Unformatted text preview: x + iy , and w = + i .) Problem 3.2 (15 points). Formulate the 2D electrostatic problems which can be solved using each of the following analytical functions of the complex variable z x + iy : (i) w = ln z , (ii) w = z 1/2 . Solve one (any) of these problems. Problem 3.3 (20 points). Each electrode of a large plane capacitor is cut into long strips of equal width l , with very narrow gaps between them. These strips are kept at the alternating potentials, as shown in Fig. on the right. Use the variable separation method to calculate the electrostatic potential distribution inside the capacitor. Explore the limit l << d . R w t … … … … d l 2 V 2 V 2 V 2 V 2 V 2 V...
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 Fall '08
 Stephens,P
 Calculus, Capacitance, Work

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