Dielectric breakdown sizes of conducting plates

Mimi X. Yang, Fuqian Yang, Sanboh Lee

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageEnglish
Pages (from-to)502-513
Number of pages12
JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Issue number3
StatePublished - Jun 1 2021

Bibliographical note

Publisher Copyright:
© 2021 The Author(s) 2021. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.


  • Dielectric breakdown
  • Electric field
  • Field singularity

ASJC Scopus subject areas

  • Applied Mathematics


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