Exam1_CoverSheet

Exam1_CoverSheet - Physics 8.02 Exam One Exam Please Remove...

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Physics 8.02 Exam One Exam Fall 2007 Please Remove this Tear Sheet from Your Exam 23 ˆ 44 oo rr πε == Er qq r G G ˆ points source q observer r r= from to r G inside-free o closed surface κ ε ⋅= ∫∫ EdA w Q G G points from inside to outside dA G q = FE b G GG = = Δ a a b b to a from moving V V V s d E G 0 = path closed s d E G G WU q V =Δ = Δ point charge 4 o V r q = = pairs all j i o j i U r r G G 4 q q 2 2 ov UE = ⎢⎥ ⎣⎦ ∫∫∫ x 1 o l d V ⎡⎤ E x = - x , E y = - V y , E z = - V z V r E r =− V for spherical symmetry Q C V = Δ U = 2 C Δ V 1 2 = Q 2 2 C 2C 1 parallel CC =+ 12 series C = + Circumferences, Areas, Volumes: Circle of radius r : Area = π r 2 Circumference = 2 π r Sphere of radius r Surface Area = 4 r 2 Volume = 3 3 4 r Cylinder of radius r and height h Side surface area = 2 r h End cap surface area = 2 r 2 Volume = r 2 h Definition of trig functions sin is opposite/hypotenuse; cos is adjacent/hypotenuse;
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This note 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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