Forces and torques between two square current loops

Article type: Research Article

Authors: Yang, Z.J.^{a; *} | Hull, J.R.^a | Lockwood, J.A.^b | Rossing, T.D.^b

Affiliations: [a] Argonne National Laboratory, Argonne, IL 60439, USA | [b] Department of Physics, Northern Illinois University, DeKalb, IL 60115, USA

Correspondence: [*] Corresponding author. Present address: Lucent Technologies, 2000 N. Naperville Rd., Naperville, IL 60566, USA. Fax: +1 630 713-7886; E-mail: zjyang@lucent.com.

Abstract: We derive closed-form expressions for the magnetic forces and torques between two coaxial square current loops as a function of their relative tilt angle. These expressions involve simple numerical integrations. An analytic expression for the torsion constant at zero tilt angle is derived for loop filaments and for loops of finite axial extent.

Keywords: magnetic bearing, magnetic force

DOI: 10.3233/JAEM-1999-129

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 10, no. 1, pp. 63-76, 1999