带电细圆环以及薄圆盘的空间电场分布

带电细圆环以及薄圆盘空间电场分布
  孝义市第五中学:蔺金林
摘  要:  先介绍电位的两种计算方法,一种是用点电荷的电位分布来计算电位(参考点在无穷远时),一种是用电位与场强的积分关系式来计算电位.然后用两种不同的方法求出均匀带电薄圆盘轴线上的电位和电场.根据点电荷电势和电场的叠加原理,导出了均匀带电细圆环电势和电场的级数表达式,再用叠加法推广到均匀带电圆盘周围空间的电场分布(将均匀带电薄圆盘分割成同心的带电圆环,先求出任一带电圆环电位的空间分布,再进行叠加,由点电荷在空间激发电场的电位公式,用两种方法,一种是线电荷元分割法,一种是面电荷元分割法,求出均匀带电圆盘电位的空间分布).
关键词:均匀带电圆环; 均匀带电圆盘; 电场; 电位
The Space Distribution Of Electric Field Of Charged Thin Ring As Well As Thin Disc
ABSTRACT:  In this paper, we first introduce two computational methods of the electric potential, one kind is that calculat山魈魔怪ing the electric potential with the point charges’ potential d
istribution (reference point is in infinite distance), another oneVRF is that calculating the electric potential with the electric potential and the field intensity integral relationship. Then extract the spool thread on the even charged thin disc with two different methods. According to the principle of superposition of终极人类 electric potential and the electric field ofxingjing the point charge1yyss, derive the progression expression of the electric potential and the electric field on the even charged thin ring, again we will use the method of superposition to promote the space distribution of electric field (Divide the even charged thin disc to many a concentric charged rings. Extract first the electric potential spatial distribution no matter where on a charged ring. Again carry on the superposition. From the formula of electric potential stirred up by a point charge, we deduce the space distribution of a uniform charged discs electric potential 一个阿富汗大兵的亡命之旅with two methods. One kind is the line charge method, one kind is the surface charge method).
KEYWORDS:Even charged ring; Even charged disc; Electric field; Electric potential

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标签:电位   带电   电场   圆盘   空间   分布   圆环   叠加
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