本文运用电磁场理论的基础知识，研究定速旋转均匀带电球壳在全空间的磁场分布．首先由于电流分布具有对称性，对应的磁场呈轴对称性；直接根据毕奥-萨伐尔定律写出了某点磁感应强度的两个分量，并进行了数值模拟，计算球壳内、外的磁场，结果显示球壳内部为均匀磁场．其次，利用磁标势和磁多极方法分别讨论了该磁场，通过对比球壳外磁场发现了该问题中电流分布具有一定的特殊性．最后讨论了单根通以恒定电流的细导线紧致无堆叠的缠绕而成的球壳激发的磁场．

This paper uses the basic knowledge of electromagnetic field theory to study the magnetic field distribution of a uniformly charged spherical shell rotating at a constant speed in the whole space. First, due to the symmetry of the current distribution, the corresponding magnetic field is axially symmetric; the two components of the magnetic induction intensity at a certain point are directly written according to the BiotSavart law, and numerical simulation is performed to calculate the magnetic field inside and outside the spherical shell. The results show that the inside of the spherical shell is a uniform magnetic field. Secondly, the magnetic field is discussed respectively using the magnetic scalar potential and the magnetic multipole method. By comparing the magnetic field outside the spherical shell, it is found that the current distribution in this problem has certain particularities. Finally, the magnetic field excited by a spherical shell formed by a single thin wire with a steady current passing through it is discussed.