任意形状平面载流线圈在远点处的磁场计算

The magnetic field far away from a plane current coil of any shape

在电磁场中,经常计算圆环、矩形、三角形等规则平面载流线圈特殊点(如中心轴线上)的磁场分布规律,而复杂一些的问题,例如规则平面载流线圈的远点和任意点的磁场分布规律由于数学处理繁杂一般不加以计算。实践中通过对规则平面载流线圈中心轴线上任意一点和与该线圈共面的对称线上的任意一点的磁场分布规律的整理分析,用二者合成的方法,经推广得出一般性规律,可以解决任意形状的平面载流线圈在远点处这一类的磁场计算问题。

When we make calculation the magnetic field of a current coil, our text books usually gives the results of some regular plane coil at special point, such as on the central axis of a circular or a rectangle or a triangle coil, but some complex problems such as any point far away from a plane coil are not mentioned by reason of miscellaneous mathematics handling. This paper gives the general results of the magnetic field at any point far away from irregular shape plane current coil through the methods as follows. We first make calculation the field of regular plane coil at the points on its central axis and on its symmetrical axis in the coil＇s plane, then sum them up using vector rules.