Exam3_2005Spr

Exam3_2005Spr - Physics 8.02 Some (possibly useful)...

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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 11 1 22 2 CE Q UC V u C ==∆ = E o d A o plate parallel 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 × = vr B 2 ˆ 4 o I r × = ds r dB F = q v × B ext ext I dF ds B τ μ B G GG z zz dB F dz = thru closed path dI ⋅= o Bs G G v external self dd dt dt ⎡⎤ =− + ⎣⎦ ∫∫ ∫ E ds B dA B B dA v self Li = Bd A ε = N d φ B dt L = N B i ε = L di dt / L R = U L = 1 2 L i 2 u B = | B | 2 2 0 T = 2 π ω = 1 f Free LC Circuit No Damping: 0 s in ( ) o Qt Q t ω = , 1 o LC = Driven LRC Circuit: if ε (t) = ε m sin( ω t ), then i (t) = i m sin( ω t - φ ), where 1 m m i RL C = +− and tan φ = ω L – 1 ω C R 1 LC XLX C == 1 Quality o o L Q R CR
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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
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MIT PHYSICS DEPARTMENT ` page 2 Problem 1: Five Short Questions. Circle your choice for the correct answer. Question A (5 points out of 25 points): The figure shows the field lines outside of a permanent magnet whose North pole is on top. Inside the magnet, the field lines point 1. Upward 2. Downward 3. Neither, the magnetic field is zero inside 4. Not enough information given to determine the direction of the magnetic field inside the magnet Question B (5 points out of 25 points): A superconducting ring of radius a has zero resistance and self-inductance L . The ring sits in a constant external magnetic field which is vertical and normal to the plane of the ring. The ring carries no current before t = 0 (see figure, which is at t = 0 ). At t = 0 , external agents come along and compress the ring until its radius is a/2, half of its original value. At that point, the total magnetic flux through the ring (due both to the external magnetic field and the self magnetic field) is 1. Four times as large as the value at t = 0 2. Twice as large as the value at t = 0 3. The same as the value at t = 0 4. One half of the value at t = 0 5. One quarter of the value at t = 0
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MIT PHYSICS DEPARTMENT ` page 3 Question C (5 points out of 25 points): In the two circuits shown, all the light bulbs and batteries are identical. If A denotes the brightness of light A , and so on, then (a) C > A = B (b) C < A = B (c) C < A < B (d) C > A > B (e) C = A > B (f) C = A < B Question D (5 points out of 25 points):
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This note was uploaded on 04/07/2008 for the course 8 8.02 taught by Professor Hudson during the Spring '07 term at MIT.

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Exam3_2005Spr - Physics 8.02 Some (possibly useful)...

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