As a result of field fringing, the capacitance of a parallel-plate capacitor differs from that predicted by the textbook formula. Using singular perturbations and conformal mapping techniques, we calculate the leading-order correction to the capacitance in the limit of large aspect ratio. We additionally obtain a comparable approximation for the electrostatic attraction between the plates.

中文翻译：

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平行板电容器的边缘校正

由于场边效应，平行板电容器的电容与教科书公式预测的不同。使用奇异扰动和保形映射技术，我们计算了大纵横比限制下电容的前导校正。我们还获得了板之间静电吸引力的可比近似值。