Exam2_2010Spr

Exam2_2010Spr - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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1 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2010 Exam Two Equation Sheet Force Law: () ext ext q =+ × FEv B rr r r Source Equations: 23 1 ˆ 44 oo dq dq d πε == Er r r r ˆ Id Id d μ ππ ×× sr B r r ˆ r r r= r points from source to field point Current Density and Current: open surface I d =⋅ ∫∫ Ja r r Gauss’s Law: inside closedsurface / o dQ ε ⋅= EA r r ± Gauss’s Law for Magnetism: 0 closed surface d BA r r ± Electric Potential Difference: b ba a VVV d Δ= − ≡ − ⋅ Es r r V =−∇ E Potential Energy: UqV Δ=Δ Capacitance: V Q C Δ = 2 2 11 22 Q UC V C = Capacitors in Parallel: 12 eq CC C =++ Capacitors in Series: 1 eq C Ohm’s Law: VI R Δ = where is the conductivity cc σσ = JE r r where is the resistivity ρρ = EJ r r Resistors in Parallel: 1 eq RR R = + +⋅⋅⋅ Resistors in Series: eq R Power Loss in Resistor: Joule / PI V I R V R =Δ = Magnetic Dipole : = I A μ n r ) Torque on Magnetic Dipole: τ μ B r Constants: 92 - 2 0 1/4 9 10 N m C e k = ⋅ ⋅ 7- 1 0 /4 10 T m A μπ = ⋅⋅
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3 8.02 Exam Two 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) Circle the correct answer. Consider a simple parallel-plate capacitor whose plates are given equal and opposite charges and are separated by a distance d. The capacitor is connected to a battery. Suppose the plates are pushed together until they are separated by a distance D = d/2. How does the final electrostatic energy stored in the capacitor compare to the initial energy? a) Final is half the initial. b) Final is one fourth the initial. c) Final is twice than initial. d) Final is four times the initial.
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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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Exam2_2010Spr - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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