Week 4 Solns

Week 4 Solns - Electromagnetics Workshop Week 4 Solutions...

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Electromagnetics Workshop – Week 4 Solutions Gauss’s Law Problem 1: A very long cylinder of uniform (constant) volume charge density 3 4 [C/m ] v K ρ = has a radius of 4 [m] = . Surrounding this charge is a very long cylinder of uniform surface charge density 2 8 [C/m ] s K = , having a radius of 8 [m] = . ( 4 K and 8 K are arbitrary constants.) Find the electric field vector in all regions of space. 1
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Electromagnetics Workshop – Week 4 Solutions Gauss’s Law 2
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Electromagnetics Workshop – Week 4 Solutions Gauss’s Law Problem 2: A point charge of strength q [C] is located at the center of a spherical cloud of non- uniform charge density ( 29 3 2 [C/m ] v r a ρ = - . The radius of the spherical cloud is a. Find the vector electric field E at all points in space, including the region inside the charge density and outside the charge density. 3
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Electromagnetics Workshop – Week 4 Solutions Gauss’s Law Problem 3: An infinite planar slab of charge exists from 0 [m] x = to
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Week 4 Solns - Electromagnetics Workshop Week 4 Solutions...

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