DQ3D_solution - Discussion Question 3D P212, Week 3...

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Discussion Question 3D P212, Week 3 Electric Field Due to Charged Cylinders and Lines 1 Consider a non-conducting cylinder of infinite length with a hollow core. The inner radius is a , the outer radius is b , and the solid region in between carries a uniformly- distributed volume charge density ρ . (a) Using Gauss’ Law and the steps outlined earlier, calculate the electric field at a radius of r from the axis of the cylinder, where a < r < b . (This one is a bit challenging.) ο ε επ π πε 00 Φ= = = ( − ⎛⎞ =→= ⎜⎟ ⎝⎠ 22 2r ) ˆ 2 2 o Er Q a ra rE QE r r AA G A (b) Now suppose a hollow metal cylinder of inner radius c and outer radius d is placed around the non-conducting tube. The metal tube carries no net charge. What is the surface charge density σ c induced on the inner surface of the metal cylinder? in tube in ) 2) ) 2 QQ b a Qc b a ba c σπ −= = ( == ( (− =− A uncharged metal tube a b c d a b
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2 Now for a challenge! Suppose we add an infinite line charge inside the hollow cylinder, but at an
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This note was uploaded on 06/16/2011 for the course PHYS 212 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.

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DQ3D_solution - Discussion Question 3D P212, Week 3...

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