HW06 - density of each conducting plate Problem 6.3(10...

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1 C:\User\Teaching\505-506\F10\HW06.doc PHY 505 Classical Electrodynamics I Fall 2010 Homework 6 (due Friday Oct. 29) Problem 6.1 (to be graded of 10 points). An electric dipole is located above an infinite conducting plane. Calculate: (i) the distribution of the induced charge in the conductor, (ii) the force and the torque acting on the dipole, and (iii) the dipole-to-plane interaction energy. Problem 6.2 (10 points). A plane capacitor, with zero voltage between its conducting plates (as may be fixed, e.g., with an external wire – see Fig. on the right), is partly filled with a material with spontaneous, constant polarization P 0 . Find the distributions of the electric field, electric displacement, and the surface charge
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Unformatted text preview: density of each conducting plate. Problem 6.3 (10 points). A point charge q is located at distance r >> R from the center of a uniform sphere of radius R , made of a linear dielectric. In the first nonvanishing approximation in small parameter R / r , calculate: (i) the interaction force, and (ii) the energy of interaction between the sphere and the charge. Problem 6.4 (10 points). A uniform electric field E has been created (by external, remote sources) inside a uniform, linear dielectric. Find the changes of field E , created by cutting out a cavity in the shape of a round cylinder of radius R , with the axis perpendicular to the external field (see Fig. on the right). d p 1 d 2 d P R r E...
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