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带电细圆环与导体球壳系统的场分布
The electric field distribution of the system consisting a uniformly charged ring and a conducting sphere
【摘要】 先依电象法,推导均匀带电圆环在金属导体球壳内的"象电荷";再在球坐标系下,根据电场强度的计算公式与Tay-lor展开式,计算出均匀带电细圆环在全空间的电场分布的级数形式解;进而结合唯一性定理和电场的叠加原理,获得带电细圆环与导体球壳系统的空间场分布.
【Abstract】 According to the method of images,the "image charges" of a uniformly charged ring in a conducting sphere are studied.In spherical coordinate system,based on the electric formula and Taylor series expansion,the electric field distribution of the ring is obtained in a series form,then combined the uniqueness theorem and the superposition principle,the electric field distribution of this system are derived.
【关键词】 带电细圆环;
导体球壳;
电象法;
级数解;
【Key words】 charged ring; conducting sphere; method of images; series solution;
【Key words】 charged ring; conducting sphere; method of images; series solution;
- 【文献出处】 大学物理 ,College Physics , 编辑部邮箱 ,2007年11期
- 【分类号】O441
- 【被引频次】7
- 【下载频次】297