Scaling law and general expression for transport ac loss of a rectangular thin strip with power-law E(J) relation

Transport ac loss Q of a superconducting rectangular thin strip obeying a power-law relation E proportional to J(n) as a function of current amplitude I-m may be, following Norris, expressed by normalized quantities as q(i(m)). A scaling law is deduced that if If I(c)f, I-c and f being the critical current and frequency, is multiplied by a positive constant C, then i(m) and q(m) are multiplied by C1/(n-1) and C2/(n-1), respectively. Based on this scaling law and the well-known Norris formula, the general function of q(i(m), n, f) is obtained graphically or analytically for any practical purpose, after accurate numerical computations on a set of q(i(m)) at several values of n and a fixed value of f. (C) 2015 Elsevier B.V. All rights reserved.