A Novel method to calculate the magnetic field of a Solenoid generated by a surface current element

TL;DR

This paper introduces a new analytical method to calculate the magnetic field of a solenoid generated by surface currents, validated against numerical simulations, enhancing understanding of magnetic field distributions.

Contribution

The paper presents a novel analytical approach to derive the magnetic field of a solenoid with surface currents, improving upon existing methods.

Findings

Analytical solutions agree well with numerical simulations.

Method accurately computes on- and off-axis magnetic fields.

Provides a new tool for magnetic field analysis of solenoids.

Abstract

The purpose of this paper is to derive the on and off-axes magnetic field of a solenoid with the use of a novel method. We have found a solution for the Biot-Savart law by considering the solenoid with a stationary electric current. The results have been compared to numerical simulations showing a good agreement.