磁场安培环路定理证明的新方法

THE NEW PROOF METHODS OF MAGNETIC AMPERE LOOP THEOREM

大学物理中磁场的安培环路定理是学生重点掌握的内容之一,安培环路定理的证明也是必须要讲解的内容.现有的教材在证明环路不包围电流的情况时多采用圆心角的方法证明,本文给出了两种新的证明方法,此方法借用了环路中包围电流的环路积分结果,方法简单、明了,在国内广泛使用的教材中未见出现此证明方法.

The magnetic Ampere loop theorem in the college physics is one of the key contents for students,the proof of which is also the must be explained.In current textbooks,the condition that the loop does not surround current is proved by the centre angle method.In this paper,two new methods are given,in which the integral result of loop surrounding current is taken over.These methods are simple and clear.Moreover,the new methods have not been found in the widely used textbooks of domestic.