The potential of a uniformly charged planar structure with shape of a rose curve

IF 0.6 4区 教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES
Sheng Chen, yanyi wu, Chang Xin, Baohua Teng
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引用次数: 0

Abstract

The electric potential U(θ) of a uniformly charged plane with a rose-curve shape (referred to as a "rose disk") satisfies a 'roselike curve function,' and there exists an asymptotic expression for the potential when the observation point is far from the rose disk. To validate the accuracy of the model, a constant electric current field was employed to simulate the electrostatic field. The potential distribution characteristics of uniformly charged circular discs and trilobal rose discs in the experimental setting were equivalently obtained by the experiment of electrolytic tank. The results indicate that under the non-idealized constraints of real experimental conditions, the asymptotic formula can be used as an analytical method to quickly study the rose disk potential.
形状为玫瑰曲线的均匀带电平面结构的电势
具有玫瑰曲线形状的均匀带电平面(称为 "玫瑰盘")的电动势 U(θ) 满足 "玫瑰曲线函数",当观测点远离玫瑰盘时,存在电动势的渐近表达式。为了验证模型的准确性,采用了恒定电流场来模拟静电场。实验环境中均匀带电圆盘和三叶形玫瑰盘的电势分布特性等同于电解槽实验得到的结果。结果表明,在实际实验条件的非理想化约束下,渐近公式可作为快速研究玫瑰盘电势的分析方法。
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来源期刊
European Journal of Physics
European Journal of Physics 物理-物理:综合
CiteScore
1.70
自引率
28.60%
发文量
128
审稿时长
3-8 weeks
期刊介绍: European Journal of Physics is a journal of the European Physical Society and its primary mission is to assist in maintaining and improving the standard of taught physics in universities and other institutes of higher education. Authors submitting articles must indicate the usefulness of their material to physics education and make clear the level of readership (undergraduate or graduate) for which the article is intended. Submissions that omit this information or which, in the publisher''s opinion, do not contribute to the above mission will not be considered for publication. To this end, we welcome articles that provide original insights and aim to enhance learning in one or more areas of physics. They should normally include at least one of the following: Explanations of how contemporary research can inform the understanding of physics at university level: for example, a survey of a research field at a level accessible to students, explaining how it illustrates some general principles. Original insights into the derivation of results. These should be of some general interest, consisting of more than corrections to textbooks. Descriptions of novel laboratory exercises illustrating new techniques of general interest. Those based on relatively inexpensive equipment are especially welcome. Articles of a scholarly or reflective nature that are aimed to be of interest to, and at a level appropriate for, physics students or recent graduates. Descriptions of successful and original student projects, experimental, theoretical or computational. Discussions of the history, philosophy and epistemology of physics, at a level accessible to physics students and teachers. Reports of new developments in physics curricula and the techniques for teaching physics. Physics Education Research reports: articles that provide original experimental and/or theoretical research contributions that directly relate to the teaching and learning of university-level physics.
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