The Electric Permittivity of a Dilute Suspension of Membrane-Covered Ellipsoids
J. Appl. Phys. 24, 644 (1953); doi:10.1063/1.1721343
Issue Date: May 1953
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This theoretical paper deals with the low frequency permittivity (
) of a dilute suspension (conductivity
, volume concentration
), in a conducting medium (conductivity
s, permittivity
s), of ellipsoidal particles (major axis 2a) each composed of a conducting core covered with a nonconducting surface membrane (thickness t, permittivity
m). The quantity [
−(
/
s)
s]/(
a
m/t) is expressed in terms of Weierstrass' elliptic functions of the axial ratios, for parallel and random arrangement of the ellipsoidal axis. A table of its numerical values is given.
Journal of Applied Physics is copyrighted by The American Institute of Physics.
) of a dilute suspension (conductivity
, volume concentration
), in a conducting medium (conductivity
s, permittivity
s), of ellipsoidal particles (major axis 2a) each composed of a conducting core covered with a nonconducting surface membrane (thickness t, permittivity
m). The quantity [
−(
/
s)
s]/(
a
m/t) is expressed in terms of Weierstrass' elliptic functions of the axial ratios, for parallel and random arrangement of the ellipsoidal axis. A table of its numerical values is given.
Journal of Applied Physics is copyrighted by The American Institute of Physics.
| History: | Received January 5, 1953 |
| Permalink: |
http://link.aip.org/link/?JAPIAU/24/644/1 |
REFERENCES (8)
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- H. Fricke,
Phys. Rev. 26, 678 (1925) . - H. Fricke,
Phys. Rev. 24, 575 (1924) . - A. H. H. Tallqvist, Finska Vetenskaps—soc. Acta Soc. Sci. Fennicae. Helsingfors. 17, 491 (1891).
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