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Forces and torque on a pair of uncharged conducting cylinders in an external electric field
Institution:1. Young Researchers and Elite Club, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran;2. Esfarayen University, Engineering and Technical College, Mechanical Engineering Department, Esfarayen North Khorasan, Iran;3. Department of Mechanical Engineering, Yazd University, Yazd, Iran;4. Department of Mechanical Engineering, Babol University of Technology, Babol, Iran;1. Electromagnetics Research Laboratory, Amirkabir University of Technology, Tehran, Iran;2. Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran;3. Department of Electrical, Electronic, and Information Engineering, University of Bologna, Bologna, Italy;1. Bioactive Resources for Innovative Clinical Applications Research Unit and Department of Pharmacy Practice, Faculty of Pharmaceutical Sciences, Chulalongkorn University, PhayaThai Road, Phatumwan, Bangkok 10330, Thailand;2. Department of Chemical Engineering, Faculty of Engineering, Chulalongkorn University, PhayaThai Road, Phatumwan, Bangkok 10330, Thailand;1. Laboratory of Phytoprotection Science and Technology, Faculty of Agriculture, Kinki University, Nara 631-8505, Japan;2. Pharmaceutical Research and Technology Institute, Kinki University, Osaka 577-8502, Japan;3. Research and Development Division, Kagome Co., Ltd., Tochigi 329-2762, Japan;4. Technical Development Unit, Panasonic Environmental Systems & Engineering Co., Ltd., Osaka 564-0062, Japan;5. Agricultural, Food and Environmental Sciences Research Center of Osaka Prefecture, Osaka 583-0862, Japan;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
Abstract:Exact results are given for the forces per unit length acting on each of a pair of parallel conducting cylinders when polarized by an external electric field perpendicular to the cylinders. Simple analytic results are obtained at small and large separations of the cylinders. The torque on the cylinders (which acts to align them with the electric field) is proportional to the difference between the longitudinal and transverse polarizabilities. The forces acting on the cylinders (which are equal and opposite) are given by the derivatives of the polarizabilities with respect to their separation.
Keywords:Force  Torque  Conducting cylinders  External field
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