Two types of problems are solved corresponding to two types of excitations. Both problems result in a constant magnetic flux density in the domain. The input files with body current excitation are categorized as CCBL (constant curl body load) problems, and the input files with surface current excitation are categorized as CCSC (constant curl surface current) problems.

CCBL problems:

The domain in two-dimensional problems is a square lying in the first quadrant of the plane; in three-dimensional problems the domain is a cuboid lying in the first octant in space. For the differential equation , the solution sought is , where . For this solution the first term in the differential equation vanishes. Therefore, a nonuniform body load (CJNU) of is applied everywhere in the domain. Nonzero (*D EM POTENTIAL) boundary conditions on the outer boundary and symmetry boundary conditions on the symmetry planes are also specified.

CCSC problems:

The domain in two-dimensional problems is a quarter of a circle lying in the first quadrant of the plane; in three-dimensional problems the domain is quarter of a cylinder lying in the first octant in space, with the axis of the cylinder aligned along the global -direction. Surface current loads are specified on the outer boundary as a Neumann-type boundary condition. Symmetry boundary conditions are specified on the symmetry planes. The analytical solution in this case is , which is the same as that of the CCBL problems.

Material properties:

Magnetic permeability of H/m or N/A² for free space is used throughout. A small electrical conductivity (compared to that of a metal) of = 1.0 or 0.58 S/m is used.

Excitation frequency:

rad/s, 50 or 60 Hz.