Current degradation and coupling losses in ring shaped wires due to applied magnetic field changes

The stationary electric field and current distribution in a ring-shaped wire subject to both parallel and perpendicular applied magnetic fields are calculated. The time derivative of the parallel field is limited for the center of the wire to be unsaturated. The transient response of an infinitely long wire due to a parallel applied magnetic field B^A shows that B^A itself is limited for the center of the wire to be unsaturated. The measured V-I characteristic of a ring-shaped wire is linearly dependent on the frequency of the applied field but nonlinearly dependent on the amplitude. This means that the stationary analysis is not complete and transient effects must be considered