Problem2 Solutions07

Problem2 Solutions07 - P114 PROBLEM SET 2 Spring 2007...

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P114 PROBLEM SET 2 Spring 2007 Homework to be handed in by 1700 hours on Tuesday, 6 February 2007 . [1] A uniform line charge extends from x = 2 . 5 cm to x =2 . 5 cm and has linear charge density λ =4 . 5 nC/m. a: Find the total charge b: Find the electric f eld at x =0 ,y =4 cm c: Find the electric f eld at x =0 ,y =12 cm d: Find the electric f eld at x =0 ,y =4 . 5 m e: Find the electric f eld at x =0 ,y =4 . 5 m assuming the charge to be a point charge and compare the result with that for part (d). [2] Consider two in f nitely long concentric cylindrical shells. The inner shell has a radius R 1 and carries a uniform surface charge density σ 1 C/m 2 , and the outer shell has a radius R 2 and carries a uniform surface charge density σ 2 C/m 2 . a: Use Gauss’ Law to f nd the electric f e ldinthereg ions r<R 1 , R 1 <r<R 2 , and r>R 2 . b: What should be the ratio of the surface charge densities σ 1 σ
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Problem2 Solutions07 - P114 PROBLEM SET 2 Spring 2007...

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