Time Harmonic Fields Produced by Circular Current Loops

Author

Griffith, James M. ; Pan, George W.

Author_Institution

E&H Resources, Inc., Phoenix, AZ, USA

Volume

47

Issue

8

fYear

2011

Firstpage

2029

Lastpage

2033

Abstract

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.

Keywords

electric fields; magnetic fields; magnetic moments; Fresnel-zone condition; circular current loops; current-carrying conductors; electric fields; far-zone condition; magnetic dipoles; magnetic fields; medicine; near-zone condition; nondestructive testing; popular small-loop equations; time harmonic fields; weapons; Electric fields; Equations; Magnetic flux density; Magnetic resonance imaging; Mathematical model; Wire; Current loop; electric field; elliptic integral; magnetic dipole; magnetic field; magnetic vector potential;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2011.2132731

Filename

5739530