Version 1
: Received: 6 August 2023 / Approved: 7 August 2023 / Online: 8 August 2023 (07:34:45 CEST)
Version 2
: Received: 19 February 2024 / Approved: 19 February 2024 / Online: 20 February 2024 (06:06:22 CET)
How to cite:
Bjornsen, G. Induced Electrostatic Fields in the Presence of Conductors and Dielectrics: A Purely Laplace Equation-Based Treatment. Preprints2023, 2023080515. https://doi.org/10.20944/preprints202308.0515.v2
Bjornsen, G. Induced Electrostatic Fields in the Presence of Conductors and Dielectrics: A Purely Laplace Equation-Based Treatment. Preprints 2023, 2023080515. https://doi.org/10.20944/preprints202308.0515.v2
Bjornsen, G. Induced Electrostatic Fields in the Presence of Conductors and Dielectrics: A Purely Laplace Equation-Based Treatment. Preprints2023, 2023080515. https://doi.org/10.20944/preprints202308.0515.v2
APA Style
Bjornsen, G. (2024). Induced Electrostatic Fields in the Presence of Conductors and Dielectrics: A Purely Laplace Equation-Based Treatment. Preprints. https://doi.org/10.20944/preprints202308.0515.v2
Chicago/Turabian Style
Bjornsen, G. 2024 "Induced Electrostatic Fields in the Presence of Conductors and Dielectrics: A Purely Laplace Equation-Based Treatment" Preprints. https://doi.org/10.20944/preprints202308.0515.v2
Abstract
This article studies electrostatic fields and potentials in the presence of conductors and point charges under the framework of solving Laplace’s equation with specifi ed boundary conditions. The results demonstrate that many problems posed and solved in elementary electrostatics through various heuristics such as the method of images, can be more rigorously treated under the solution framework of Laplace’s equation.
Keywords
potential; field; uniqueness; Legendre polynomial
Subject
Physical Sciences, Mathematical Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
