Transient Lorentz force density distribution in a single and double layer conducting spheres

This paper is devoted to the problem of the Lorentz force density distribution determination in a system consisting of non-concentrically oriented single and double layer conducting spheres. It is assumed that a low-conductivity object is placed in both static and pulsed uniform magnetic fields. Closed-form expressions for eddy current density and the Lorentz force density vectors are derived and validated by the finite element method (FEM). The analytical expressions presented in this paper can be deployed for determining the efficiency of numerical procedures applied to more complex configurations used in MAT-MI forward problem calculation.