Input Resistance of Horizontal Loops Above a Conducting Ground Plane
Article first published online: 7 DEC 2012
Copyright 1971 by the American Geophysical Union.
Volume 6, Issue 11, pages 1011–1013, November 1971
How to Cite
1971), Input Resistance of Horizontal Loops Above a Conducting Ground Plane, Radio Sci., 6(11), 1011–1013, doi:10.1029/RS006i011p01011.(
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Received: 7 JUN 1971
Analytical expressions are derived for the resistance of a finite loop with a uniform current distribution located above a lossy half-space. For loops of radii p0 large relative to the skin depth δ of the lossy medium, the resistance remains the same as for a long, straight, horizontal wire. For p0 much less than δ, the loop resistance is proportional to the square of (p0/δ). Numerical solutions show that the above formulas are not valid under conditions of nonuniform loop current at loop elevations h that are a small fraction of δ. The resistance expressions of a magnetic dipole are obtained only in the limit of h ≫ δ.