ECE309-2008-hw5

ECE309-2008-hw5 - ECE 309 Electromagnetic Fields University...

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Unformatted text preview: ECE 309 Electromagnetic Fields University of Virginia Fall 2008 Homework # 5 Dielectrics and Capacitors Due: Wednesday, October 1 1. A thick spherical shell (inner radius a , outer radius b ) is filled with dielectric material with a frozen in polarization, ~ P = kr r , where k is a constant and r is the distance from the center (there is no free charge in this problem). Find the electric field in all three regions ( r < a, a < r < b , and r > b ) by two different methods: (a) Locate all the bound charge and calculate the field it produces. (b) Use Gausss Law to find ~ D and then obtain ~ E . 2. Consider a uniformly polarized sphere of radius R with polarization parallel to the z-axis (figure (a) below): (a) (b) (a) Find the bound surface charge density and bound volume charge density of the sphere. (b) Find the electric field both inside and outside the sphere. ( Hint: To work this problem, consider the polarized sphere to consist of two uniformly charged spheres that are slightly displaced from each other as shown in...
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This note was uploaded on 10/16/2010 for the course ECE 309 taught by Professor Weikle during the Spring '08 term at UVA.

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ECE309-2008-hw5 - ECE 309 Electromagnetic Fields University...

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