Final_2005Fall

Final_2005Fall - Physics 8.02 Final Exam Please Remove this...

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Physics 8.02 Final Exam Fall 2005 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 sgl loop d d N 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 2 EB o 2 B uE u == () ext q =+ × FE v B GGG G ext d Fs B G G G 2 cent. Fm v = r IA = μn G ± τ μ B 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 = 2 2 1 2 2 Q UC V C =∆= 1 C R CX C τ ω = = B,self,sgl coil back N dI LL I dt Φ 2 1 2 L UL = I X L / LR L = = eries RLC: S 2 22 2 00 tan LC ZRX RXX XR V IR ϕ =+=+− 2 fT k ω =π=π =πλ 1 2 cTf k =λ =ω = µε 0 light 0 ˆˆ ˆ EvB = ×= EB p absorb reflect 0 ; cc = = µ B 12 SS PP SE G G G fu ction s the equation If the n atisfies Dt dD t dt =− , then ( / ) t o De = ross-products of unit vec rs: C to ˆ 0 ˆ ×=×= × = ii jjkk ˆ × = i j k ˆ × = j ki ˆ × = j Some potentially useful numbers 2 9 1N 91 0 4 1 k × × 7 m T m ir uss harge number N A = 6.02 x 10 23 mol -1 Calories 1 cal = 10 -3 Cal = 4.184 J 2 0 4C A eo = 0 Breakdown of a E ~ 3 x 10 6 V/m Earth’s B Field B ~ 5 x 10 -5 T = 0.5 Ga Speed of light c = 3 x 10 8 m/s Light (blue to red) λ = 400 nm to 700 nm Electron c e = 1.6 x 10 -19 C Avogadro’s
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8.02 Final Exam Fall 2005 FAMILY (last) NAME GIVEN (first) NAME Student ID Number Your Section: ___L01 MW 10 am ____L02 MW 1 pm Your Group (e.g. 10A): ______________ Problem Score Grader 1 (40 points) 2 (15 points) 3 (25 points) 4 (45 points) 5 (75 points) TOTAL
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MIT Department Of Physics p. 1 of 23 Problem 1: Ten Short Questions. Circle your choice for the correct answer Each problem is worth 4 points for the correct answer or 1 point for admitting that you don’t know how to do it. Unanswered or incorrectly answered problems will earn a 0. Question A (4 points out of 40 points): In lab 1 you fixed the potential difference between two plates and measured equipotential lines from which you determined electric field lines and approximate charge distributions. You are given the two conducting plates at left, with the top plate held at +5 V relative to the bottom plate. What can you say about the relative magnitude of the charge densities near the four locations indicated? 1. |Q(A)| ~ |Q(C)| > |Q(B)| ~ |Q(D)| 2. |Q(A)| > |Q(B)| ~ |Q(C)| > |Q(D)| 3. |Q(A)| ~ |Q(B)| > |Q(C)| ~ |Q(D)| 4. |Q(D)| ~ |Q(C)| > |Q(B)| ~ |Q(A)| 5. |Q(B)| ~ |Q(D)| > |Q(A)| ~ |Q(C)| 6. |Q(A)| > |Q(D)| ~ |Q(C)| > |Q(B)| 7. |Q(C)| > |Q(A)| ~ |Q(B)| > |Q(D)| 8. I don’t know (this answer is worth 1 point) Question B (4 points out of 40 points): In the second lab you worked with a Faraday pail, two nested conducting cylinders as pictured at left. You held the outer cylinder at ground (i.e. at the same potential as infinity) and measured the potential of the inner cylinder relative to the outer cylinder.
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This test prep was uploaded on 04/07/2008 for the course 8 8.02 taught by Professor Hudson during the Fall '07 term at MIT.

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Final_2005Fall - Physics 8.02 Final Exam Please Remove this...

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