17 - 13-Jun-11-7:06 PMRL& RC Circuits1University of...

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Unformatted text preview: 13-Jun-11---7:06 PMRL & RC Circuits1University of Florida, EEL 3111 – File #17© Dr. Eric M. SchwartzEEL 3111: Circuits 1•Finish up some old issuesToday’s Menu•RL and RC Circuits•RL Circuit Analysis> Examples•RC Circuit AnalysisToday’s Class ...University of Florida, EEL 3111 –File #17© Dr. Eric M. Schwartz1> ExamplesSee examples on web-site: OMalley103, OMalley102, RLC0, RL0, RL1, RC0, RC1 EEL 3111: Circuits 1Find RLfor Max Power Transfer & PMAXV21RL=RTHfor max powerTHTHMAXRVP41VOCby voltage division:Across each 16is 150V.Across 60is: FindRTH=RLOMalley103.schUniversity of Florida, EEL 3111 –File #17© Dr. Eric M. Schwartz2 V240156060300V90150240OCV2081216||1660||15THRTHLOMalley103a.sch13-Jun-11---7:06 PMRL & RC Circuits2University of Florida, EEL 3111 – File #17© Dr. Eric M. SchwartzEEL 3111: Circuits 1Non-linear Resistor Problem49435:OCOCOCVVVVOC IOMalley102.schFind I1375133634||93THRab+V=2 I2– 14443649359OCOCVV45913OCVV13459OCVaUniversity of Florida, EEL 3111 –File #17© Dr. Eric M. Schwartz34597526134592137522IIIIFrom the quadratic theorem:5223175IPick the positive answer since only possible answer (with given source)A3I+V=2 I2–IbEEL 3111: Circuits 1RL and RC Circuits DC Sources+a•Switching at time t= 0. Interested in vC(t)[voltageacross a capacitor] or Our Dependent SourcesResistors and Switches+vC-biLUniversity of Florida, EEL 3111 –File #17© Dr. Eric M. Schwartz4iL(t)[currentthrough an inductor] for t•For both, we’ll often use Theveninafterthe switching, at t= 0+immediate concern is circuits with ONECor ONEL13-Jun-11---7:06 PMRL & RC Circuits3University of Florida, EEL 3111 – File #17© Dr. Eric M. SchwartzEEL 3111: Circuits 1RLCircuit Analysis Derivation Part 1•Goal: Find iL(t)for tiL(t)aTHTHViRdtdiLt:L•Determine the differential equation.iL(0)LViLRdtdiTHTH:EquationalDifferentiKVL:RL0.schUniversity of Florida, EEL 3111 –File #17© Dr. Eric M. Schwartz5bForm of the solution:FNPHiiiiti)(H: Homogeneous SolutionP:Particular SolutionN: Natural ResponseF:Forced ResponseInitial value or conditionEEL 3111: Circuits 1RLCircuit Analysis Derivation Part 2•Use method of undetermined LViLRdtdiTHTHRL0.schcoefficients> “Guess”: iP=K(a constant)> Plug it in:1) Find aForcedResponse orParticular...
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17 - 13-Jun-11-7:06 PMRL& RC Circuits1University of...

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