The Dielectric Ring in a Uniform, Axial, Electrostatic Field
- 1 September 1972
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 13 (9) , 1297-1304
- https://doi.org/10.1063/1.1666135
Abstract
The exact solutions for the fields inside and outside a dielectric ring in a uniform, axial, electrostatic field are derived in the system of toroidal coordinates. Comparison is made with the perturbation solution generated by inverse aspect ratio expansion, and it is shown how the exact solution may be truncated to any desired accuracy. The cylindrical limits of the exact and truncated solutions are obtained.Keywords
This publication has 1 reference indexed in Scilit:
- VII. On the steady motion and small vibrations a hollow vortexPhilosophical Transactions of the Royal Society of London, 1884