Electrical Behavior and Current Transfer Length of Fe- and Cu-Sheathed MgB $_2$ Superconducting Single-Core Wires

Estimation of the current transfer length (CTL) and the electric field of single-core superconducting wires for various materials having different cross-sectional compositions of superconducting core:barrier:sheath material are theoretically studied employing an analytical method. The results indicate that Fe-sheathed single-core superconducting wires can be preferable as compared to Cu-sheathed single-core wires having identical geometry. Among the studied wire geometries, the least CTL value of 0.374 and 0.629 mm for MgB $_{2}$ :Ti:Fe and MgB $_{2}$ :Monel:Fe wires, respectively, suggest that single-core superconducting wire fabricated with these geometrical combination can be operational with the lowest electrical dissipation. Furthermore, this technique can also be extended to study electrical properties of various combinations of materials that are used for the fabrication of single-core superconducting wires.