Time Harmonic Fields Produced by Circular Current Loops

• Published in: IEEE transactions on magnetics Vol. 47; no. 8; pp. 2029 - 2033
• Main Authors: Griffith, James M., Pan, George W.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-08-2011; Institute of Electrical and Electronics Engineers
• Subjects: Cross-disciplinary physics: materials science; rheology; Current loop; electric field; Electric fields; elliptic integral; Equations; Exact sciences and technology; magnetic dipole; magnetic field; Magnetic flux density; Magnetic resonance imaging; magnetic vector potential; Materials science; Mathematical model; Other topics in materials science; Physics; Wire; magnetic field; Magnetic dipoles; Potentials; Current loop; magnetic vector potential; Magnetic field effects; electric field; magnetic dipole; Magnetic fields; Electric fields; Magnetic properties; elliptic integral
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/TMAG.2011.2132731

New analytic expressions for the magnetic and electric fields generated by circular current loops (magnetic dipoles) are derived. They apply to near-zone, Fresnel-zone, and far-zone conditions; they asymptotically reduce to the popular small-loop equations in the far-zone. Analytical expressions for the fields produced by current-carrying conductors are valuable because of their rarity. They offer physical insight and a way to test the numerical methods needed for solving more complex problems. Areas for application include medicine, weapons, and nondestructive testing.