Influence of Jc(B) on the full penetration current of superconducting tube

It is well known that the critical current density Jc of a superconducting material depends on the magnetic field B. If magnetic independent Jc is chosen for analytical calculation of current distribution, the critical current Ic corresponds to full penetration current Ip. Ic is a measured current with 1 μV/cm criterion and Ip is a calculated current. The aim of this paper is to calculate the influence of the Jc(B) variation on Ip of a superconducting tube. To calculate Ip, which is depending on the material itself, a linear function Jc(B) is sufficient to obtain realistic values by analytic way. We need to have a linear Jc(B) law that is close to the measured Jc(B) characteristics presented in this paper. The linear Jc(B) law chosen was used for the calculation of the distribution of both magnetic field B(r, t) and the current density J(r, t). These distributions allow the analytical calculation of Ip. The calculated results of magnetic field distribution and full penetration current with Bean model and linear model are compared. We also present the variation of critical current with the characteristic parameters of the material. The present results, allow to understand the relationship between the full penetration current variation of a sample and the variation of the Jc(B) characteristics.