The numerical analysis or design of an arrangement, which require electromagnetic field calculation, can be characterized by the electric and magnetic field intensities and flux densities. For determination of these field quantities in the electromagnetic field, one method is to find the solution of the partial differential equations of the field quantities under prescribed boundary conditions obtained from Maxwell's equations. The Finite Element Method (FEM) is a possible technique to solve partial differential equations, which is based on the weak form of the weighted residual method. The paper presents some potential formulations, which can be used for solving static magnetic field problems and eddy current field problems with the help of FEM. Some examples are also presented at the second part of the paper. © 2008 Akadémiai Kiadó.