Abstract

An analytical expression for the eddy current forces on a circular current loop moving with constant velocity over a thin conducting sheet is derived in this paper. This calculation is based on using the boundary conditions across the conducting sheet to solve for the total magnetic vector potential. The eddy currents in the sheet and the forces on the sheet are first presented in the ‘quasi-static’ limit and the perfect conductor limit. Finally, an analytical expression for both the drag and lift force is derived.

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