radius of the solenoid is 1 and the length is 6, the vector and its value of magnetic induction intensity of different points in both inside and outside the solenoid was obtained through the computation of compound Gauss formula and showed by nine figures. The number of significant figures in different results of compound zone which indicated that except the numerical value of the significant figures were also compared, at the edge of solenoid was only 3 the rest of them were all above 10.