带电圆面场强公式适用范围的分析与探讨

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英文篇名：Analysis and Discussion on Applicable Ranges of Formulas of Electric Field Intensity from Charged Circular Plane 作者：王丽娜 ; 赵兴宇 英文作者：Wang Lina;Zhao Xingyu;College of Physical Science and Technology,Yili Normal University; 关键词：带电圆面 ; 电场强度 ; 适用范围 ; 微观非均匀 英文关键词：charged circular plane;;electric field intensity;;applicable range;;microscopic heterogeneity 中文刊名：WLTB 英文刊名：Physics Bulletin 机构：伊犁师范学院物理科学与技术学院; 出版日期：2019-04-05 出版单位：物理通报 年：2019 基金：伊犁师范学院教育教学改革项目,项目编号:JGKC17155 语种：中文; 页：WLTB201904001 页数：5 CN：04 ISSN：13-1084/O4 分类号：4-8

摘要

针对带电圆面场强常见公式的适用问题及其与直观结果相矛盾的情况,构建了带电圆面模型,采用数值模拟计算的方法,得到了不同带电圆面体系产生的场强结果.分析了矛盾产生的原因,在一定的相对精度下,分别给出了带电圆面轴线上场强公式可以适用、电荷可认为均匀连续分布、带电圆面轴线上场强公式可简化为无限大带电平面场强公式和带电圆面可简化为圆心处等量点电荷结果的条件与范围.
        A model of charged circular plane is created to study applicable ranges of some common formulas of electric field intensity from charged circular plane,the results of which are inconsistent with intuitionistic ones.Electric field intensities of some charged circular plane systems are calculated by computer simulation.Then the contradiction is anlyzed and conditions,which is about electric field intensity formula on axe of circular plane being applied,charges being regarded as continious and homogeneous distribution,electric field intensity formula on axe of charged circular plane being reduced to one of infinite charged plane and charged circular plane being reduced to equivalent charges on the centre of itself,are gained under a certain relative precision.

引文

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