Exact analytical results for the electrostatic potential due to a uniformly charged finite rectangular plate
Exact analytical results for the electrostatic potential due to a uniformly charged finite rectangular plate
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DOI：
10.1139/cjp-2023-0091
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发表时间：
2023-08-08
影响因子：
1.2
通讯作者：
Ciftja，Brent
中科院分区：
文献类型：
--
作者：
Ciftja，Orion;Ciftja，Brent
我们解释了一种通用的数学方法，它允许计算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，给出了均匀带电的有限长矩形板的静电势的精确解析结果，以说明该方法的实现。这种性质的结果对于物理科学、应用数学和位势理论中的各种问题都非常重要。
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.