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Unformatted text preview: hussain (wh4892) hw 3 Opyrchal (121104) 1 This printout should have 11 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points An electric field of magnitude 28000 N / C and directed upward perpendicular to the Earths surface exists on a day when a thunderstorm is brewing. A truck that can be approximated as a rectangle 5 . 4 m by 4 . 4 m is traveling along a road that is inclined 15 relative to the ground. Determine the electric flux through the bot tom of the truck. Correct answer: 6 . 42611 10 5 N m 2 / C. Explanation: Let : E = 28000 N / C , = 5 . 4 m , w = 4 . 4 m , and = 15 . By Gauss law, = vector E vector A The flux through the bottom of the car is = E A cos = E w cos = (28000 N / C) (5 . 4 m) (4 . 4 m) cos(15 ) = 6 . 42611 10 5 N m 2 / C . 002 10.0 points A nonconducting wall carries a uniform charge density of 3 . 75 C / cm 2 . What is the electric field 3 . 5 cm in front of the wall? Correct answer: 2 . 11764 10 9 N / C. Explanation: Let : = 3 . 75 C / cm 2 and r = 3 . 5 cm . The electric field of an infinite plane of surface charge density is E = 2 = 3 . 75 C / cm 2 2 (8 . 85419 10 12 C 2 / N m 2 ) parenleftbigg 1 C 10 6 C parenrightbigg parenleftbigg 100 cm 1 m parenrightbigg 2 = 2 . 11764 10 9 N / C . 003 (part 1 of 2) 10.0 points A thin spherical shell of radius 5 . 14 m has a total charge of 4 . 32 C distributed uniformly over its surface. Let : k e = 8 . 988 10 9 N m 2 / C 2 . 5 . 1 4 m vector E + + + + + + + + + + + + + + + + + + + + Find the electric field vector E 10 . 7 m from the center of the shell (outside the shell). Correct answer: 3 . 3914 10 8 N / C. Explanation: Let : a = 5 . 14 m , Q = 4 . 32 C , and r = 10 . 7 m . If we construct a spherical Gaussian surface of radius r > a , concentric with the shell, then the charge inside this surface is Q . Therefore the field at a point outside the shell is equiva lent to that of a point charge Q at the center....
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This note was uploaded on 01/31/2011 for the course PHYS 111 taught by Professor Moro during the Spring '08 term at NJIT.
 Spring '08
 moro

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