Physics 8.02 Exam Two Spring2006Some (possibly useful) Relations: insideclosedsurfaceoQdκε⋅=∫∫EAGGwpoints from inside to outsidedAGmoving fromtobabbaaVVV∆=−=−∫EsGGd⋅0d−⋅=∫GGvmany point charges14NiioiqVπε==−∑rrGGVQC∆=CQV=∆parallelplateoACd=U = 12C ∆V2= Q22Cseries1211CC=+1Cparallel12Cwhereis the resistivityρρ=EJ∆V = i R LRAρ=1Rparallel= 1R1+ 1R2Rseries= R1+ R222ohmic heatingVPiViRR∆=∆ ==2ˆ4oqcrµπ×=<<vrBvGGG2ˆr4oI dd×=BsrGGˆ pointssourceobserverrfromtothroughcontourodI∫BsGGvwhereIthroughis the current flowing through any open surface bounded by the contour:throughopen surfaceId=⋅∫JAGGds right-handed with respect todA sgl loopddNdtdtΦ−⋅=−EdsBdAvextq=×FvBGGGextdFsBG2cent.Fmv=r= perpendicular to loop,right-handed with respect to
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This test prep was uploaded on 04/07/2008 for the course 8 8.02 taught by Professor Hudson during the Fall '07 term at MIT.