The paper deals with a procedure for the computationof the magnetic induction and vector potential generated in a homogeneous material by a curl-free, steady-state current density distribution. For a wide set of prismatic field source geometries, this procedure permits an accurate computation of the field inside the source, even if the current density is strongly non uniform. To compute the field, a numerical integration of an analytical expression is performed along the source longitudinal coordinate, with a dramatic reduction of the computation time with respect to a direct 3D straightforward numerical integration. In the full paper, the main aspects and limits of the procedure are presented, together with its application to a set of very important source geometries. Numerical examples and a comparison with the finite element method are also presented and discussed.
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