Physics 8.02 Exam Two Fall 2007 Please Remove this Tear Sheet from Your Exam Some (possibly useful) Relations: inside, freeclosedsurfaceodκε⋅=∫∫EAwQGGdAGbd⋅Gpoints from inside to outside moving fromtoabbaaVVVΔ=−=−∫EsGmany point charges14NiqV=∑ioiπε=−rrGGVQCΔ=CV=ΔQU = 12C ΔV2= 2Q2Cseries12CC=+111C; parallel12CΔV = i RLRAρ=series12parallel121;RRRR22VPiViRohmic heatingRΔ=Δ ==2ˆ4oqcrμπ×=<vrBvGGG<2ˆ4oI ddr×=srBGGˆ pointssourceobserverrfromtothroughcontourodI∫BsGGvwherethroughopen surfaceId=⋅∫∫JAGGds right-handed with respect todA sgl loopddNdtdtΦ−⋅=−∫EdsBdAGGv220122EBoBuEu==B,self,totalbackdILLIdtΦ−212LUL=Iextq=×FvBGGGextdFsBG2cent.Fmv=r= perpendicular to loop,right-handed with respect to IAIμnnG±±
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This note was uploaded on 04/07/2008 for the course 8 8.02 taught by Professor Hudson during the Fall '07 term at MIT.