Axial currents of power frequency flowing in filaments parallel to cylindrical shells, of finite thickness, give rise to eddy currents in the conducting material of the shell due to proximity effect. Axial currents flowing in the shell give rise to skin effect. The distribution of both these currents is determined analytically by solving the differential equation for penetration of currents in the conducting material and appropriately applying boundary conditions. The phase difference of the current density at any point of the crossection and the loss are also determined. Both, shell and current filament are assumed to have an infinite length. The material of the shell is considered to be nonmagnetic.
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Tegopoulos et al. (1971) studied this question.
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