均匀带电有限矩形板的静电势的精确分析结果

IF 1.1 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

Canadian Journal of Physics Pub Date : 2023-06-12 DOI:10.1139/cjp-2023-0091

O. Ciftja, Brent Ciftja

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引用次数: 0

摘要

我们解释了一种一般的数学方法，它允许人们计算由任意长度和宽度的均匀带电矩形板在空间中的任意点产生的静电势。在特殊情况下，给出了均匀带电有限矩形板的静电势的精确解析结果，以说明公式的实施。这种性质的结果对物理科学、应用数学和势理论中的各种问题都非常重要。

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Exact analytical results for the electrostatic potential due to a uniformly charged ﬁnite rectangular plate

We explain a general mathematical method that allows one to calculate the electrostatic potential created by a uniformly charged rectangular plate with arbitrary length and width at an arbitrary point in space. Exact analytical results for the electrostatic potential due to a uniformly charged ﬁnite rectangular plate are shown for special cases in order to illustrate the implementation of the formalism. Results of this nature are very important to various problems in physical sciences, applied mathematics and potential theory.

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来源期刊

Canadian Journal of Physics 物理-物理：综合

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

1.7 months

期刊介绍： The Canadian Journal of Physics publishes research articles, rapid communications, and review articles that report significant advances in research in physics, including atomic and molecular physics; condensed matter; elementary particles and fields; nuclear physics; gases, fluid dynamics, and plasmas; electromagnetism and optics; mathematical physics; interdisciplinary, classical, and applied physics; relativity and cosmology; physics education research; statistical mechanics and thermodynamics; quantum physics and quantum computing; gravitation and string theory; biophysics; aeronomy and space physics; and astrophysics.