Transcription of Introduction: ModelingElectricCircuits - usna.edu
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Introduction: ModelingElectricCircuits - usna.edu
ODEsandElectricCircuits1 Introduction: ModelingElectricCircuitsInt roduction:ModelingElectricCircuitsOneof the topicsthatyou will studyin your Physicsand ElectricalEngineeringcoursesat the Naval Academy is thatof single-loop [a] ThedevicelabeledEMF,which standsforelectromotiveforce, can be a batteryor to the circuit .[b] ThedevicelabeledCis acapacitorwhich storescharge.[c] ThedevicelabeledRis aresistorwhich opposesthe ow of current.[d] ThedevicelabeledLis aninductorwhich opposeschangein the ow of the the circuitis a switch, shown switch is closed,acurrentI(t) runsthroughthe circuitwhich changesthe chargeQ(t) at the measurements are, theirsymbols, and (sec)chargeQ(t)CoulombscurrentI(t)Ampere s(amps)electromotive force(EMF)E(t)Volts (V)Whenthe current is owing,thereis a correspondingvoltagedropacrosseach of devicesymbols, units,and :ModelingElectricCircuitsODEsandElectric Circuits2 Introduction: ModelingElectricCircuitsCir cuitDevicesdevicenamesymbolunitsvoltaged ropcapacitorCFarads(F)EC=1C QresistorROhms( )ER=R IinductorLHenries(H)EL=L dIdtAt any
ODEs and Electric Circuits 3 Introduction: Modeling Electric Circuits R-L Circuits: If there is no capacitor, we can investigate a flrst order ODE for the current I L dI dt +RI =E
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