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关于《有限长带电导体直线的电荷分布》的商榷
Discussion on “The electric charge density distribution of a charged conducting definite straight line”
【摘要】 本文指出了一篇文献中有限长带电直线导体的电荷分布线密度公式的错误,用多种方法证明了带电线段的电荷分布是均匀的.推导了均匀带电线段的等势线方程和电场方程,证明带电线段就是等势线,电场线与线段垂直.证明了线段外的电势满足三维拉普拉斯方程,从而证明均匀带电线段是导体.
【Abstract】 The error in the formula of the charge distribution linear density of a finite-length charged linear conductor in the literature is pointed out, and a variety of methods are used to prove that the charge distribution of the charged wire section is uniform. The equipotential line equation and electric field equation of the uniformly charged section are deduced, and it is proved that the charged section is the equipotential line, and the electric field line is perpendicular to the line section. It is proved that the electric potential outside the line segment satisfies the three-dimensional Laplace equation, so as to prove that the uniformly charged line segment is a conductor.
【Key words】 charged straight line; charge density; projection method; electric potential; dimensionless drawing;
- 【文献出处】 大学物理 ,College Physics , 编辑部邮箱 ,2022年06期
- 【分类号】O441.1
- 【下载频次】77