Magnetization of hysteretic superconductors for complete field penetration and a critical-state model with Jc(H)=α/H

A critical-state model with Jc(H)=α/H has been developed for cylindrical geometries. It qualitatively describes the shape of magnetization curves obtained on multifilamentary superconducting wire and it accurately predicts the hysteretic loss. The size dependence of the hysteretic loss for this model is essentially the same as the Bean-London model result. However the maximum magnetization for this model is proportional to R1/2. The temperature dependence of the hysteretic loss and α have been determined from magnetization data for NbTi wire.