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final-S08 - Physics 318 Electromagnetism R.G Palmer Final...

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Physics 318 R.G. Palmer Electromagnetism 4/28/08 Final Exam 2008 (24hr takehome) Notes: You are on your honor to abide by the rules in the handout About the Final . Violations will be treated extremely seriously: see http://www.phy.duke.edu/graduate/resources/integrity.pdf . For full credit you must justify what you are doing . Show all work. Pulling an obscure formula out of a hat may lose you points; you must at least say where it came from (e.g., [Jackson page 813]), or probably you should write how to show that from standard ways. Credit may be reduced if you do something a very awkward or long-winded way, even if you get the right result in the end. I will readily give hints, but will record what I tell you and allow for that in grading. 1. In this problem we wish to find the asymptotic form of the potential for a point charge q placed along the axis of a very long ( ), ground cylinder. In particular, we want to determine the behavior of potential within the cylinder for distances z large compared with cylinder radius R . The charge position is taken
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