A Novel Exact Analytical Expression for the Magnetic Field of a Solenoid
Accelerator Physics
2023-01-12 v2
Abstract
In this paper we present the analytical calculations to derive the magnetic field of a solenoid by solving exactly a fractional integral with the use of a novel method. Starting from the Biot-Savart law, we consider a coil of negligible thickness with a stationary electric current. We derive the expressions of the on and off-axes magnetic field components. The results have been compared to some simplified and known analytical formulae as well as to a commercial numerical code showing a good agreement.
Cite
@article{arxiv.2002.09444,
title = {A Novel Exact Analytical Expression for the Magnetic Field of a Solenoid},
author = {Mostafa Behtouei and Luigi Faillace and Bruno Spataro and Alessandro Variola and Mauro Migliorati},
journal= {arXiv preprint arXiv:2002.09444},
year = {2023}
}