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Electrostatic field and potential of a supported sphere-plane system inside an earthed chamber

机译:接地室内支撑球面系统的静电场和电势

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摘要

The electrostatic field and potential of a supported sphere-plane electrode system placed inside a chamber are calculated from solutions of Laplace's equation using the extrapolated Liebmann method with the help of a digital computer. Calculations are made for gap/radius ratios of 1, 0.5 and 0.25, inside chambers of different sizes, and sphere-supporting rods of various dimensions up to a spherically capped cylinder. These calculations show that, in many cases, the electric field on the axis can be calculated using the analytical expression for an isolated sphere-plane system.
机译:借助数字计算机,使用外推李布曼方法,通过拉普拉斯方程的解,可以计算放置在室内的支撑球面电极系统的静电场和电势。计算间隙,半径比为1、0.5和0.25,不同尺寸的腔室内以及各种尺寸的球支撑杆,直至球冠圆柱体。这些计算表明,在许多情况下,可以使用隔离球面系统的解析表达式来计算轴上的电场。

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