论文标题
电容矩阵重新审视
Capacitance matrix revisited
论文作者
论文摘要
电容矩阵与导体系统上的电势和电荷有关。我们审查并严格地概括了其性质，块对基结构和不平等，从导体系统的几何形状和介电性张量的分析性能中得出。此外，我们讨论了电容矩阵正规化的替代选择，这使我们能够找到在导体具有同等潜力之间交换的电荷。最后，我们讨论了电路标准处理中使用的隐性近似值，以表明如何从电容矩阵中恢复并联和串联电容的电容的公式。
The capacitance matrix relates potentials and charges on a system of conductors. We review and rigorously generalize its properties, block-diagonal structure and inequalities, deduced from the geometry of system of conductors and analytic properties of the permittivity tensor. Furthermore, we discuss alternative choices of regularization of the capacitance matrix, which allow us to find the charge exchanged between the conductors having been brought to an equal potential. Finally, we discuss the tacit approximations used in standard treatments of the electric circuits, demonstrating how the formulae for the capacitance of capacitors connected in parallel and series may be recovered from the capacitance matrix.
