ENGR 1181 | Lab 3: Circuits ‐ Preparation Material ‐ Lab Procedure ‐ Report Guidelines ENGR 1181 Lab 3: Circuits Preparation Material Preparation Material 2 ENGR 1181 Lab 3: Circuits Preparation Material Goal of the Circuits: TheCircuitsLabintroducesseriesandparallelcircuitwhichareusedbyengineers.Studentswill reviewthisdocumentandthentaketheCarmenquizbeforearrivingatlab. Learning Objectives IntheCircuitsLab,youwill: 1. 2. 3. 4. 5. Constructelectriccircuitsusingabreadboard Developtechniquestomeasurevoltage,currentandresistance ApplyOhm’sLaw,PowerLaw,Kirchhoff’sCurrentLawandKirchhoff’sVoltageLaw Calculatetheequivalentresistanceofelectriccircuit Demonstratethepropercircuitconfigurationforagivenscenario 1. Circuits in Technology Electricalcircuitsareusuallylaidoutonprinted circuitboards.Theboardismadeofan electrically‐insulatingmaterial.Muchofthe "wiring"onaprintedcircuitboardismadefrom insulatedmetalpathsprintedontheboard, ratherthanactualwires.Thatiswhytheyare called"printed"circuitboards. Figure1showsthefrontandbackoftheprinted circuitboardinsideaniPodTouch. Combinationsofresistors,capacitors,diodes, integratedcircuitsareconnectedbyelectrical pathsontheboards.Thepinsonthe componentsareconnectedtogetherbywire tracesontheboard. Figure 1: The iPod Touch circuit board 2. Measuring Electrical Circuits Current Electricalcurrentistheflowofelectricchargeviaelectrons.Similartowaterflowingthrougha pipe.Theamountofwaterflowingthroughapipecanbemeasuredingallonsperminute.Electrical currentisdefinedastheamountofchargethatmovespastalocationinthewireperunittime(1 ampere=1coulombpersecond). 3 ENGR 1181 Lab 3: Circuits Preparation Material Voltage Voltage(ElectricalPotential)isameasureoftheelectricalforcebetweentwopointswhichcauses currenttoflow.Justaspressurecauseswatertoflowthroughapipe,avoltagedifferencecauses electronstoflowthroughawire.Voltageisalwaysmeasuredrelativetoareferencepointinvolts (V). Figure2showsadigitalvoltmeterbeingusedtomeasurethevoltagedifference(5.23Volts)across a1000Ohmresistor.Inthiscase,thevoltageandcurrentthroughtheresistorareconstant, thereforewecallthisadirectcurrent(DC)circuit. Figure 2: Measuring voltage across a resistor Resistance Resistanceistheoppositiontotheflowofcurrentthroughaconductor.Aresistorisoneofthe manyexamplesofanelectroniccomponentthatresiststheflowofcurrent.WhenavoltageV(in Volts)isappliedacrossaresistor,itcausesthecurrentI(Amperes)toflowthroughtheresistor, andwecancalculateresistanceRusingOhm'sLaw: ∙ .TheunitofresistanceistheOhm andissometimesgiventheGreeklettersymbolΩ: Resistance R Ω (1) 4 ENGR 1181 Lab 3: Circuits Preparation Material Light Emitting Diode (LED) AnLEDisadevicethatemitslightwhencurrentflowsthroughit.Itcanbeusedasalightsource,or asanindicator.Whatmakesituniquefromothercomponentsisthatcurrentcanonlyflowthrough itinthedirectionofthearrow.Therefore,anLEDisapolarizedcomponentandmustalwaysbe insertedintoacircuitboardwiththecorrectorientation. WhenyoubuildaLEDcircuitinlab,youplugtheLEDintoacircuitboardwiththepositivewire connectedtothepositivesideofthebattery.Figure3showstwodifferenttypesofLEDs.Inthislab youwillbeusingtheLEDontheleftduetoitsdurabilityhoweverinfuturelabsyouwillusethe typeofLEDontherightofFigure3.Itisimportantforfuturereferencethatthelongerwiredenotes