In this work, we propose mathematical formulations that detail the effect of the dielectric strength of dielectric material on the spatial distribution of electric field in an infinite space with a conducting plate. Using the dielectric strength of air as the maximum limit for the magnitude of electric field intensity and the equivalence of stored charge between two different zones, we determine the size of the dielectric breakdown region (the extended region with ionized material) for the conducting strip and the conducting disk charged to an electric voltage. The size of dielectric breakdown is proportional to the square of the applied voltage, and decreases with the increase of the width/radius of the conducting strip/disk.

中文翻译：

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导电板的介电击穿尺寸

在这项工作中，我们提出了数学公式，详细说明了介电材料的介电强度对具有导电板的无限空间中电场空间分布的影响。使用空气的介电强度作为电场强度大小的最大限制和两个不同区域之间存储电荷的等效性，我们确定了导电条的介电击穿区域（具有电离材料的扩展区域）的大小和导电盘充电到电压。介电击穿的大小与外加电压的平方成正比，并随着导电条/盘的宽度/半径的增加而减小。