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Unformatted text preview: patel (dp23452) Homework 2 Spurlock (14423) 1 This printout should have 65 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points It takes 112 J of work to move 3 C of charge from a positive plate to a negative plate. What voltage difference exists between the plates? Correct answer: 37 . 3333 V. Explanation: Let : W = 112 J and q = 3 C . The voltage difference is V = W q = 112 J 3 C = 37 . 3333 V . 002 10.0 points The magnitude of a uniform electric field be tween the two plates is about 2 10 5 N / C. If the distance between these plates is . 1 cm, find the potential difference between the plates. Correct answer: 200 V. Explanation: Let : E = 2 10 5 N / C and d = 0 . 1 cm = 0 . 001 m . The magnitude of the potential difference is V = E d = (2 10 5 N / C) (0 . 001 m) = 200 V . 003 10.0 points The Coulomb constant is 8 . 98755 10 9 N m 2 / C 2 and the acceleration of gravity is 9 . 81 m / s 2 . Find the potential difference between a point infinitely far away and a point 1 . 3 cm from a proton. Correct answer: 1 . 10646 10 7 V. Explanation: Let : r = 1 . 3 cm , k e = 8 . 99 10 9 N m 2 / C 2 , and q p = 1 . 60 10 19 C . V = k e q r V = (8 . 99 10 9 N m 2 / C 2 ) 1 . 60 10 19 C . 013 m = 1 . 10646 10 7 V . 004 10.0 points Consider charges placed at the corners of a rectangle: Let: k e = 8 . 98755 10 9 N m 2 / C 2 and g = 9 . 8 m / s 2 . b P 0.42 m 0.16 m + 5 . C 15 C 7 . C Find the electric potential at point P due to the grouping of charges at the other corners of the rectangle. Correct answer: 5 . 86326 10 5 V. Explanation: Let : q 1 = 5 . C , q 2 = 7 . C , q 3 = 15 C , r 1 ,P = a = 0 . 42 m , r 2 ,P = b = 0 . 16 m , and k e = 8 . 99 10 9 N m 2 / C 2 . patel (dp23452) Homework 2 Spurlock (14423) 2 r 3 ,P = radicalbig a 2 + b 2 V tot = k e q 1 r 1 ,P + k e q 2 r 2 ,P + k e q 3 r 3 ,P = k e bracketleftbigg q 1 a + q 2 b + q 3 a 2 + b 2 bracketrightbigg = (8 . 99 10 9 N m 2 / C 2 ) bracketleftbigg 5 . 10 6 C . 42 m + ( 7 . 10 6 C) . 16 m + ( 15 10 6 C) radicalbig (0 . 42 m) 2 + (0 . 16 m) 2 bracketrightBigg = 5 . 86326 10 5 V . 005 (part 1 of 2) 10.0 points A charge of 3 . 00 10 9 C is at the origin of a coordinate system, and a charge of 8 . 07 10 9 C is on the xaxis at 1 . 54 m. There are two locations on the xaxis, where the electric potential is zero. a) Find the location of the point between the charges. Correct answer: 0 . 417344 m. Explanation: Let : q 1 = 3 . 00 10 9 C at the origin , q 2 = 8 . 07 10 9 C , and x = 1 . 54 m ....
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 Spring '08
 O'donnell
 Charge, Work

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