Scaling Law for AC Susceptibility of a Conducting Strip With a Power-Law Dependence of Electric Field on Sheet Current Density

The perpendicular ac susceptibility χ = χ' - jχ" of a conducting thin strip of width 2a obeying a power-law dependence of electric field on sheet current density E/E
_c
= (K/K
_c
)|K/K
_c
|
^n-1
with n ≥ 1 is calculated as a function of the field amplitude H
_m
and frequency ω. A scaling law is deduced which states that χ/χ
₀
, χ
₀
being the negative of diamagnetic limit of χ, is invariant after ωaK
_c
/E
_c
and H
_m
π/K
_c
are multiplied by a constant C and C
^1/(n-1
), respectively.