317 (F96) Exam #3 - Part II

317 (F96) Exam #3 - Part II - ) = V o cos , where V o is a...

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Physics 317 (Fall 1996) Third Exam - Part II (November 1, 1996) Name 4. [25 points] A long rectangular pipe, running parallel to the z axis, has three grounded metal sides at x = 0, x = d, and at y = 0. The fourth side, at y = b, has potential V(x,b) = V o sin 3 ( π x/d). Develop a general formula for the potential within the pipe. [Hint: sin 3 (x) = ( 3 / 4 )sin(x) - ( 1 / 4 )sin(3x).]
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5. [25 points] The potential at the surface of a spherical shell of radius a is V(a,
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Unformatted text preview: ) = V o cos , where V o is a constant. You may assume that there are no charges inside or outside of the shell. A. Find the potential at all points outside of the shell. B. Find the potential at all points inside the shell. C. Find the surface charge density, ( ), on the shell....
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317 (F96) Exam #3 - Part II - ) = V o cos , where V o is a...

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