A new theorem in electrostatics with applications to calculable standards of capacitance
作者:
D.G.Lampard,
期刊:
Proceedings of the IEE - Part C: Monographs
(IET Available online 1957)
卷期:
Volume 104,
issue 6
页码: 271-280
年代: 1957
DOI:10.1049/pi-c.1957.0032
出版商: IEE
数据来源: IET
摘要:
The paper presents what is believed to be a new theorem in electrostatics, showing that the direct capacitance of a very general type of cylindrical 3-terminal capacitor is a constant, namely (logε2)/4π2.The presentation and proof of this theorem is followed by a detailed analysis of a cylindrical 3-terminal capacitor of rectangular cross-section, in which the effects of various practical limitations are evaluated in quantitative terms. The results of similar analyses of cylindrical 3-terminal capacitors of other cross-sections are stated.As a consequence of this work, it appears that such cylindrical 3-terminal capacitors are extremely attractive as precise calculable standards of capacitance, only one precision length measurement being necessary to enable their capacitance to be computed to a high order of accuracy.
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