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复杂静电场问题中电势零点选取的合理性 |
Rationality of Selecting Zero Point of Electric Potential in Complex Electrostatic Field Problem |
投稿时间:2022-04-18 修订日期:2024-02-27 |
DOI: |
中文关键词: 复杂静电场问题 电势零点 做功与能量 唯一性定理 |
英文关键词: complex electrostatic field problem work and energy electric potential zero point |
基金项目:国家自然科学基金(61905100),山西省高等学校教育教学改革创新项目(J2021138) |
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中文摘要: |
对一个复杂静电场问题分解为两个甚至多个子问题利用叠加原理进行电势求解时,如何合理地选取各个子问题的电势零点的问题进行了研究和讨论。首先讨论了电势参考点选取的任意性和相对性,然后通过一个实际的静电场问题引出了电势参考点选取的合理性。最后,从做功与能量和唯一性定理两个方面对电势参考点选取的合理性进行了分析与讨论。 |
英文摘要: |
When a complex electrostatic field problem is decomposed into two or even more sub-problems and the electric potential is solved by using the superposition principle, how to reasonably select the electric potential zero point of each sub-problem is studied and discussed. Firstly, the arbitrariness and relativity of the selection of electric potential reference point are discussed. Afterwards, the rationality of the selection of electric potential reference point is derived through a practical electrostatic field problem. Finally, the rationality is analyzed and discussed from energy and uniqueness theorem. |
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