# HW01 - Problem 1.4 (10 points). The system analyzed in...

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C:\User\Teaching\505-506\F10\HW01.doc PHY 505 Classical Electrodynamics I Fall 2010 Homework 1 (due Friday Sep. 17) Problem 1.1 (to be graded of 10 points). Calculate the electric field created by a thin, long, straight filament, electrically charged with a constant linear density , using two approaches: (i) directly from Eq. (8), and (ii) using the Gauss law. Problem 1.2 (10 points). Use any two (different) approaches you like to calculate the distribution of electrostatic potential and electric field E created, in otherwise free space, by a plane layer of thickness t, with a uniformly distributed charge of volume density (see Fig. on the right). Problem 1.3 (10 points). .Calculate: (i) the distribution of and E in space, and (ii) the electrostatic energy per unit area, of two thin, parallel planes with equal and opposite charges of constant areal density , separated by distance d (see Fig. on the right).
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Unformatted text preview: Problem 1.4 (10 points). The system analyzed in Problem 1.3 (two thin, parallel, oppositely charged planes) is now placed inside an external, uniform, normal electric field E ext = / see Fig. on the right. Find the forces (per unit area) acting on each plane, by two methods: (i) directly from the electric field distribution, and (ii) from the potential energy of the system. Problem 1.5 (10 points). . (i) By a direct calculation, find the average electric potential of the spherical surface of radius R , created by a point charge q located at distance r > R from the spheres center. (ii) Use the result to prove the following general mean value theorem : The electric potential at any point is always equal to its average value on any spherical surface with the center at that point, and containing no electric charges inside it. d t ext E...
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## This note was uploaded on 09/10/2011 for the course PHY 505 taught by Professor Stephens,p during the Fall '08 term at SUNY Stony Brook.

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