定轴转动带电体的全空间磁场分布

Whole-space analysis of the magnetostatic field of charged rotary non-conductive body

求定轴匀角速转动带电体的磁场是一类典型的静磁场边值问题。传统的解法之一是用磁矢势结合边界条件解拉普拉斯方程或泊松方程 ,其过程复杂 ,计算冗长。文章利用场的叠加原理 ,由定轴转动带电面的空间磁场分布解出定轴转动实心带电球体、带电球壳、带电无限长柱体、带电无限长圆筒的空间磁场分布 ,并进行相应的讨论和分析。

Computation of the magnetic field,which is produced by a charged body rotating about a fixed axis, is a classical question about magnetostatic boundary-value problem. One of the traditional solutions is to solve Laplace's equation or Poisson's equation with the help of magnetic vector potential and the boundary conditons, but the process is complicated. In this paper, based on the distribution of magnetic field of charged surface which rotates about fixed axis, we determined the magnetic field produced by a charged body rotating about fixed axis in the space, such as sphere, spherical shell and cylinder with infinite length, and the corresponding discussion and analysis have been given.