circuit theory - universiti teknologi malaysia · circuit theory . 2 introduction this laboratory...
TRANSCRIPT
Fakulti:FACULTYOFBIOSCIENCESANDMEDICALENGINEERING
NamaMatapelajaran:Laboratory1
KodMatapelajaran:SMBE2712
SemakanTarikhKeluaranPindaanTerakhirNo.Prosedur
::2013:2017:
FACULTYOFBIOSCIENCESANDMEDICALENGINEERING
UNIVERSITITEKNOLOGIMALAYSIA
SMBE2712LABORATORY1
STUDENTPACK
Disediakanoleh
Disahkanoleh
Nama :AriefRuhullahbinAHarris Nama :
Tandatangan : Tandatangan :
Cop : Cop
:
Tarikh :10/9/2017 Tarikh :
CIRCUIT THEORY
2
Introduction
Thislaboratoryconsistsofthreesessionsthatrequiresthestudentstostudy,calculateandimplementsomebasiccircuitstheory.Inthefirstsession,studentsarerequiredtostudy,calculateandimplementR-LandR-Cseriestransientcircuits.Forthesecondsession,studentswillbeexposedwithtwo-portnetworkcircuit.Thefinalsession,studentswillimplementTheveninandNortonTheoremcircuits.
Experiment1(week1):R-LandR-CSeriesTransientcircuitsObjectiveTostudy,calculateandimplementR-LandR-Cseriestransientcircuits.Equipments1. RFElectronicsTrainingsystem(CircuitTheory3)2. Adapter3. ConnectionWires(bananaplug)4. Multimeterx25. OscilloscopePre-lab(Mustbedonebeforethelabsession)1. Explainthetimeconstant,τincircuitanalysis
______________________________________________________________________________________________________________________________
2. ForthecircuitinFigure1abelow,a. DeriveanexpressionofVR(t)=Vs(t)e
-(t/τ))andVR’(t)=Vs(1-e-(t/τ))whereτ=L/R
b. IfR=4kΩ,6kΩ,8kΩ,L=100mHandVs=5V(stepresponseorsquarewavewith1kHz):
i. DetermineVR(t)andVR’(t)att=τ,2τ,3τforthementionedvaluesofR.
3
ii. SketchtheresponseofVR(t)andVR’(t)versust
iii. Calculatethetheoreticalinstantaneouscurrenti(t)valuesfort=τ,2τ,3τ.
3. ForthecircuitinFigure1bbelow,
a. DeriveanexpressionofVc(t)=Vs(t)e-(t/τ))andVc’(t)=Vs(1-e
-(t/τ))whereτ=RC
b. IfC=0.05μF,0.10μF,0.15μF,R=1kΩandVs=5V(stepresponseorsquarewavewith1kHz):
i. DetermineVc(t)andVc’(t)att=τ,2τ,3τforthementionedvaluesofC.
4
ii. SketchtheresponseofVc(t)andVc’(t)versust
iii. Calculatethetheoreticalinstantaneouscurrenti(t)valuesfort=τ,2τ,3τ.
Lecturerapproval:____________
Stamp:________________
Figure1aFigure1b
Tasks1. Basedonthestepsinthepre-labexercise,constructtheRLcircuitasinFigure1a.2. Recordyourresultsandcomparewithyourpre-labexercise.Usecursorfunctionon
oscilloscopetoobtainΔt(timedifference)andΔV(voltagedifference).3. ConstructtheRCcircuitasinFigure1bwiththesamevaluesasinpre-labexercise.4. Recordyourresultsandcomparewithyourpre-labexercise.Usecursorfunctionon
oscilloscopetoobtainΔtandΔV.Referpage6foroscilloscopecursorfunctionmanual.5. Discussandmakecomparisonbetweentheresultofexperimentandtheory.
5
Results:RL Theory(calculation) Experiment 4kΩ 6kΩ 8kΩ 4kΩ 6kΩ 8kΩ
VR(t) Δt ΔV Δt ΔV Δt ΔV Δt ΔV Δt ΔV Δt ΔVτ 2τ 3τ
VR’(t) Δt ΔV Δt ΔV Δt ΔV Δt ΔV Δt ΔV Δt ΔVτ 2τ 3τ
RC Theory(calculation) Experiment 0.05μF 0.10μF 0.15μF 0.05μF 0.10μF 0.15μF
Vc(t) Δt ΔV Δt ΔV Δt ΔV Δt ΔV Δt ΔV Δt ΔVτ 2τ 3τ
VC’(t) Δt ΔV Δt ΔV Δt ΔV Δt ΔV Δt ΔV Δt ΔVτ 2τ 3τ
Discussion:
Conclusion:
Lecturerapproval:____________Stamp:________________
6
HowtousecursorfunctioninOscilloscope
1. Pushthecursorbutton(B)2. Setthecursortypeto“TIME”bypushingbuttonE3. Selectcursor1bypushingbuttonD14. Adjustthecursor1todesireddurationstart(e.gbeginningofrisetime)usingdialA5. Selectcursor2bypushingbuttonD26. Adjustthecursor2todesireddurationend(e.gdesired�tonC)usingdialA.7. RefinethedurationbyadjustingthetimeresolutionwithbuttonFandadjustagainthe
cursors.8. Readandrecordthe�vonC.
