circuit theory - universiti teknologi malaysia · circuit theory . 2 introduction this laboratory...

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

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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.

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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.

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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.

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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:________________

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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

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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:________________

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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.

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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:________________

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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:________________

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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

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Results:

Calculation ExperimentRTh VTh IN

RL IL IL(Thevenin) IL(Norton) E0Ω 10Ω 20Ω 30Ω 50Ω 100Ω 200Ω

Discussion:

Conclusion:

Lecturerapproval:____________Stamp:________________