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Unformatted text preview: b. Find the net force between the sphere and the ring. You should be able to write the magnitude of this in the form F q 2 X l =0 A l P l (cos ) P l +1 (cos ) where cos = d/c and A l depends on the geometrical parameters, by using some recurrence rela-tions. 3. A closed annular tube consists of the region a b , 0 z c in cylindrical coordinates. The curved surfaces ( = a and = b ) and the bottom ( z = 0) surface are held at 0 potential, while the top ( z = c ) surface is held at potential V . Find an expansion for the potential inside the tube. Notes: For full credit you need to evaluate the V integral, by using a recurrence relation. You do not need to evaluate the normalization integral (although it can be done)....
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This document was uploaded on 10/20/2011.
- Spring '09