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 deﬁned 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 ﬁxed (  w 2  = 1). Next ﬁnd the electrostatic potential φ between the two original cylinders in the zplane, with the inner one held ﬁxed at φ 1 = 12 V and the outer one held ﬁxed at φ 2 = 40 V. Version 1.2...
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This note was uploaded on 07/23/2008 for the course MATH 406 taught by Professor Belmonte during the Spring '05 term at Penn State.
 Spring '05
 BELMONTE
 Calculus, Polynomials

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