HW05 - in Fig. below. (The gaps between the conducting...

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1 C:\User\Teaching\505-506\F10\HW05.doc PHY 505 Classical Electrodynamics I Fall 2010 Homework 5 (due Friday Oct. 15) Problem 5.1 (to be graded of 10 points). Use the method of images to find the Green’s function of the system shown in Fig. on the right. (The bulge on the conducting plane has the shape of a semi-sphere of radius R .) Problem 5.2 (15 points). Find the 2D Green’s function in: (i) unlimited free space, and (ii) free space above a conducting plane. Use the latter result to calculate the distribution of the electric potential created by the 2D system shown
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Unformatted text preview: in Fig. below. (The gaps between the conducting fragments are negligibly small.) Problem 5.3 (15 points). Solve the same 2D boundary problem which has been discussed in class (see Fig. on the right) using: (i) the finite difference method, with a finer square mesh, h = a /3, and (ii) the variable separation method. Compare the results (at the mesh points only) and comment. x y 2 / w 2 / w V z R V a a...
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