论文标题

螺线管的磁场的新型精确分析表达

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

论文作者

Behtouei, Mostafa, Faillace, Luigi, Spataro, Bruno, Variola, Alessandro, Migliorati, Mauro

论文摘要

在本文中,我们介绍了通过使用新方法的精确求解分数积分来得出螺线管的磁场的分析计算。从《生物 - 萨瓦特法》(Biot-Savart Law)开始,我们认为固定电流的厚度可忽略不计。我们得出ON和OFXES磁场成分的表达式。结果已与一些简化和已知的分析公式以及显示良好一致的商业数值代码进行了比较。

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.

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