AB
C D1/D2 E F
7
Experiment2(week2):Two-portNetworkObjectiveToanalyzeTandπnetworkintoABCDparametersandzparameters.
Equipments1.DCpowersupply2.Multimeterx23.Connectionwires(jumpers)4.Protoboard5.27Ω(1watt)resistorsx36.51Ω(1watt)resistorsx37.30Ω(1watt)resistorsx3Pre-lab(Mustbedonebeforethelabsession)1. WritedowntheformulatoconvertaTnetworktoitsequivalentπnetwork.
2. CalculateZparametersfromFigure2WhereZ1=Z2=Z3=27ΩandV1=5V.
3. Sketchandcalculatetheequivalentπnetworkcircuit.
Lecturerapproval:____________Stamp:________________
8
Figure2
Tasks1. ConstructtheTnetworkcircuitasinFigure2withZ1= Z2= Z3=27ΩandV1=5V2. Keepoutputportopencircuitedi.e.I2=0.MeasurethecurrentI1byconnecting
multimeterinserieswithZ1.3. MeasurevoltageV2bymultimeter.4. ObtainZparametersoftheTnetwork.5. Keepinputportopencircuitedi.e.I1=0.MeasurethecurrentI2byconnecting
multimeterinserieswithZ2.6. Observeanddiscussthevaluesoftheparameters.7. Constructtheequivalentπnetworkcircuitandrepeatstep2-6.
9
Results:
I2=0 I1=0Calculation Experiment
(Tnetwork)Experiment(πnetwork)
Calculation Experiment(Tnetwork)
Experiment(πnetwork)
V1=5V V2=5V V2= V1= I1= I2= Z11= Z12= Z21= Z22=
Discussion:
Conclusion:
Lecturerapproval:____________Stamp:________________
10
Experiment3(week3):TheveninandNortonTheoremObjectiveToobtainTheveninandNortonequivalentcircuitfromacomplexcircuit
Equipments1.DCpowersupply2.Multimeterx23.Connectionwires4.Protoboard5.Resistors10Ωx2,12Ω,20Ω,30Ω,50Ω,100Ωx2,150Ω,200Ω6.Variableresistor1kΩx2.Pre-lab(Mustbedonebeforethelabsession)1. ExplainwhatisthefunctionofTheveninandNortonTheorem.
2. CalculatetheTheveninequivalentresistanceRThofFigure3abelowwithopencircuitatterminal
A-B.
3. CalculatetheTheveninvoltageVThoffigure3a(OpencircuitvoltageatterminalA-B)andNorton
currentIN(ShortcircuitcurrentatterminalA-BwithoutRL).
Lecturerapproval:____________Stamp:________________
11
Figure3aTasks1. ConstructthecircuitasinFigure3a.2. MeasureandrecordtheammeterreadingsILforloadresistance,RL=0 Ω,10 Ω,20 Ω,30 Ω,50 Ω,100 Ω,and200 Ω.
3. Recordyourresults.4. Fromfigure3a,opentheterminala-b(RemoveRL),measure the Thevenin voltage VTh
(Open circuit voltage at terminal A-B) and Norton current IN (Short circuit current at terminal A-B).
5. Replacethe1Vvoltagesupplywithawire(shortcircuit)andmeasuretheThevenin equivalent resistance RTh at terminal A-B.
6. ConstructaTheveninequivalentcircuitasinFigure3busingmeasuredvalueofRTh and VTh.
7. Repeatstep2and3.8. ConstructaNortonequivalentcircuitasinFigure3cusingmeasuredvalueofRN = RTh
and adjust the Supply voltage E to get the value of IN equals to the measured value in step 5.
9. Repeatstep2and3.
Figure 3b
Figure3c
1V
12
Results:
Calculation ExperimentRTh VTh IN
RL IL IL(Thevenin) IL(Norton) E0Ω 10Ω 20Ω 30Ω 50Ω 100Ω 200Ω
Discussion:
Conclusion:
Lecturerapproval:____________Stamp:________________