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253-hwk-23b - f = k e Q 2 e x 4 a 2 ln& b 2 b 2& 4 a...

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HPHY 253 Homework 23b Electric Fields: Distributions of Continuous Charge Dr. A. E. Bak Name 1. Serway & Jewett Problem 23 : 21 . A rod 14 : 0 cm long is uniformly charged and has a total charge of ° 22 : 0 ° C . Determine the magnitude and direction of the electric °eld along the rod±s axis at a point 36 : 0 cm from its center. 2. Serway & Jewett Problem 23 : 27 . A uniformly charged insulating rod of length 14 : 0 cm is bent into the shape of a semicircle as shown in Figure P 23 : 27 . The rod has a total charge of ° 7 : 50 ° C . Find the magnitude and direction of the electric °eld at O , the center of the semicircle. 3. Serway & Jewett Problem 23 : 51 . Identical thin rods, each of length 2 a , carry equal charges of + Q uniformly distributed along their lengths. The rods lie along the x axis with their centers separated by a distance of b > 2 a as shown in Figure P 23 : 51 . Show that
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Unformatted text preview: f = k e Q 2 e x 4 a 2 ln & b 2 b 2 & 4 a 2 ± is the electric force on the right-hand rod due to the left-hand rod. 4. Serway & Jewett Problem 23 : 53 . A line of positive charge is formed into a semicircle of radius R = 60 : cm as shown in Figure P 23 : 53 . The linear charge density is given by ± = ± cos ² , where ± is a constant. The total charge on the semicircle is +12 : & C . Calculate the electric force on a point charge of +3 : 00 & C placed at the center of curvature. 5. Serway & Jewett Problem 23 : 65 . A line of charge starts at x = + x and extends to positive in±nity. The linear charge density is given by ± = ± x =x , where ± is a constant. Determine the electric ±eld at the origin. 1...
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