MATH 110 Midterm: Exam 1 No Solutions Fall 1997

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14 Mar 2019
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Be sure that you pace yourself so that you have enough time to work on each problem. Note that the problems do not have equal weight. Partial credit will be given, so be sure to show your work as clearly as possible. Electric field around a point charge (at the origin): r. Electric field around an infinite line with linear charge density l: r. Electric field magnitude around an infinite sheet with area charge density s: e = s. V( r r 2) - v( r r 1) = - r. Electric potential around a point charge (at the origin): v(r) = Z cos(60) = 1/2 cos(30) = 3 2 sin(60) = 3 2 sin(30) = 1/2 cos(45) = 2 2 sin(45) = 2 2. Consider 3 point charges of charge q fixed to the corners of an equilateral triangle of side d as shown in the picture below.