Exact closed-form solution for the electrostatic interaction of two equal-sized charged conducting spheres
Exact closed-form solution for the electrostatic interaction of two equal-sized charged conducting spheres
复制标题
两个等尺寸带电导电球静电相互作用的精确封闭解
DOI：
10.1088/1742-6596/646/1/012016
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
M. Levy
中科院分区：
文献类型：
--
作者：
Shubho Banerjee;M. Levy
我们给出了两个大小相等的导电球的静电相互作用的精确闭合解。我们根据Digamma函数的Q-模拟来计算球体的电容系数。在接近极限时，当两个球体即将接触时，闭合形式的精确解比众所周知的无穷级数解的数值计算速度快得多。通过对近似极限下的精确解的分析，给出了两球面间距离的电容系数的泰勒级数表达式。
We provide an exact closed-form solution for the electrostatic interaction of two equal-sized conducting spheres. We calculate the capacitance coefficients for the spheres in terms of the q-analogue of the digamma function. In the near limit, when the two spheres are about to touch, the closed-form exact solutions allow for much faster numerical calculations than the well-known infinite series solutions. By analyzing the exact solution in the near limit, we provide Taylor series expressions for the capacitance coefficients in terms of the surface-to- surface separation of the two spheres.