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Exam1_2002Fall

Exam1_2002Fall - Physics 8.02 Exam One Fall 2002 PLEASE...

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Physics 8.02 Exam One Fall 2002 PLEASE DETACH THIS SHEET AND USE AT YOUR CONVENIENCE Some (possibly useful) Relations: F = 1 4 πε o q 1 q 2 r 2 E = q 4 o r 2 ˆ r observer to source from points r ˆ 2 0 1 ˆ 4 V dq r = Er G = surface closed o inside Q ε dA E outside to inside from points dA = = b a a b b to a from moving V V V ds E 0 = path closed ds E V point charge = q 4 o r = = N i i o i q V 1 4 r r charges point many j i q q U ij j i o j i = ∑∑ , 4 2 1 r r E x = - V x , E y = - V y , E z = - V z C Q V U = 1 2 C V 2 = Q 2 2C d A o plate parallel κ = C Circumferences, Areas, Volumes: 1) The area of a circle of radius r is π r 2 Its circumference is 2 r 2) The surface area of a sphere of radius r is 4 r 2 Its volume is 3 3 4 r 3) The area of the sides of a cylinder of radius r and height h is 2 rh Its volume is r 2 h Definition of trig functions sin is opposite/hypotenuse; cos is adjacent/hypotenuse; tangent is opposite over adjacent; Properties of 30, 45, and 60 degrees ( π /6, π /4, and π /3 radians) : sin( π /6) = cos( π /3) = 1/2, sin( π /3) = cos( π /6) = 2 / 3; sin( π /4) = cos( π /4) = 2 / 1 ; Integrals that may be useful a b dr b a = ) / ln( 1 a b dr r b a = = b a dr r b a 1 1 1 2

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8.02 Fall 2002 Name_____________________ Page 2 Part I - Concept Questions (25 Points) Circle your choice for the correct answer to the five concept questions below. Each question is worth five points.
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Exam1_2002Fall - Physics 8.02 Exam One Fall 2002 PLEASE...

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