Problem description
The problem setup is shown in Figure 1. It depicts a conductive cylindrical rod with an encircling current-carrying coil of rectangular cross-section centered along the length of the rod. The conductive cylindrical rod has a radius of m and a length of m. Its conductivity and relative magnetic permeability are assumed to be = 1.0 × 107 S/m and = 1.0. The inner and outer radius and the thickness of the encircling coil are m, m, and m. The current density in the coil is assumed to have a magnitude of = 1.0 × 107 A/m2 and is oscillating with a frequency of = 50 Hz. The current is assumed to be flowing along the azimuthal direction in a clockwise sense when looking toward the negative z-direction. The medium surrounding the rod and coil setup is assumed to have properties similar to that of a vacuum. For these parameters, the skin depth of the conductor is about = 22.5 mm, which is smaller than the conductor radius of 50 mm.