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HW__6_P213_F08

# HW__6_P213_F08 - Physics 2213 Read Chapter 21.5-7 22.1-4...

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Physics 2213 Homework #6 Fall 2008 Read: Chapter 21.5-7, 22.1-4 For study: Q's #Q22.1, 2, 3, 4, 5, 6 E's & P's #21.99, 22.1, 5, 6, 9, 11, 13, 17, 43, 57, 61, 63 To be prepared for your 2nd recitation class the week of October 6-10: #21.96 [Half-Ring of Charge] #22.8 [Gauss’s Law] #22.37 [Coaxial Cable] #22.42 [Concentric Spherical Shells] #22.54 [Slab of Charge] #1. [Hollow Charged Cylinder] Consider a long hollow uniformly charged cylinder of radius R with surface charge density σ (charge per unit area). [NOTE: this corresponds to linear charge density (charge per unit length) λ = 2 π R σ .] (a) Draw electric field lines consistent with the symmetry of this setup and the rules of the electric field line model. (Show both head-on and side views.) (b) Use Gauss' Law to find the electric field E(r) inside and outside the cylinder, as a function of distance r from the cylinder's axis. Be sure your reasoning is clear. (c) Draw a graph of E(r) vs. r from r = 0 to 3R. On the same plot, draw the graph of a field of an infinitely long line of charge with the same linear charge density λ , E(r) = λ /2 π ε o r. Clearly label each graph. How do the two fields compare?

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