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Exam3_2005Spr

# Exam3_2005Spr - Physics 8.02 Some(possibly useful Relations...

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Physics 8.02 Exam Three Mashup Spring 2005 Some (possibly useful) Relations: = 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 C Q V ( ) 2 2 2 1 1 1 2 2 2 C E Q U C V u C ε = = = E o d A o plate parallel ε κ = C τ = RC V = i R P joule = i V = i 2 R = V 2 /R 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 = × τ μ B G G G z z z dB F dz µ = thru closed path d I µ = o B s G G v external self d d dt dt = − = − + E ds B dA B B dA v self Li = B dA ε = N d φ B dt L = N φ B i ε = L di dt / L R τ = U L = 1 2 L i 2 u B = | B | 2 2 µ 0 T = 2 π ω = 1 f Free LC Circuit No Damping: 0 ( ) sin( ) o Q t Q t ω φ = , 1 o LC ω = Driven LRC Circuit: if ε (t) = ε m sin( ω t ), then i (t) = i m sin( ω t - φ ), where 2 2 1 ( ) m m i R L C ω ω ε = + and tan φ = ω L – 1 ω C R 1 L C X L X C ω ω = = 1 Quality o o L Q R CR ω ω = =

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8.02 Exam Three Mashup Spring 2005 FAMILY (last) NAME GIVEN (first) NAME Student ID Number Your Section: ___L01 MW 10 am ____L02 MW 12 noon ____L03 MW 2 pm ___L04 TTh 10 am ____L05 TTh 12 noon ____L06 TTh 2 pm Your Group (e.g. 10A): ______________ Problem Score Grader 1 (20 points) 2 (5 points) 3 (25 points) 4 (25 points) 5 (25 points) TOTAL