Survey, study and review of coordinate system notations using 3D environment for better understanding of EM fields behavior

K. Rana, Mohammed Laeeq Shaikh, Sayyad Ajij Dildar
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引用次数: 3

Abstract

Present study of electric and magnetic fields should involve many new techniques to improve understanding and interest among new learners in this area. Keeping this in mind, we studied the origin of study from coordinate notations. Three commonly used coordinates systems are namely; Cartesian, Cylindrical and Spherical coordinate system. In Cartesian coordinate system notations for representing any point P are (x, y, z), which is unique at worldwide, simple and lead no confusion. But the problem arises when cylindrical and spherical coordinate systems are used. Notations of these two coordinate systems are different in various literatures and create confusion among readers most of the time. This paper mainly focus on the conventions used in electromagnetic (EM) theory which induce unwillingness of study among students in this EM related subjetcs. It also expalin an alternative to improve its understanding in terms of increasing simplicity in the notations. This study is supported by a survey conducted across various university colleges students and faculties. We used an animation softwares for explaining physics behind the mathematics. We do not shy to illustrate basic concepts of coordinate system in detail using simple notations in 3D and hand-drawn images.
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利用三维环境调查、研究和回顾坐标系统符号,以便更好地理解电磁场的行为
目前的电场和磁场的研究应该涉及许多新技术,以提高新学习者对这一领域的理解和兴趣。记住这一点,我们从坐标符号研究了研究的起源。常用的三种坐标系分别是;直角坐标系、柱坐标系和球坐标系。在笛卡尔坐标系中表示任意点P的符号是(x, y, z),这在世界范围内是唯一的,简单且不会引起混淆。但是,当使用柱坐标系和球坐标系时,问题就出现了。在各种文献中,这两种坐标系的符号不同,很多时候会让读者感到困惑。本文主要探讨了电磁学理论中常用的一些惯例,这些惯例导致了学生对电磁学相关学科的不情愿。它还解释了一种替代方法,以增加符号的简单性来提高其理解。这项研究得到了一项对各大学学院学生和教员进行的调查的支持。我们使用动画软件来解释数学背后的物理。我们并不羞于在三维和手绘图像中使用简单的符号详细说明坐标系统的基本概念。
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