论文标题
两个导电球之间的静电力的精确闭合形式和渐近表达
Exact closed-form and asymptotic expressions for the electrostatic force between two conducting spheres
论文作者
论文摘要
我们提供了精确的闭合形式表达式，并在两个带电的传导球体之间的静电力的完全渐近膨胀。使用力的渐近膨胀，我们确认即使是带电的球体，除非其电压/电荷与接触的电压/电荷相同，否则在足够小的分离中相互吸引。我们表明，对于足够大的不对称性，当两个球体$ \ textit {增加} $之间的排斥与触点分开时，如果它们的电压或收费保持恒定。此外，我们表明，在恒定电压情况下，可以通过最佳球体分离的较大球体上的电压的最佳$ \ textit {降低} $进一步增加和最大化。
We present exact closed-form expressions and complete asymptotic expansions for the electrostatic force between two charged conducting spheres of arbitrary sizes. Using asymptotic expansions of the force we confirm that even like-charged spheres attract each other at sufficiently small separation unless their voltages/charges are the same as they would be at contact. We show that for sufficiently large size asymmetries, the repulsion between two spheres $\textit{increases}$ when they separate from contact if their voltages or their charges are held constant. Additionally, we show that in the constant voltage case, this like-voltage repulsion can be further increased and maximised though an optimal $\textit{lowering}$ of the voltage on the larger sphere at an optimal sphere separation.
