HW04 - For both cases, calculate the electric field in the...

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C:\User\Teaching\505-506\F10\HW04.doc PHY 505 Classical Electrodynamics I Fall 2010 Homework 3 (due Friday Oct. 8) Problem 4.1 (to be graded of 20 points). Complete the cylinder problem started in class (see Fig. on the right), for the cases when voltage on the top lid equals: (i) V = V 0 J 1 ( 11 / R )sin , where 11 3.832 is the first root of function J 1 ( x ), and (ii) V = V 0 = const.
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Unformatted text preview: For both cases, calculate the electric field in the centers of the lower and upper lids. Problem 4.2 (20 points). Use the variable separation method to find the potential distribution outside and inside a thin spherical shell of radius R , with fixed potential ( R , , ) = V sin cos . x y z ) , ( V R L...
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