Electric field and force on a conducting sphere in contact with a dielectric solid |
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| Institution: | 1. Electrical Engineering Department, Chulalongkorn University, Phyathai, Pathumwan, Bangkok 10330, Thailand;2. Central Research Institute of Electric Power Industry, 2-11-1 Iwado kita, Komae-shi, Tokyo 201-8511, Japan;3. Tokyo Denki University, 2-2 Kanda-Nishiki-cho, Chiyoda-ku, Tokyo 201-8457, Japan;1. Applied Mechanics and Systems Research Laboratory, Tunisia Polytechnic School, University of Carthage, B.P. 743, La Marsa 2078, Tunisia;2. Texas A&M University at Qatar, Mechanical Engineering Program, Engineering Building, P.O. Box 23874, Education City, Doha, Qatar;3. Department of Mechanical Engineering, TOBB University of Economics and Technology, Ankara 06560, Turkey;4. Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721, USA;1. Department of Drug Chemistry and Technology, “Sapienza” University of Rome, P.le Aldo Moro 5, 00185 Rome, Italy;2. Department of Information Engineering, Electronics and Telecommunications, “Sapienza” University of Rome, Via Eudossiana 18, 00184 Rome, Italy;3. Technical Unit of Radiation Biology and Human Health, Enea Research Center, Via Anguillarese 301, 00123 Rome, Italy |
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| Abstract: | This paper presents the analysis of electric field and force on a conducting sphere lying on a dielectric solid under a uniform field. To achieve high accuracy, we have applied the analytical method of successively placing three infinite sequences of point and dipole charges (zero- or first-order multipoles). The electric field is highest at the contact point, called the triple junction, where the conductor, the dielectric solid, and the surrounding medium (gas or vacuum) meet together. Both the contact-point field and the force increase with the permittivity ratio of the solid to that of the surrounding medium. The resulting force always attracts the sphere to the solid, in contrast to the repulsive force in the case of a conducting sphere lying on a plane conductor under an external field. We have given very simple formulae for approximating the contact-point field and the force which agree with the precise values within a difference of 3% for permittivity ratios up to 32 and 64, respectively. |
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