Abstract
The complex ac susceptibility of an infinitely long hard superconducting rectangular(2a × 2b) bar is calculated numerically with the uniform ac field applied along the2b dimension, based on the critical-state model with a constantJc. Normalized to the exact low-field limit of , χ0, and as functions of the field amplitudeHm normalized to the exact full penetration fieldHp are given in figures and tables for . The numerical results are compared with existing exact andapproximate analytical results. It is found for any value ofb/a that withincreasing Hm/Hp, is proportional to and inversely proportional toHm at and , respectively. The maximum at a certain intermediate Hm/Hp decreases and then increases with increasingb/a, showing a minimum value at . The low-field linear dependence of on Hm at low b/a is qualitatively different from the prediction of a one-dimensional calculation for a thinstrip, whose low-field varies as Hm2.
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