Physics 8.02 Exam Three Spring 2006 Please Remove this Tear Sheet from Your Exam Some (possibly useful) Relations: 21ˆ4odqdrπε=ErGfree, insideclosedsurfaceoQdκε⋅=∫∫EAGGwpoints from inside to outsidedAGsgl loopddNdtdtΦ−⋅=−EdsBdAvmoving fromtobabbaaVVVd∆=−=−⋅∫EsGG2ˆ4oqcrµπ×=<<vrBvGGG2ˆ4oI ddr×=srBGGˆwhere pointssourceobserverrfromto0closedsurfacedBAGGwthrough0contourEoddIdtµεΦ⎛⎞+⎜⎟⎝⎠∫BsGGvwhereIthroughis the current flowing through any open surface bounded by the contour:throughopen surfaceId=⋅∫JAGGdsisright-handed with respect todA 220122EBoBuEu==()extq=+×FEvBGGGGextd=×FsBGGG2cent.Fmvr=IA=μnG±τμBGzzzdBFdz=VIRLRAρ=22ohmic heatingVPIVIRR∆=∆ ==QCV=∆parallelplateoACd=22122QUCVC=∆=1CRCXCτω==B,self,totalbackdILLIdtΦ−212LULI=/LLRXL==Series RLC: 22tanLCZRXRXXXRϕ−=2fTkω=π=π=πλ1200cTfk−=λ=λ =ω = µε0light0ˆˆˆEvB=×=EB pabsorbreflect012;SSPPcc==µSEBGGGIf the function Dtsatisfies the equation
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This note was uploaded on 04/27/2009 for the course 8 8.02 taught by Professor Hudson during the Spring '07 term at MIT.