磁介质中的球形空腔问题

THE PROBLEM OF THE SPHERICAL HOLE INSIDE MAGNETIC MEDIUM

对于均匀磁化的磁介质内的球形空腔问题.通常认为腔外仍为均匀磁场 H_0,腔内磁场强度为 H=((μx+2) /3) H_0. 本文指出上述结果的错误,并通过求解满足一定边值关系的Laplace方程获得问题的正确结果.

As for the problem of the spherical hole inside the evenly magnetized magnetic medium,people usually think that the outside of the hole still remains to be an evenly mag netic field H_0,and the magnetic field strength inside the hole is H_0=(μ_r+2) /(3) H_0. This article points out the error of the above conclusion and at the same time,reaches the correct solution of this problem by finding the solution of the Laplece equation with a certain boundary condition.