Exam1_2003Fall

Exam1_2003Fall - Physics 8.02 Exam One PLEASE DETACH THIS...

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Physics 8.02 Exam One Fall 2003 PLEASE DETACH THIS SHEET AND USE AT YOUR CONVENIENCE Some (possibly useful) Relations: F = 1 4 πε o q 1 q 2 r 2 o parallel plate A C d κε = 23 ˆ 44 oo qq rr == Er G r G 1 parallel CC 2 C = + 12 series = + C ˆ points source observer r r r= from to G Circumferences, Areas, Volumes: 1) The area of a circle of radius r is π r 2 Its circumference is 2 π r 2 0 1 ˆ 4 V dq r = G 2) The surface area of a sphere of radius r is 4 r 2 inside o closed surface Q ε ⋅= ∫∫ EdA G G w G Its volume is 3 4 3 r outside to inside from points A d = = b a a b b to a from moving V V V s d E G G G G 3) The area of the sides of a cylinder of radius r and height h is 2 r h Its volume is r 2 h 0 = path closed s d E Definition of trig functions V point charge = q 4 o r sin is opposite/hypotenuse; cos is adjacent/hypotenuse; = = N i i o i q V 1 4 r r K G charges point many 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, = pairs all j i o j i q q U r r G G 4 sin( π /3) = cos( π /6) = 2 / 3; sin( π /4) = cos( π /4) = 2 / 1 ; 2 1 2 ov UE  =   ∫∫∫ x o l d V Integrals that may be useful a b dr b a = E x = - V x , E y = - V y , E z = - V z ) / ln( 1 a b dr r b a = Q C V = U = 1 2 C V 2 = Q 2 2C = b a dr r b a 1 1 1 2
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8.02 Spring 2003 Name_____________________ Problem 1 (25 Points) Circle your choice for the correct answer to the five questions below. A: An electric dipole, consisting of two equal and opposite point charges at the ends of a insulating rod, sits in the electric field of a stationary positive point charge, as shown. The dipole is free to move. The dipole will 1. rotate clockwise and move to the left 2. rotate counterclockwise and move to the right 3. rotate clockwise and move to the right 4. rotate counterclockwise and move to the left 5. rotate clockwise but otherwise not move 6.
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Exam1_2003Fall - Physics 8.02 Exam One PLEASE DETACH THIS...

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