Power Losses of a Type‐II Superconducting Slab of Arbitrary Thickness

Abstract

AbstractThe distribution of the internal and external magnetic vector potentials of systems of a type‐II superconducting infinite slab of arbitrary thickness subjected to (i) a vibrating wire (between two vibrating wires) carrying dc currents, (ii) a normal conducting wire (between two wires) carrying ac currents, are obtained. A modified London equation is developed to study these systems in case the slab is moving. The power losses on the surface of the slab and its two constituent terms due to dissipated and reactive energies are calculated. The rcactive term is found to be either capacitivel or inductively reactive. It is found that the power losses are dependent on frequency, London penetration depth, permeability, conductivity, velocity, and the distance between the normal conductors and the surfaces of the superconducting slab. Moreover, the power losses decrease as the distance between the normal conductors and the surfaces of the superconducting slab decreases, and increase as frequency, London penetration depth, permeability, conductivity, velocity increase. These analytical solutions can be used for testing the superconducting slabs in motion and the related problem of the losses of moving superconductors. In the limiting case, a satisfactory agreement with previous results is achieved.