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Exam3_2002Fall

Exam3_2002Fall - Physics 8.02 TEST 3 MASHUP PLEASE DETACH...

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Physics 8.02 TEST 3 MASHUP November 26, 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 πε o r 2 ˆ r observer to source from points r ˆ = 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 j i q q U i j j i o j i = ∑∑ , 4 2 1 r r πε C Q V U = 1 2 C V 2 = Q 2 2C d A o plate parallel ε κ = C τ = RC V = i R L L R A A ρ σ = = P joule = i V = i 2 R = V /R 2 2 ˆ 4 o q r µ π × = v r B 2 ˆ 4 o I r µ π × = ds r dB F = q v × B ext ext I = × dF ds B ττ = µµ × B N I A µ = through o I µ = ds B = dA B ds E dt d ε = N d φ B dt L = N φ B i ε = L di dt = 0 dA B τ = L / R U L = 1 2 L i 2 u B = | B | 2 2 µ 0 T = 2 π ω = 1 f if ε (t) = ε m sin( ω t ), then i (t) = i m sin( ω t - φ ), where i m = ε m R 2 + ω L – 1 ω C 2 1/2 and tan φ = ω L – 1 ω C R
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