thepositiveleadandsotheshorterlead(negative)goestoground.Figure4isanexampleofanLED inaschematic. Figure 3: Two types of LEDs Figure 4: LED schematic symbol Electrical Circuit Schematics Aschematicisanengineeringdrawingofanelectricalcircuit.Each symbolontheschematicrepresentsacomponentinthecircuit. Figure5showsthesymbolsforvariouselectricalcomponents. Thelinesintheschematicrepresentthewiresormetalpathsonthe circuitboardthatconnectthecomponentstogether.Metalslike copperandaluminum,whichhaveverylowresistance,areusedfor circuitconnectionsbecausetheyaregoodconductorsofelectricity. Figure 5: Schematic symbols 5 ENGR 1181 Lab 3: Circuits Preparation Material 3. Electric Circuit Laws Ohm’s Law Electricalcurrentistheflowofelectricchargeviaelectrons.Similartowaterflowingthrougha pipe.Theamountofwaterflowingthroughapipecanbemeasuredingallonsperminute.Electrical currentisdefinedastheamountofchargethatmovespastalocationinthewireperunittime(1 ampere=1coulombpersecond). ThevoltagedifferenceV(Volts)acrossaresistorisequaltotheproductofthecurrentI(Amperes) andtheresistanceR(Ohms): Ohm’sLaw ∗ ∗ (2) Power Law ThepowerdissipatedP(Watts)inacomponentwithresistanceRisequaltoproductofthevoltage V(Volts)acrossthecomponentandthecurrentI(Amperes)flowingthroughit: PowerLaw UsingOhm’sLaw, ∗ ∗ (3a) PowerLaw ∗ ∗ (3b) Calculation of current, voltage and power UsetheOhm’sLawtosolvesampleproblems: Considertheresistorschematic(Figure6)thathasaresistorR=10kΩandavoltageinputV=10 volts. Calculate:thecurrentflowingthroughtheresistor. Current, I I Ω , Ω 0.001Amp 1mA Figure 6: Resistor schematic R Voltage, V 6 ENGR 1181 Lab 3: Circuits Preparation Material Forthecaseofthesameresistor,R=10kΩbutwithcurrentof0.5mAflowingthrough, Calculate:Voltageacrosstheresistor V I ∗ R 0.5mA ∗ 10kΩ V 5Volts 0.0005A ∗ 10,000Ω UseOhm’sLawandthePowerLawtosolveasampleproblem.ThecircuitinFigure7hasabattery voltageV=15VoltsandaresistorR=5Ohms. Calculate:Currentgoingthroughtheresistor. UsingOhm’sLaw, Current, I I 3Amps 15 Volts BATTERY R = 5 Ohms Calculate:Powerdissipatedintheresistor. UsingPowerLaw, P Figure 7: Basic Circuit Schematic V ∗ I 15V ∗ 3A 45Watts Kirchhoff’s Voltage Law InthecircuitofFigure8,thebatterycreatesanelectronsflow throughthewiresandeachresistorinaloop.Electronscarry negativechargeandleavethenegativeterminal of the battery, returning to the positive terminal. However, conventional current is defined as the movement of positive charge, so we define the positive flow of current as the direction shown of the arrow for I. Current, I V1 R1 Vbat V2 R2 V3 R3 Since the same current I flows through each of the resistors, it creates the voltage differences across each resistor, shown by the three voltages V1, V2 and V3. Therefore, the battery voltage Vbat is equal to the sum of the voltage difference: Kirchhoff’sVoltageLaw Figure 8: Kirchhoff's Voltage Law 4 7 ENGR 1181 Lab 3: Circuits Preparation Material Kirchhoff’s Current Law Sincevoltageisthesameacrosseveryresistorconnectedinparallel,thesumofcurrentsentering intoanodeisequaltothesumofcurrentsleavinganode.Anodeinacircuitisthejunctionof3or morewire,usuallypresentedasadotsimilarlytoFigure9. Kirchhoff'sCurrentLaw (5) I2 I0 I1 Vbat R1 R2 Figure 9: Kirchhoff's current law sample circuit Equivalent Resistance For calculation