Near approach of two conducting spheres: Enhancement of external electric field

被引：24

作者：

Lekner, John ^{[1
,2
]}

机构：

[1] Victoria Univ Wellington, Sch Chem & Phys Sci, Wellington, New Zealand

[2] Victoria Univ Wellington, MacDiarmid Inst Adv Mat & Nanotechnol, Wellington, New Zealand

来源：

JOURNAL OF ELECTROSTATICS | 2011年 / 69卷 / 06期

关键词：

Conducting spheres; Field enhancement; Bispherical coordinates;

D O I：

10.1016/j.elstat.2011.07.009

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

An external electric field applied to two uncharged conducting spheres in close approach is amplified (by charge separation on the spheres) in the region between the spheres. This enhancement increases without limit as the separation between the spheres decreases. We calculate the enhancement factor analytically, for spheres of radii a and b. A compact formula is given for the case where the separation s between the spheres is small compared to both a and b. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：559 / 563

页数：5

共 16 条

[1] 2 CHARGED SPHERICAL CONDUCTORS IN UNIFORM ELECTRIC FIELD - FORCES + FIELD STRENGTH [J].

DAVIS, MH .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1964, 17 (04) :499-&

[2]

DAVIS PJ, 1972, HDB MATH FUNCTIONS, pCH6

[3] On a form of the solution of Laplace's equation suitable for problems relating to two spheres. [J].

Jeffery, GB .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1912, 87 (593) :109-120

[4] Electrostatic interaction of two unequal conducting spheres in uniform electric field [J].

Jiang, ZH .

JOURNAL OF ELECTROSTATICS, 2003, 58 (3-4) :247-264

[5] Electrostatic image method for dipole moment of a chain of two unequal conducting spheres [J].

Jiang, ZH ;

Zhang, XR ;

Han, JC .

JOURNAL OF ELECTROSTATICS, 1997, 39 (01) :23-32

[6] Phenomenological local field enhancement factor distributions around electromagnetic hot spots [J].

Le Ru, E. C. ;

Etchegoin, P. G. .

JOURNAL OF CHEMICAL PHYSICS, 2009, 130 (18)

[7]

LEBEDEV NN, 1972, SPECIAL FUNCTIONS, pCH9

[8] Polarizability of two conducting spheres [J].

Lekner, John .

JOURNAL OF ELECTROSTATICS, 2011, 69 (05) :435-441

[9] Capacitance coefficients of two spheres [J].

Lekner, John .

JOURNAL OF ELECTROSTATICS, 2011, 69 (01) :11-14

[10] Analytical expression for the electric field enhancement between two closely-spaced conducting spheres [J].

Lekner, John .

JOURNAL OF ELECTROSTATICS, 2010, 68 (04) :299-304

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