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A method for calculating three-dimensional eddy-current distributions has previously been described. It consists of using magnetic scalars to model fields in regions in which eddy currents do not flow, coupled to a three-component vector, the magnetic vector potential A, which describes the field inside eddy-current-carrying conductors. Applying boundary conditions to the region containing A is straightforward only in very simple cases. A technique for removing this limitation is described here. Results are substantiated by comparison with two test problems taken from the literature.