Electrostatics of Slender Bodies
- 1 January 1967
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 38 (1) , 192-196
- https://doi.org/10.1063/1.1708951
Abstract
The electrostatic field in the neighborhood of a slender, axisymmetric conductor is expanded in prolate-spheroidal harmonics to obtain approximations to the capacitance, the dipole moments induced by both axial and transverse fields, and the induced charge on a grounded boss in a uniform field. The capacitance calculated for a right-circular cylinder with δ=diameter/length<1 is found to be within 5% of the more accurate results calculated by Smythe. The corresponding comparisons for the dipole moments and the induced charge on a cylindrical boss are less impressive for non-small δ but suggest the general utility of the slender-body approximation for δ of the order of 10−1 or less.This publication has 5 references indexed in Scilit:
- The force exerted by an electric field on a long cylindrical conductorProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1966
- Diffusion into a slender growing rootProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1965
- Some methods for flows past blunt slender bodiesJournal of Fluid Mechanics, 1964
- Charged Right Circular CylinderJournal of Applied Physics, 1962
- Electric polarizability of a short right circular conducting cylinderJournal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics, 1960