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Unformatted text preview: 1 Physics 8.02 Equation Sheet Exam One Please Remove this Tear Sheet from Your Exam 2 3 ( ) 4 4 o o q q r r = = E r r r r r r points source q field point r r r = from to r 3 1 ( ) ( ) 4 N i i i o i q = = E r r r r r r r r v r v 2 1 ( ) 4 source dq = E r r r r r r r r q q = F E r r enc o closed surface Q d = E A r r points from inside to outside d A r closed path = E ds r r b moving from a to b b a a V V V = = E ds r r U q V = point charge ; ( ) 4 o q V V r = = many point charges 1 ; ( ) 4 N i i o i q V V = = = r r r v 1 ( ) ; ( ) 4 source dq V V = = r r r r r r ; ( ) 4 i j all pairs o i j q q U U = = r r r r V = E r r E r = V r for spherical and cylindrical symmetry x V E x = y V E y = z V E z = Circumferences, Areas, Volumes: 1) The area of a circle of radius r is r 2 .Its circumference is 2 r . 2) The surface area of a sphere of radius r is 4 r 2 . Its volume is (4 / 3) r 3 . 3) The area of the sides of a cylinder of radius r and height h is 2 rh . Its volume is r 2 h . Some potentially useful numbers k e = 1 4 = 9 10 9 N m 2 C 2 2 3 8.02 Exam One Spring 2010 FAMILY (last) NAME GIVEN (first) NAME Student ID Number Your Section: ____L01 MW 9 am ____L02 MW 11 am ____L03 MW 1 pm ____L04 MW 3 pm ____L05 TR 9 am ____L06 TR 11 am ____L07 TR 1 pm ____L08 TR 3 pm Your Table and Group (e.g. 10A): ______________ Score Grader Problem 1 (25 points) Problem 2 (25 points) Problem 3 (25 points) Problem 4 (25 points) TOTAL 4 Problem 1 (25 points) In this problem you are asked to answer 5 questions, each worth 5 points. You do not have to show your work; in most cases you may simply circle the chosen answer....
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This note was uploaded on 02/27/2011 for the course PHYSICS 8 taught by Professor Dourmashkin during the Fall '10 term at MIT.
 Fall '10
 DOURMASHKIN
 Physics, Magnetism

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