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从平面角和立体角讨论静电场中的某些电场等价性
引用本文:曹灵吉,滕保华. 从平面角和立体角讨论静电场中的某些电场等价性[J]. 物理与工程, 2009, 19(4): 14-16
作者姓名:曹灵吉  滕保华
作者单位:1. 电子科技大学英才计划07级实验班,四川,成都,611731
2. 电子科技大学物理电子学院,四川,成都,610054
摘    要:本文利用平面角的概念讨论了均匀带电的直线微元和圆弧微元在圆心处的场强等价性,并将结论推广到一些均匀带电的线几何体;然后利用立体角的概念进一步讨论带电的平面微元和球面微元在球心处的场强等价关系,结果表明,只有非均匀的电荷面密度才能使两者等价.

关 键 词:平面角  立体角  静电场  等价性

SOME EQUIVALENCE IN THE ELECTROSTATIC FIELD BASED ON THE PLANE AND SOLID ANGLES
Cao Lingji,Teng Baohua. SOME EQUIVALENCE IN THE ELECTROSTATIC FIELD BASED ON THE PLANE AND SOLID ANGLES[J]. Physics and Engineering, 2009, 19(4): 14-16
Authors:Cao Lingji  Teng Baohua
Affiliation:1 Experimental Class 2007;University of Electronic Science and Technology of China;Chengdu;Sichuan 611731;2 School of Physical Electronics;Sichuan 610054
Abstract:According to the concept of the plane angle,the equivalence of the electric field intensities at the centre of a circle caused by the uniformly charged infinitesimal line and infinitesimal arc has been obtained.This equivalence has been extended to some complex charged lines.The relationship between the electric field intensities of the charged infinitesimal plane and infinitesimal spherical surface at the centre of the sphere based on the solid angle has been derived.The result shows that they are equivale...
Keywords:plane angle  solid angle  electrostatic field  equivalence  
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