journal article·2020-06-01Open access

Closed-form expressions for the magnetic fields of rectangular and circular finite-length solenoids and current loops

S. Hampton, R. A. Lane, R. M. Hedlof, R. E. Phillips, C. A. Ordonez

AIP Advances· Volume 10· Issue 6

Abstract

A summary of closed-form expressions for the magnetic fields produced by rectangular- and circular-shaped finite-length solenoids and current loops is provided altogether for easy reference. Each expression provides the magnetic field in all space, except locations where a current of infinitesimal thickness is considered to exist. The closed-form expression for the magnetic field of a rectangular-shaped finite-length solenoid is derived using the Biot–Savart law. Closed-form expressions for the magnetic fields of solenoids and current loops can be used to avoid approximations in analytical models and may reduce computation time in computer simulations.
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Research context

OpenAlex topics: Particle accelerators and beam dynamics · Scientific Research and Discoveries · Magnetic confinement fusion research

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Physics, University of North Texas 1 , Denton, Texas 76203, USA

Air Force Research Laboratory 2 , Albuquerque, New Mexico 87106, USA

Funding

National Science Foundation

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