标题： 量纲分析和均匀带电板的电势 显示英文标题

标题： Dimensional Analysis and electric potential due to a uniformly charged sheet

摘要： 量纲分析、叠加原理和电势连续性被用来研究均匀带电正方形平板在其平面上的电势。 结果表明，知道正方形平板对角线和内部的电势等价于知道其平面上任何位置的电势。 得到了正方形中心附近电势的行为。 然后获得了正方形平板平面上任意点的电势的精确解。 该结果用于计算直角三角形平板在其平面上的电势，这可以用来求解任何均匀带电多边形平板平面上任意点的电势。 显示英文摘要

摘要： Dimensional analysis, superposition principle, and continuity of electric potential are used to study electric potential of a uniformly charged square sheet at its plane. It is shown that knowing the electric potential on the diagonal and inside the square sheet is equivalent to knowing it everywhere on the plane of square sheet. Behavior of electric potential near the center of the square is obtained. Then exact solution for the electric potential at any point on the plane of the square sheet is obtained. This result is used to calculate the electric potential of a right triangular sheet on its plane which can be used to find electric potential at any point on the plane of any uniformly charged polygon sheet.