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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 2 3 ˆ 4 4 o o r r πε πε = = E r q q r G G ˆ points source q observer r r = from to r G inside-free o closed surface κ ε = ∫∫ E dA w Q G G points from inside to outside dA G q = F E b G G G = = Δ a a b b to a from moving V V V s d E G 0 = path closed s d E G G W U q V = Δ = Δ point charge 4 o V r q πε = = pairs all j i o j i U r r G G πε 4 q q 2 2 o v U E ε = ∫∫∫ x 1 ol dV 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 C C = + 1 2 1 2 series C C C = + Circumferences, Areas, Volumes: Circle of radius r : Area = π r 2 Circumference = 2 π r Sphere of radius r Surface Area = 4 π r 2 Volume = 3 3 4 r π Cylinder of radius r and height h Side surface area = 2 π r h End cap surface area = 2 π r 2 Volume = π r 2 h Definition of trig functions sin is opposite/hypotenuse;
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