Analysis of a circular earthing plate

E. K N Yung, Wai Yip Tam

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 Citations (Scopus)


A Fredhol integral equation of the first kind is developed for finding the charge distribution on a circular conducting plate buried in a homogeneous earth. The method of moments is used to solve the functional equations. Techniques are developed to evaluate and differentiate a singular integral by numerical means. An extremely fast rate of convergence is gained by expanding the charge distribution in functions with an appropriate singularity. It is observed that currents are dispersed into the earth in a small region near the edge of the disc. Contrary to popular perceptions, the earthing resistance of a disc is not inversely proportional to its area. A simple empirical formula for enumerating the earthing resistance of a disc in terms of its radius, its depth of burial, and the conductivity of the earth is derived.
Original languageEnglish
Pages (from-to)385-390
Number of pages6
JournalIEE Proceedings C: Generation Transmission and Distribution
Issue number6
Publication statusPublished - 1 Nov 1989
Externally publishedYes

ASJC Scopus subject areas

  • General Engineering


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