论文标题
超越有限线的磁场:使用叠加原理的教学方法
Beyond the magnetic field of a finite wire: a teaching approach using the superposition principle
论文作者
论文摘要
在电磁主义的入门课程中,通常通过一个简单的示例来解释生物 - 萨瓦特定律,以找到在空间中任何位置创建的磁场,该磁场由带有电流的小线元件。但是,研究的最简单系统由直线线组成,但是,需要更多的想象力来探索复杂几何形状中的磁场才能解决所涉及的数学。在本文中,我们提出了一种实用的方法,可以使用n-times使用有限的电流携带线来评估空间中任何点的磁场以用于各种几何配置,以评估磁场的叠加原理。这种方法使学生可以探索具有不同级别复杂性的系统,结合分析和计算技能以可视化和分析磁场。
In the introductory courses on electromagnetism, the Biot-Savart law is generally explained by a simple example to find the magnetic field created at any point in space by a small wire element that carries a current. The simplest system studied consists in a straight finite wire, however, to explore the magnetic field in complex geometries is required more imagination to solve the mathematics involved. In this paper, we present a practical methodology to use the superposition principle of magnetic fields by using n-times a finite current-carrying wire to evaluate the magnetic field at any point in space for various geometric configurations. This approach allows students to explore systems with different levels of complexity, combining analytical and computational skills to visualize and analyze the magnetic field.