Exam3_2006Spr_Conflict_Solution

Exam3_2006Spr_Conflict_Solution - Physics 8.02 Exam Three...

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Physics 8.02 Exam Three Conflict Exam Solutions Spring 2006 Please Remove this Tear Sheet from Your Exam Some (possibly useful) Relations: 2 1 ˆ 4 o dq d r πε = Er G free, inside closedsurface o Q d κ ε ⋅= ∫∫ EA G G w points from inside to outside d A G total d d dt dt Φ = Ed s BdA G GG G v moving from to b ab b a a VV V ∆= = Es G G d 2 ˆ 4 o q c r µ π × =< < vr Bv G G G 2 ˆ 4 o I d d r × = sr B G G ˆ where points source observer rf r o mt o 0 closed surface d BA G G w through 0 contour E o d dI dt µε Φ ⎛⎞ + ⎜⎟ ⎝⎠ Bs G G v where I through is the current flowing through any open surface bounded by the contour: through open surface I d =⋅ JA G G d s is right-handed with respect to d A 2 2 0 1 22 EB o B uE u == ( ) ext q =+ × FE v B GGG G ext d Fs B G G G 2 cent. Fm v = r IA = μ n G ± τ μB G z zz dB F dz = VI R L R A ρ = 2 2 ohmic heating V PI V I R R =∆ = = Q C V = parallelplate o A C d = 2 2 1 2 2 Q UC V C =∆= 1 C R CX C τ ω = = B,self,total back dI LL I dt Φ 2 1 2 L UL = I / L LR X L = = Series RLC: () 2 2 tan LC ZRX RXX XR ϕ =+=+− = 2 fT k ω =π=π =πλ 1 2 00 cTf k =λ =ω = µε 0l i g h t 0 ˆˆ ˆ EvB = ×= EB p absorb reflect 0 12 ; SS PP cc = = µ SE B G G G If the function D t satisfies the equation dD Dt dt t =− , then / t o D tD e = Cross-products of unit vectors: ˆˆ ˆˆˆˆ 0 ×=×= × = ii jjkk ˆ × = ijk ˆ × = j ki ˆ × = ki j Some potentially useful numbers 2 97 2 0 1N m 91 0 4 1 0 4C eo k µπ × = × T m A Breakdown of air E ~ 3 x 10 6 V/m Earth’s B Field B ~ 5 x 10 -5 T = 0.5 Gauss Speed of light c = 3 x 10 8 m/s Light (blue to red) λ = 400 nm to 700 nm Electron charge e = 1.6 x 10 -19 C Avogadro’s number N A = 6.02 x 10 23 mol -1
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MIT PHYSICS DEPARTMENT 8.02 Exam Three Conflict Spring 2006 Solutions FAMILY (last) NAME GIVEN (first) NAME Student ID Number Your Section: ___L01 MW 9 am ____L02 MW 11 am ____L03 MW 1 pm ____L04 MW 3 pm ___L05 TR 9 am ____L06 TR 11 am ____L07 TR 1 pm ____L08 TR 3 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 I certify that I have not communicated with anyone about the contents of the 8.02 exam given Thursday evening May 11 th 2006 or about any make up exam for that exam. SIGNED: ____________________ 8.02 Exam #3 CONFLICT Solution Spring 2006
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MIT PHYSICS DEPARTMENT p. 2 of 11 Problem 1: Five Short Questions. Fill in the blanks with the correct answer Each problem is worth 4 points for the correct answer, 2 points for a partially correct answer (at our discretion). If you don’t know the answer you can earn 1 point for admitting that by leaving it unanswered and writing “I don’t know” (make this clear!). Question A (4 points out of 20 points): A circuit consists of a battery with emf V , an inductor with inductance L , a capacitor with capacitance C , and three resistors, each with resistance R , as shown in the sketch. The capacitor is initially uncharged and there is no current flowing anywhere in the circuit.
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Exam3_2006Spr_Conflict_Solution - Physics 8.02 Exam Three...

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