Low frequency impedance of a round superconducting wire |
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Authors: | Fedor G m ry,Riccardo Tebano |
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Affiliation: | a Pirelli Cavi e Sistemi, Milan, Italy b University of Milan, Department of Physics, Milan, Italy |
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Abstract: | We calculated the electric field E on the surface of a straight superconducting wire with circular cross-section carrying AC transport current I=Iacosωt. Performing the Fourier analysis of E, we found that both components of the first harmonic have the same form: the critical current Ic in prefactor and the rest depending on the ratio F=Ia/Ic. The in-phase component leads to the classical result of loss calculation, while the out-of-phase component was derived for the first time. Thus the wire can be symbolized by a complex self-inductance L1(I)=L1′(I)−jL1″(I) where L1′ represents the reactive power while L1″ the losses. When the lock-in amplifier, used to sort out the components of the first harmonic, is utilized in the wide-band mode, it allows one to determine the magnetic flux penetrated in the wire volume at two significant moments of the AC cycle: at zero current (remanent flux) and at the amplitude value of current. |
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Keywords: | Transport AC loss Self-inductance Flux penetration Superconducting wire |
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