Closed-form solution for a pair of touching cylindrical conductors in an external electric field |
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| Institution: | 1. Department of Industrial Physics, Landmark University, P.M.B. 1001, Omu-Aran, Kwara State, Nigeria;2. Department of Physics, University of Ilorin, P.M.B. 1515, Ilorin, Nigeria;1. University Center for Space Research and Technologies, Sofia University, Sofia, Bulgaria;2. Istituto Nazionale di Geofisica e Vulcanologia, Rome, Italy;3. ICTP, Trieste, Italy;4. Dipartimento di Scienze Fisiche e Chimiche dell’Università dell’Aquila, L’Aquila, Italy;1. Department of Physics, College of Sciences, Yasouj University, Yasouj 75914-353, Iran;2. Department of Physics, College of Sciences, Shiraz University of Technology, Shiraz 71555-313, Iran |
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| Abstract: | We give expressions for the electric potential and field around two conducting cylinders in contact, in closed form and in terms of elementary functions. The polarizability tensor, and hence the torque acting on the cylinder pair, follow from these results. The surface charge density, and the total charge per unit length on each cylinder, can also be evaluated in closed form. The equal and opposite forces on the two cylinders are found in the case of equal cylinder radii. |
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| Keywords: | Cylindrical conductors in contact External field |
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