Exam2_2006Spring

Exam2_2006Spring - Physics 8.02 Exam Two Spring 2006 Please Remove this Tear Sheet from Your Exam Some(possibly useful Relations closedsurface E dA

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Physics 8.02 Exam Two Spring 2006 Please Remove this Tear Sheet from Your Exam Some (possibly useful) Relations: inside, free closedsurface o Q d κ ε ⋅= ∫∫ EA G G w points from inside to outside d A G moving from to b ab b a a VV V ∆= = Es G d G 0 d −⋅= G G v many point charges 1 4 N i i oi q V πε = = rr GG V Q C = C Q V = parallelplate o A C d = U = 1 2 C V 2 = Q 2 2C series 1 2 11 1 CC C =+ parallel 1 2 C where is the resistivity ρρ = EJ V = i R L R A ρ = 1 R parallel = 1 R 1 + 1 R 2 R series = R 1 + R 2 2 2 ohmic heating V Pi V i R R =∆ = = 2 ˆ 4 o q c r µ π × = << vr Bv G G G 2 ˆ r 4 o I d d × = B sr G G ˆ points source observer rf r o mt o through contour o dI 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 right-handed with respect to d A sgl loop d d N dt dt Φ = Ed s BdA G G v ext q Fv B G G G ext d Fs B G 2 cent. Fm v = r = perpendicular to loop, right-handed with respect to IA I μ nn G ± ± = × τ μB G G G z zz dB F dz = Cross-products of unit vectors: ˆˆ ˆˆˆˆ 0 ×=×= × = ii jjkk ˆˆ 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 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 p. 1 of 11 8.02 Exam Two Spring 2006 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 8.02 Exam #2 Spring 2006
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MIT PHYSICS DEPARTMENT p. 2 of 11 Problem 1: Five Short Questions. Circle your choice for the correct answer. Question A (5 points out of 20 points): The picture below shows an iron filings representation of the magnetic field surrounding two parallel, current carrying wires. Which of the following statements is true? The magnetic force on the left-hand wire is… 1) to the right and larger in magnitude than the magnetic force on the right hand wire 2) to the right and equal in magnitude to the magnetic force on the right hand wire 3) to the right and smaller in magnitude than the magnetic force on the right hand wire 4) to the left and larger in magnitude than the magnetic force on the right hand wire 5) to the left and equal in magnitude to the magnetic force on the right hand wire 6) to the left and smaller in magnitude than the magnetic force on the right hand wire 7) zero 8) I don’t know (this answer is worth 1 point) Question B (5 points out of 20 points): You are given two long straight pieces of wire and a semicircle of wire and asked to
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This note 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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Exam2_2006Spring - Physics 8.02 Exam Two Spring 2006 Please Remove this Tear Sheet from Your Exam Some(possibly useful Relations closedsurface E dA

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