有限长螺线管的磁场分布和漏磁现象的再探索  

FURTHER EXPLORATION OF THE DISTRIBUTION OF MAGNETIC FIELD AND THE MAGNETIC FLUX LEAKAGE PHENOMENON OF THE FINITE LENGTH SOLENOID

作　　者：于欣峰 刘义东[2] 刘普生[2] 王建东[2] 吴喆[2] 

机构地区：[1]电子科技大学微电子与固体电子学院,四川成都610054 [2]电子科技大学物理电子学院,四川成都610054

出　　处：《物理与工程》2016年第1期68-71,共4页Physics and Engineering

基　　金：全国大学生学术物理竞赛(CUPT)对本科生创新能力培养作用的研究(电子科技大学教学改革研究项目;项目编号:2015XJYYB019)

摘　　要：为了辅助大学物理电磁学教学,加深学生对螺线管模型的理解,本文采用毕奥萨伐尔定律给出有限长螺线管在空间的磁场的具体数学表达式,并绘制出磁力线和磁感应强度分布.在获得磁场分布的基础上,本文还深入研究螺线管侧壁的漏磁,并提出相对磁通量的概念来描述漏磁.本文的研究结果表明,螺线管长度约等于直径时侧壁的漏磁最严重,约为螺线管中心横截面上最大磁通量的40%.本文结论对螺线管的工程应用和大学物理电磁学教学中螺线管的模型的深入理解有一定的价值.In order to assist the teaching and studying of university physics electromagnetics and deepen the students＇ understanding of solenoid model, the mathematical formulas of the magnetic field of a finite length solenoid are proposed by using the Biot-Savart Law and the magnetic field lines and magnetic field distribution are also given. Base on the magnetic field distribution, the of magnetic flux leakage on the solenoid＇s side wall is further studied and the concept of relative magnetic flux is also put forward to describe the magnetic leakage flux. Following deeper analysis, we find maximun magnetic flux leakage on the side wall of the so- lenoid when the length of the solenoid approximates its diameter. The maximun magnetic flux leakage is about 400/oo of that on the central cross section of the solenoid. This conclusion is useful for engineer applications of the solenoid and deeper understanding of the model of the solenoid in teaching and studying of university physics electromagnetism.

关 键 词：大学物理教学 有限长螺线管 磁场分布 漏磁 

分 类 号：O441-4[理学—电磁学] G642[理学—物理]