newexam2 - PHY 3323 November 3, 2010 Exam #2 What happens...

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Unformatted text preview: PHY 3323 November 3, 2010 Exam #2 What happens to you here is forever. Understand that in advance. We shall crush you down to the point from which there is no coming back. Things will happen to you from which you could not recover, if you lived a thousand years. . . . You will be hollow. We shall squeeze you empty, and then we shall fill you with ourselves. 1984 (1) Two infinite parallel grounded conducting planes are held a distance a apart. A point charge q is placed in the region between them, a distance x from one plate. This problem concerns the force (which is a vector!) on q . a) What form does dimensional analysis imply for the force? (10 points) b) What must be the limiting form of the force for x a ? (10 points) c) What must be the limiting form of the force for x = a/ 2? (10 points) d) Use the method of images to express the force as an infinite sum. (5 points) (2) A conducting sphere of radius a , at potential V , is surrounded by a thin concentric spherical shell of radius...
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