The immutability of the critical current under any sample cross-sectional form modification

The temperature and size dependences of the critical currents in bismuth-based high-temperature superconducting ceramic samples consisting of randomly oriented grains have been studied in zero magnetic field. It is shown that the critical current is a function of the sample cross-sectional area only. At constant sample cross-sectional area the value of the critical current is independent of any variation of a sample cross-sectional shape. At the same time the distributions of the critical current density and induced magnetic field in ceramics are functions of the sample cross-sectional shape. These values very in accordance with a change of the sample cross-sectional shape (at constant cross-sectional area i.e. at constant value of the critical current). The field and current distributions in the rectangular sample are reported.