Exam3_2010Spr

# Exam3_2010Spr - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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1 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2010 Exam Three Equation Sheet Force Law: () q ext ext q =+ × FE v B rr r r Faraday’s law d dd dt ⋅= ∫∫ Es Ba ± Gauss’s Law: inside closedsurface / o dQ ε EA r r ± Gauss’s Law for Magnetism: 0 closed surface d BA r r ± Ampere’s Law 0 oo d d dt μμ ⋅+ Bs Ja Ea r r ± Electric Potential Difference: b ba a VVV d Δ= − ≡ − ⋅ r r V =−∇ E Potential Energy: UqV Δ=Δ Capacitance: V Q C Δ = 2 2 11 22 Q UC V C == Δ 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 μ = Current Density and Current: open surface I d = r r Ohm’s Law: VI R Δ = where is the conductivity cc σσ = JE r r where is the resistivity ρρ = EJ r r Power Dissipated in Resistor: Joule / PI V I R V R =Δ = Constants: 92 - 2 0 1/4 9 10 N m C e k πε = ⋅ ⋅ 7- 1 0 /4 10 T m A μπ = ⋅⋅ Differential Equations and Solutions: 0 dI IR L dt −= / (1 ) tR L It e R =− 0 dI IR L dt + = / 0 tR L Ie =

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3 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2010 8.02 Exam Three Spring 2010 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 Problem 1 (25 points) Problem 2 (25 points) Problem 3 (25 points) Problem 4 (25 points) TOTAL

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4 Problem 1: (25 points) Five Concept Questions. Please circle your answers. Question 1 (5 points): A very long solenoid consisting of N turns has radius R and length d ( d >> R ).
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## This note was uploaded on 02/27/2011 for the course PHYSICS 8 taught by Professor Dourmashkin during the Fall '10 term at MIT.

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Exam3_2010Spr - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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