Bipolar charging and discharging of a perfectly conducting sphere in a lossy medium stressed by a uniform electric field
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Zahn_Bipolar charging.pdf
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5.55 MB
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Author(s)
Hwang, J. George
Zahn, Markus
Pettersson, Leif A. A.
Date Issued
April 2011
Journal
Journal of Applied Physics
Publisher
American Institute of Physics (AIP)
Citation
Hwang, J. George, Markus Zahn, and Leif A. A. Pettersson. “Bipolar Charging and Discharging of a Perfectly Conducting Sphere in a Lossy Medium Stressed by a Uniform Electric Field.” Journal of Applied Physics 109.8 (2011): 084331. © 2011 American Institute of Physics
Version
Final published version
Abstract
Generalized analysis is presented extending recent work of the charging of a perfectly conducting sphere from a single charge carrier to two charge carriers of opposite polarity, with different values of volume charge density and mobility and including an ohmic lossy dielectric region surrounding a perfectly conducting sphere. Specific special cases treated are: (1) unipolar positive or negative charging and discharging and (2) bipolar charging and discharging; both cases treating zero and nonzero conductivity of the dielectric region surrounding a sphere. It is found that there exists a theoretical limit to the amount of charge, either positive or negative, that can accumulate on a perfectly conducting sphere for a specific applied electric field magnitude, permittivity of the surrounding medium, and sphere size. However, in practice this saturation charge limit is not reached and the sphere is charged to a lower value due to the nonzero conductivity of the surrounding medium and the existence of both positive and negative mobile carriers. Moreover, it is the respective effective conductivities of these positive and negative carriers, as well as the conductivity of the surrounding medium, which strongly influences the sphere’s lowered saturation charge limit, charge polarity, charging rate, and discharging rate.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1063/1.3563074
