Abstract
The relation of the critical current density J c to the lower critical field H g of bulk granular superconductors is quantitatively described. H g is the critical field of the full shielding effect of the weak link network and represents the magnetization characteristics of the entire bulk superconductor. The maximum self-field produced by transport critical current in a granular superconductor was found to be approximately equal to H g. D.C. magnetization measurements show that H g ≤ 12 Oe at 77 K for BiPbSrCaCuO superconducting materials prepared by the cast-annealing method. It is a linearly decreasing function of temperature: d H g/d T ≈ −0.34 Oe K −1. Many experiments show that the critical current density derived from H g for sintered samples with rectangular section agrees with the real transport J c. This procedure for evaluating J c is also suitable for other high T c polycrystalline materials.
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