Conducting cylinders in an external electric field: Polarizability and field enhancement

被引：6

作者：

Lekner, John ^{[1
,2
]}

机构：

[1] Victoria Univ Wellington, MacDiarmid Inst, Wellington, New Zealand

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

来源：

JOURNAL OF ELECTROSTATICS | 2013年 / 71卷 / 06期

关键词：

Conducting cylinder pair; Field enhancement; Polarizability; DIPOLE-MOMENT; SPHERES;

D O I：

10.1016/j.elstat.2013.10.003

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：

We obtain a simple and exact expression for the average field E-ave in the gap between cylinders of arbitrary radii and separation. For given external field E-0 parallel to the plane of the cylinder axes, E-ave/E-0 increases in proportion to S-1/2 as the separation s of the cylinders tends to zero. In addition, exact expressions are derived for the longitudinal and transverse polarizabilities of a pair of cylinders, and for their contact values. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：1104 / 1110

页数：7

共 23 条

[1]

DAREVSKI AI, 1958, ELECTR TECHNOL RUSS+, V9, P16

[2]

Jeans J.H., 1920, The Mathematical Theory of Electricity and Magnetism, V4th

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