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New solutions for charge distribution on conductor surface |
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| Institution: | 1. Missouri Botanical Garden, PO Box 299, St. Louis, MO 63166, USA;2. Research Centre for Plant Growth and Development, School of Life Sciences, University of KwaZulu-Natal, Private Bag X01, Pietermaritzburg, Scottsville 3209, South Africa;3. Compton Herbarium, South African National Biodiversity Institute, Private Bag X7, Claremont 7735, South Africa;4. Applied Behavioural Ecology and Ecosystem Research Unit (ABEERU), School of Environmental Sciences, University of South Africa, Private Bag X6, Florida 1710, South Africa |
| Abstract: | In the paper, a problem of electrostatics for charge distribution on a conductor surface is analytically solved for three new particular cases of conducting surfaces with complicated shape and specified value of electrostatic potential. The exact analytical expressions for surface charge density for the bodies are obtained. All the solutions are represented in a clear view of 3D graphs. It is shown that the proposed method of electrostatic problem for conductors allows to obtain infinitely many numerical solutions for the problem but only several special cases can be solved analytically. |
| Keywords: | Charge distribution Analytical solution Problem of electrostatics Conductor |
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