Exam2_2003Fall

Exam2_2003Fall - Physics 8.02 Some(possibly useful...

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Physics 8.02 Exam Two Mashup Fall 2003 Some (possibly useful) Relations: inside 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 G d 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 CC =+ 1 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 4 o I d d r × = sr B 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 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 μn n G ± ± = × τ μ B G G G z zz dB F dz = Cross-products of unit vectors: ˆˆ ˆˆˆˆ 0 ×=×= × = ii jjkk ˆˆ ˆ × = i j k ˆ × = j ki ˆ ×= j Useful integrals: 1/2 2 () d cf f θ + 1 ln( ) d f + 2 () () d fcf =− ++ Useful Small Argument Approximations (1 ) 1 for <<1 n n εε +≅ + ln(1 ) for <<1 +
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PHYSICS DEPARTMENT Test No. 2 FAMILY (last) NAME GIVEN (first) NAME Student ID Number Your Section (check one): ___L01 (Hudson) TTh 12-2 ____L02 (Feld) TTh 2-4 Your Group (e.g. 4A): ______________ Instructions: 1. Show all work. All work is to be done in this booklet. 3. This is a closed book test. 4. Calculators and books are not allowed. 5. Do all four problems 6. Print your name on each page of this booklet 7. Crib Sheets are not allowed (Key equations are provided.) Problem Score Grader 1 2 3 4 TOTAL I certify that I have not communicated with anyone about the contents of the 8.02 exam given Thursday evening October 30, 2003 Signed __________________
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8.02 2 nd Exam Name_____________________ Problem 1 (25 Points) Circle your choice for the correct answer to the five questions below. A: A segment of a wire of length dl carries a current I (see sketch below). The unit vector points out of the page. ˆ z The magnetic field due to this wire segment at the location P shown in the sketch is dB G 1.
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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_2003Fall - Physics 8.02 Some(possibly useful...

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