Physics 318R.G. PalmerElectromagnetism4/28/08Final Exam 2008(24hr takehome)Notes:You are on your honor to abide by the rules in the handoutAbout the Final. Violations will be treatedextremely seriously: seehttp://www.phy.duke.edu/graduate/resources/integrity.pdf.For full credit you mustjustify what you are doing.Show all work.Pulling an obscure formula out ofa hat may lose you points; you must at least say where it came from (e.g., [Jackson page 813]), or probablyyou 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 theright 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 chargeqplaced along theaxis of a very long (∞), ground cylinder. In particular, we want to determine the behavior of potentialwithin the cylinder for distanceszlarge compared with cylinder radiusR. The charge position is taken
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