Exam3_2008Spr

# Exam3_2008Spr - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2008 Exam Three: Equation Sheet Force Laws: () ext ext q =+ × FEv B GG G G ext dI d Fs B G Current: I d =⋅ ∫∫ Ja G G Source equations: 2 1 ˆ 4 o dq d r πε = Er G 2 ˆ 4 o I d d r μ π × = sr B G G Maxwell’s Equations: inside o Q d ε ⋅= Ea G G w 0 d Ba G G w d dd dt v enc 0 oo d d dt μμ + Br v Electromotive Force: d × EvB r G G v Electric Potential Difference: to b ab b a a VV V d Δ= = G G 1 4 N i i oi q V = = rr Capacitance: / CQ V 22 11 /( ) C UQ C C V == Δ Ohm’s Law: VI R where is the conductivity cc σσ = JE G G where is the resistivity ρρ = EJ G G Inductance: B / LN I = Φ back / LdI dt = − 2 1 2 L UL I = Energy Density Stored in Fields: 2 1 0 2 E uE = ; 2 1 0 2 / B uB = Capacitors in Parallel: 12 eq CC C =++ Capacitors in Series: 1 eq C Resistors in Parallel: 1 eq RR R = + +⋅⋅⋅ Resistors in Series: eq R Joule Heating: Joule / PI V I R V R =Δ = AC Circuits: 0 1/ LC ω = ; L X L = ; C X C = ; R X R = Series RLC : 2 2 Lc ZR X RX X ; tan ( )/ LC X XR φ = ; 00 Z = Some potentially useful numbers: 7- 1 41 0 T m A o μπ 92 - 2 0 1 91 0Nm C 4 e k = ⋅ ⋅ 8- 1 31 0ms c = ×⋅ 19 1.6 10 C e

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MIT PHYSICS DEPARTMENT ` page 2
MIT PHYSICS DEPARTMENT ` page 3 8.02 Exam Three Spring 2008 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 TTh 9 am ____L06 TTh 11 am ____L07 TTh 1 pm ____L08 TTh 3 pm Your Group (e.g. 10A): ______________ Score Grader Section 1 (25 points) Problem 1 (25 points) Problem 2 (25 points) Problem 3 (25 points) TOTAL

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MIT PHYSICS DEPARTMENT ` page 4 Section I: (25 points) Five Concept Questions. Please circle your answers.
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Exam3_2008Spr - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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