Aa. Kolyshkin et R. Vaillancourt, SINGLE-TURN COIL IMPEDANCE CHANGE DUE TO A CIRCULAR TUBE WITH RADIALLY VARYING PROPERTIES, Arabian journal for science and engineering, 22(2C), 1997, pp. 111-120
The change in impedance of a single-turn coil coaxially situated insid
e a metal tube is found in the case where the tube conductivity, sigma
(r)=sigma(0)r(alpha), and magnetic permeability, mu(r) = <(mu)over til
de>r(beta), are functions of the radial coordinate, r, for real number
s alpha and beta satisfying the condition alpha+beta=-2 or alpha+beta=
0. Numerical computations are presented for different values of the pa
rameters of the problem.