摘要
在电磁学中，磁场概念非常抽象，缺乏直观性，传统教学难以帮助学生建立清晰的物理图像。本文以无限长载流直导线激发的磁场为例，基于毕奥-萨伐尔定律，得到单根、双根及多根载流导线的磁感应强度表达式。基于Mathematica软件设计程序，绘制单根直流导线磁感线分布图，并进一步研究双根及多根交流导线体系的磁场叠加效应，绘制交互式动画以呈现磁场随时间和空间的动态变化。结果表明，Mathematica软件能够将抽象的磁场概念转化为直观图像，为电磁学教学提供了有效的辅助工具，极大地提升了教学效果。
关键词： Mathematica；磁场分布；载流导线；可视化
Abstract
In electromagnetism, the concept of magnetic fields is highly abstract and lacks intuitiveness. Traditional teaching methods often struggle to help students establish a clear physical picture. Taking the magnetic field generated by the infinite straight current-carrying wire as an example, this paper derives expressions for the magnetic flux density of both single and multiple wires based on the Biot-Savart law. Utilizing the Mathematica software, programs are designed to plot the magnetic field line distribution for a single DC wire. Furthermore, the magnetic field superposition effect in systems of both two and three AC wires are investigated, and interactive animations are created to visualize the dynamic evolution of the magnetic field in both space and time. The results demonstrate that Mathematica effectively transforms abstract magnetic field concepts into intuitive visualizations. This provides a powerful auxiliary tool for electromagnetism pedagogy, significantly enhancing teaching and learning outcomes.
Key words： Mathematica; Magnetic field distribution; Current-carrying wires; Visualization
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