Exam1_2004Fall

Exam1_2004Fall - Physics 8.02 Exam One PLEASE DETACH THIS...

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Physics 8.02 Exam One Fall 2004 PLEASE DETACH THIS SHEET AND USE AT YOUR CONVENIENCE Some (possibly useful) Relations: F = 1 4 πε o q 1 q 2 r 2 23 ˆ 44 oo qq rr == Er G r G ˆ points source q observer r r r= from to G 2 0 1 ˆ 4 V dq r = G free, inside closedsurface o Q d κ ε ⋅= ∫∫ EA G G w pointsfrom inside to outside d A G moving from to b ab b a a VV V =−= − ⋅ Es G G d closedpath 0 d G G v point charge 4 o q V r = many point charges 1 4 N i i oi q V = = G K all pairs 0 4 ij U = GG 2 vol 1 2 o UE ⎛⎞ = ⎜⎟ ⎝⎠ ∫∫∫ x d V V =−∇ E G or E x = - V x , E y = - V y , E z = - V z Q C V = 2 2 1 () 22 Q UC V C 1 parallel CC 2 C = + 12 series C = + Circumferences, Areas, Volumes: 1) The area of a circle of radius r is π r 2 Its circumference is 2 π r 2) The surface area of a sphere of radius r is 4 r 2 Its volume is 3 4 3 r 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 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 2004 Name_____________________ Problem 1 (25 Points) Circle your choice for the correct answer to the five questions below. A: Consider an electric dipole immersed in a uniform electric field. Which of the following statements regarding the force F G and the torque τ G is strictly true regardless of the orientation of the dipole: 1. and . 0 F G 0 τ G 2. and . 0 = F G 0 τ G 3. and . 0 F G 0 = τ G 4. and . 0 = F G 0 = τ G 5. but may or may not be zero. 0 = F G τ G 6. may or may not be zero but F G 0 = τ G .
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This test prep was uploaded on 04/07/2008 for the course 8 8.02 taught by Professor Hudson during the Fall '07 term at MIT.

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Exam1_2004Fall - Physics 8.02 Exam One PLEASE DETACH THIS...

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