purposes, several resistors can be replaced by a single “equivalent” resistor (Req). Resistors Connected in Series Sincethecurrentisthesamethroughalltheresistorsconnectedinseries,thentheequivalence resistanceisthesumofalltheresistors.Figure10isanexampleofhowanequivalentresistance canbefoundforresistersinseries. EquivalentResistance series (6a) Current, I Current, I V1 R1 Vbat Vbat Req (Series) V2 R2 V3 R3 Figure 10: Equivalence of resistors in series 8 ENGR 1181 Lab 3: Circuits Preparation Material Resistors Connected in Parallel Sincevoltageisthesameacrosseveryresistorconnectedinparallel,thetotalcurrentisthesumof thecurrentsflowingthroughtheindividualresistors.Figure11isanexampleofhowanequivalent resistancecanbefoundforresistersinparallel. 1 R EquivalentResistance parallel 1 R1 1 R2 1 R3 6b I0 I0 Vbat R1 R2 Vbat R3 I1 I2 Req (Parallel) I3 Figure 11: Equivalent resistance of resistors in parallel Notethattheequivalentresistanceis1/Req,soinordertofindReq,theinversemustbetaken. Calculation of current power dissipated and equivalent resistance Letusconsideranelectriccircuitschematic(showninFigure12)thathasabatteryvoltageof VBAT=15VoltsconnectedtoresistorsR1=100ohmsandR2=200ohmsinparallel. Calculate:CurrentacrossresistorR1,powerdissipated(PR1)acrossresistorR1,andequivalent resistanceReqofthecircuit. I2 I0 Vbat 15 Volts R1 100 Ohms I1 R2 200 Ohms Figure 12: Basic circuit with resistors connected in parallel 9 ENGR 1181 Lab 3: Circuits Preparation Material Calculate:CurrentgoingthroughR KeepinmindthatinaparallelcircuitthebatteryvoltageacrossR1andR2isthesame (VBAT=15volts).Therefore,usingOhm’sLawforresistorR1 I 0.15Amp 150mA Calculate:PowerdissipatedinR usingthePowerLaw P V ∗ I 15 ∗ 0.15 2.25Watts Calculate:R forthecircuit.(Hint:SubstituteR1andR2intoEquation6b) 1 R1 1 R R 1 R2 1 0.015 1 100Ω 1 200Ω 0.015 66.7Ω Resistances in Parallel and Series Together Whencalculatingequivalentresistance(Req)inacircuit,astepbystepapproachisbest.First,you mustidentifyeachuniquegroupinthecircuit.Withineachsub‐groupyoushoulddothefollowing: 1. Foreachresistor,identifywhethertheresistorisinseriesorparallel. 2. Ifinparallel,thencalculateRequsingtheparallelmethod.OtherwisecalculateReq usingtheseriesmethod. 3. Repeatuntilthesub‐groupisreducedtoasingleReq 4. Proceedtothenextsub‐groupusingstepsuntilthetotalReqiscalculated. SeetheexampleshowninFigure13.Abatteryisconnectedto3resistors(R1,R2andR3).Resistors R2andR3areconnectedinseriesandR1isconnectedparalleltoresistorsR2andR3. 10 ENGR 1181 Lab 3: Circuits Preparation Material I2 I0 R2 Vbat R1 I1 R3 Figure 13: A series and parallel resistances circuit I2 I0 I1 Vbat R1 R23 Figure 14: A series and parallel resistances circuit converted to only parallel resistances circuit I0 Vbat Req Figure 15: Simplified circuit with equivalent resistance. Inordertosolvetheoverallequivalenceresistance,weneedtosimplifythecircuitstepbystep.The firststepwillbetocombineR2andR3tocreateFigure14.InordertoobtainR23,wewillusethe equivalenceresistanceequation6aforresistorsR2andR3connectedinseries,orR23=R2+R3.Then wehaveR1andR23inparallelandwecanuseequation6btoobtaintheequivalentresistanceReqto simplifythecircuitasshowninFigure15.Thefollowingequation6cshowsthecalculationofthe totalequivalentresistanceoftheseries‐parallelcircuit, 1 R