Electric charges induced in an eddy current field

In almost every eddy current problem, there exist induced electric charges due to the spatial change of conductivity. Therefore, the algorithm of calculating eddy currents should at the same time calculate the induced electric charges because the eddy current field is not only a magnetic field but also an electric field. In this paper, a Lorentz-Coulomb gauge magnetic vector potential formulation is presented, which calculates both eddy currents and induced electric charges.<
>