Eddy Current Distriburion in Cylindrical Shells of Finite Length and of the Cylindrical Boundary Due to Axial Currents Part I: Cylindrical Hole with Symmetrical Excitation

Axial currents of power frequency flowing in filaments of infinite length parallel to a cylindrical shell of one cylindrical boundary and finite length give rise to eddy currents due to proximity effect. As a first case, a hole in a conducting material is considered between two parallel planes with the current filament placed at the axis of the hole. The distribution of the proximity effect current is determined analytically in this case by solving the differential equation for penetration of currents in the conducting material and appropriately applying boundary conditions. The conducting material is non-magnetic.