EquivalentResistance 1 R 1 R R 1 R 1 R 6c 11 ENGR 1181 Lab 3: Circuits Preparation Material 4. Equipment Breadboard Breadboardsareusedtoquicklybuildandtestprototypeelectroniccircuits.Circuitcomponents areinsertedintothesmallcontactholesontopoftheboardtomakeelectricalconnectionstoother components.Figure17belowshowshowgroupsofholesareconnectedtogether(byshinymetal stripsrunningverticallyandhorizontallyunderneaththeholesontheboard),allowingcircuit connectionsonthetopsideoftheboardtobemadeeasily.Atthetopleft,thefirsttwoplastic connectorsarewired(left‐to‐right):1.toGround(Blackconnector),2.to+5Volts(Redconnector). ThenexttworedconnectorswillbeusedtoconnectTestProbestotheDigitalMultimeter(DMM). Figure 16: The front of a breadboard showing the connections between the different alignments of holes Figure 17: The back of a breadboard showing the metal connections correlating to the alignment on the front work surface Digital Multimeter (DMM) DigitalMultimeter(Figure18)aredesignedtomeasureelectricalproperties.Theyaremost commonlyusedformeasuringvoltage,current,andresistance.Typically,theleadsonthe Multimeterarecolor‐coded:redisforPositivepolarityandblackisNegative.Thereareseveral settingsontheMultimeterthatallowittobeversatile.IntheCircuitsLab,wewillonlyusetheDC VoltssettingandtheOhmssetting.TheDCVsettingstandsfordirectcurrentvoltage,whichwillbe usedtomeasurethevoltagedifferencebetweentwopoints.TheΩ(Ohm)settingwillbeusedto measureelectricalresistance. Note:theDMMwillnotbeusedtomeasureCURRENT.Currentwillbe calculatedwithOhm'sLawfrommeasuredvoltageandresistancevalues. 12 ENGR 1181 Lab 3: Circuits Preparation Material DC Voltage (Volts) Resistance (Ohms) Figure 18: Digital Multimeter (DMM) with probes attached 5. Further preparation assignment InordertofinishyourpreparationforCircuitsLab,studentsarerequiredto: WatchthevideoonhowtousetheDMM TaketheCircuitsLabquizonCarmen CompletethePre‐LabWorksheetbelow 13 ENGR 1181 Lab 3: Circuits Preparation Material Lab 3: Circuits Lab ‐ Pre‐lab Assignment Name________________________________ Team______ SeatNo._______ Thisisanindividualassignment. SolvethefiveproblemsbelowandhanditinatthebeginningoftheCircuitsLab. Problem 1. Ohm’s Law Forthecircuitbelow,calculatethevalueoftheresistorRwhichwouldcausethecurrentof2.5mA toflowinthecircuit.Whatvoltagewouldyoumeasureacrosstheresistor?Showyourcalculations. (4points) I 2.5 mA R=_________________________ 15 Volts Vbat R Vres Vres=________________________ Problem 2. Kirchhoff’s Voltage Law Forthecircuitbelow,calculate:(1)theequivalentresistance,(2)thecurrent,I,flowinginthe circuit,(3)thevoltagesV1andV2,and(4)verifythatV1+V2=Vbat.Showallcalculations.(Note:1 kΩ=103Ω).(5points) I Req =_____________________ R1 10k V1 I=_______________________ V1=______________________ 5 Volts Vbat R2 20k V2 V2=______________________ V1+V2=_________________=Vbat? 14 ENGR 1181 Lab 3: Circuits Preparation Material Name_____________________________________________ Team___________ SeatNo._______________ Problem 3. Power Law ForthecircuitinProblem2,calculatethepowerdissipatedineachresistor,andthetotalpower generated.Showallcalculations.(3points) P1=_______________________P2=_______________________PTotal=_______________________ Problem 4. Equivalent Resistance Calculatethetotalequivalentresistanceofthecircuitbelow.Also,calculatethetotalcurrent suppliedbythebattery,I0.Showallcalculations.