The impedance of a single-turn coil near a conducting half space
- 102 Downloads
The change in complex impedance between an ideal one-turn circular coil located above and parallel to a conducting half space with respect to a similar isolated coil has been calculated. From this result, a series expansion of the integrand allows the solution to be approximated by terms expressed as complete elliptic integrals. Results have been calculated for the change in impedance as a function of the liftoff distance and the conductivity of the half space for a coil of representative radius.
Key wordseddy current impedance liftoff conductivity
Unable to display preview. Download preview PDF.
- 1.David H. S. Cheng, The reflected impedance of a circular coil in the proximity of a semi-infinite medium,IEEE Trans. Instrumentation and Measurement,14 (3): 107–116 (September 1965).Google Scholar
- 2.C. V. Dodd and W. E. Deeds, Analytical solutions to eddycurrent probe-coil problems,J. Appl. Phys. 39 (6): 2829–2838 (1968).Google Scholar
- 3.G. Arfken,Mathematical Methods for Physicists, 2nd ed. (Academic, New York, 1970), p. 495.Google Scholar
- 4.A. Erdelyi et al.,Tables of Integral Transforms (McGraw-Hill, New York, 1954), Vol. 1, p. 183.Google Scholar
- 5.M. Abramowitz and I. Stegun,Handbook of Mathematical Functions, 9th ed. (Dover Publications, New York, 1970), pp. 334–337.Google Scholar
- 6.F. E. Terman,Radio Engineers Handbook, (McGraw-Hill, New York, 1943), p. 67.Google Scholar