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Copyright?2013TheMcGraw-HillCompanies,Inc.Permissionrequiredforreproductionordisplay.1Chapter3VoltageandCurrentLaws
Nodes,Paths,Loops,BranchesCopyright?2013TheMcGraw-HillCompanies,Inc.Permissionrequiredforreproductionordisplay.2thesetwonetworksareequivalenttherearethreenodesandfivebranchesapathisasequenceofnodesaloopisaclosed(circular)path
Kirchhoff’sCurrentLawKCL:Thealgebraicsumofthecurrentsenteringanynodeiszero.Copyright?2013TheMcGraw-HillCompanies,Inc.Permissionrequiredforreproductionordisplay.3iA+iB+(?iC)+(?iD)=0
KCL:AlternativeFormsCurrentINiszero:iA+iB+(?iC)+(?iD)=0CurrentOUTiszero:(-iA)+(-iB)+iC+iD=0CurrentIN=OUT:iA+iB=iC+iDCopyright?2013TheMcGraw-HillCompanies,Inc.Permissionrequiredforreproductionordisplay.4
ExampleofKCLApplicationCopyright?2013TheMcGraw-HillCompanies,Inc.Permissionrequiredforreproductionordisplay.5FindthecurrentthroughresistorR3ifitisknownthatthevoltagesourcesuppliesacurrentof3A.Answer:i=6A
Kirchhoff’sVoltageLawCopyright?2013TheMcGraw-HillCompanies,Inc.Permissionrequiredforreproductionordisplay.6KVL:Thealgebraicsumofthevoltagesaroundanyclosedpathiszero.v1+(-v2)+(?v3)=0
KVL:AlternativeFormsCopyright?2013TheMcGraw-HillCompanies,Inc.Permissionrequiredforreproductionordisplay.7SumofRISESiszero(clockwisefromB):v1+(-v2)+v3=0SumofDROPSiszero(clockwisefromB):(-v1)+v2+(-v3)=0Twopaths,samevoltage(AtoB):v1=(-v3)+v2
Example:ApplyingKVLCopyright?2013TheMcGraw-HillCompanies,Inc.Permissionrequiredforreproductionordisplay.8FindvR2(thevoltageacrossR2)andthevoltagevx.Answer:vR2=32Vandvx=6V.
ApplyingKVL,KCL,Ohm’sCopyright?2013TheMcGraw-HillCompanies,Inc.Permissionrequiredforreproductionordisplay.9Example:findthecurrentixandthevol
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