在大学物理的电磁学教学中，求解载流圆线圈激发的磁场是一个非常经典的问题.处理这类问题时，传统的方法是利用Biot-Savart定律进行矢量积分运算.该种方法得到的积分式无法用初等函数表示，仅在远场情形下能通过近似化为偶极子形式.本文提出了一种创新解法，在剔除了自由电流的空间中引入磁标势，求解拉普拉斯方程；并用轴线上的场强定解，避免了匹配边界条件的繁琐过程，成功得到了磁感应强度的级数解.通过数值计算，验证了此方法得到的解与矢量积分法得到的结果是吻合的，在电磁学教学中具有较大的启发意义.

 In the teaching of electromagnetics in college physics, it is a very classical problem to solve the magnetic field excited by a current carrying circular coil. When dealing with this kind of problem, the traditional method is to use Biot Savart's law for vector integration The integral formula obtained by this method can not be expressed by elementary functions, and can only be approximated to the dipole form in the far field case In this paper, an innovative solution is proposed, in which the magnetic scalar potential is introduced into the space without free current to solve the Laplace equation; By using the field strength on the axis to determine the solution, the tedious process of matching the boundary conditions is avoided, and the series solution of the magnetic induction is successfully obtained Through numerical calculation, it is verified that the solution obtained by this method is consistent with the result obtained by the vector integral method, which is of great significance in electromagnetics teaching.