A Novel Exact Analytical Expression for the Magnetic Field of a Solenoid

Autor: Behtouei, Mostafa, Faillace, Luigi, Spataro, Bruno, Variola, Alessandro, Migliorati, Mauro
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv