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Unformatted text preview: 5. Consider two nonconcentric circles, one of which crosses the axis at x = 1 / 7 and x = 1 / 2 (with its center on the real axis), and one dened by  z 2  = 1. First show that the following map w = 3 z1 3z a) moves the inner circle to  w 1  = 1 / 5, and b) keeps the outer circle xed (  w 2  = 1). Next nd the electrostatic potential between the two original cylinders in the zplane, with the inner one held xed at 1 = 12 V and the outer one held xed at 2 = 40 V. Version 1.2...
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 Spring '05
 BELMONTE
 Calculus, Polynomials

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