Advertisement

The Electrostatic Force on a Dielectric Sphere Resting on a Conducting Substrate

  • Wm. Y. Fowlkes
  • K. S. Robinson

Abstract

The electrostatic force of removal is calculated for a sphere in contact with a grounded plane in an externally applied electric field that is normal to the plane. The electrostatic force is given by the sum of the Lorentz force QE0 , where Q is the free charge on the sphere and E0 is the applied electric field, and the electrical force between the sphere and the plane. The force between the sphere and the plane can be described by the interaction between the bound and free charges on the sphere, whose distribution is strongly influenced by the polarization of the sphere, and their images in the plane. The polarization charge distribution of the sphere is described by a linear multipole expansion. The multipole terms are calculated by a simple, iterative, self-consistent scheme, in which the externally applied field and the image charges induce the polarization of the sphere. The net electrostatic force on the sphere is given by the sum of the force on each linear multipole in the expansion. Two novel results of this force computation are found. The force on the higher order multipoles increases with the applied electric field more rapidly than the Lorentz force. For a given charge level, a field magnitude exists above which the net electric force is adhesional. Furthermore, an optimum charge level exists that minimizes the field required for electrostatic removal.

Keywords

Lorentz Force Adhesion Force Applied Electric Field Ground Plane Point Charge 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    R. M. Schaffert, Electrophotography, p. 52, Focal Press, London, 1980.Google Scholar
  2. 2.
    H. Krupp, Adv. Colloid Interface Sci., 1, 111 (1967).CrossRefGoogle Scholar
  3. 3.
    N. S. Goel and P. R. Spencer, Polym. Sci. Technol., 9B (Adhes.Sci. Technol.), pp. 763–829, L. H. Lee, Editor, Plenum Press, New York, 1975.Google Scholar
  4. 4.
    K. J. McLean, J. Air Pollution Control Assoc, 27, 1100 (1977).Google Scholar
  5. 5.
    P. W. Dietz and J. R. Melcher, in Control and Dispersion of Air Pollutants: Emphasis on NO and Particulate Emissions, R. L. Dyers, D. W. Cooper, and W. Licht, Editors, p. 166, American Institute of Chemical Engineers, New York, 1978.Google Scholar
  6. 6.
    T. B. Jones and G. A. Kallio, J. Electrostatics, 6, 207 (1979).CrossRefGoogle Scholar
  7. 7.
    T. B. Jones, J. Electrostatics, 6, 69 (1979).CrossRefGoogle Scholar
  8. 8.
    T. B. Jones, in Proc. IEEE-IAS 1984 Annual Meeting, p. 1136, IEEE, 1984.Google Scholar
  9. 9.
    T. B. Jones, J. Electrostatics, l8, 55 (1986) .CrossRefGoogle Scholar
  10. 10.
    J. D. Jackson, Classical Electrodynamics, p. 136, John Wiley, New York, 1975.Google Scholar
  11. 11.
    J. A. Stratton, Electromagnetic Theory, p. 172, McGraw Hill, New York, 1941.Google Scholar
  12. 12.
    K. S. Robinson and W. Y. Fowlkes, to be published, J. Electrostatics.Google Scholar
  13. 13.
    M. H. Davis, Am. J. Phys., 37, 26 (1969).CrossRefGoogle Scholar
  14. 14.
    D. S. Rimai, (1986), unpublished data.Google Scholar
  15. 15.
    J. D. Cobine, Gaseous Conductors, p. 164, Dover, New York, 1958.Google Scholar
  16. 16.
    L. Marks, (1987), personal communication.Google Scholar

Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • Wm. Y. Fowlkes
    • 1
  • K. S. Robinson
    • 1
  1. 1.Copy Products Research and DevelopmentEastman Kodak CompanyRochesterUSA

Personalised recommendations