(3points) I0 6 Volts Vbat R1 3 Ohms I1 R2 9 Ohms I2 R3 18 Ohms I3 Req =______________________ I0=________________________ Problem 5. Kirchhoff’s Current Law ForthecircuitinProblem4,calculatethe currents,I1,I2,andI3.DoesI1+I2+I3=I0 (fromProblem4)?Showallcalculations.(3 points) I1 =_______________________ I2=_______________________ I3=_______________________ DoesI1+I2+I3=_________________=I0? 15 ENGR1181Lab3:Circuits LabProcedure Lab Procedure 16 ENGR1181Lab3:Circuits LabProcedure Introduction and Background TheholidayseasoniscomingupandTheLightsCompanyistryingtoimprovetheirholidaylights. Havingreceivedcustomercomplaintsduringthepreviousholidayseason,thecompanyneedstofix theircurrentholidaylightconfiguration.Majorityofthecustomersreportedthattheirproblem withtheHolidaylightswasifonebulbwentout,therestofthechaindiedout.EngineersatBright LightshavetofigureoutawaytopreventtheproblemthatTheLightsCompanyfaces,andifnot fixedtheupcomingholidayseasonmightresultinalossforTheLightsCompany. Yourbosshasaskedyouandateamofelectricalengineerstofigureoutasolutiontothisproblem. TheLightsCompanydoesnothaveenoughmoneytogoandbuynewparts,thustheengineershave toreuseasmuchoftheresistorsandLED’savailableatthecompany.Theelectricalengineers believethatperhapschangingthetypeofcircuit(seriesorparallel)mightsolveTheLights Company’sproblemwhilenotcostingtoomuch. Yourteam’staskistodeterminewhichcircuittype,seriesorparallel,wouldbebestforTheLights Company,andthenreportbackonsolvingTheLightsCompany’sdilemma. 17 ENGR1181Lab3:Circuits LabProcedure Circuits Lab Setup Banana Plug Wires 1 Black and 1 Red DMM +5 Volt Power Module Breadboard (Pre-Wired) Circuit Components Breadboard Connections +5 Volt Switch Box +5 Volts Power Ground DMM Probe Wires 18 ENGR1181Lab3:Circuits LabProcedure Task 1. Basic Setup 1.1 Plugthe+5VoltModularPowerSupplyintothepowerbaronthelabtable.Plugtheother end(Bayonetconnector)intothe+5VoltSwitchBoxatthetoprightcornerofthe Breadboard.PushtheswitchontheSwitchBoxtothelefttoturn+5VoltsPowerontothe Breadboard.Noticewhichlightindicates"PowerOn".TurntheSwitchBox"Off". 1.2 SetupthebreadboardasshowninFigure19.ConnecttheDMMtotheBreadboardusing theRedandBlackBananaPlugWiresexactlyasshown.InsertthethreeResistorBoards Marked100Ohms,200Ohmsand300Ohmsintothecircuitboardexactlyasshown. Figure 19: Task 1 Setup. 1.3 TurntheDMMtotheOhms(Ω)setting.UsingtheDMMProbeWires,measuretheactual resistanceofeachresistorandrecordthemeasuredvaluesintheExcelWorksheet. 19 ENGR1181Lab3:Circuits LabProcedure Task 2. Lab Measurement and Calculations using Ohm’s Law and Power Law 2.1 Usingwiresandthecorrectresistor,createacircuitaccordingtotheschematic(Figure20). 2.2 Togglepoweron. 2.3 TurnDMMdialtotheDCVsetting. 2.4 Measureandrecordthepowersupply voltage(VT)intheExcelWorksheet. 2.5 MeasureandrecordthevoltageacrossR andverifythatthetwovoltagesareequal. Figure 20: Circuit Diagram for Task 2 2.6 Ifyouhavetime,calculatethepowerandcurrent in Task2onthelabworksheet.Otherwisethesecanbecalculatedafterlab.UseOhm’slaw andthePowerlawforthecalculations. 20 ENGR1181Lab3:Circuits LabProcedure Task 3. Measure the Equivalent Resistance and Voltages of a Simple Series Circuit 3.1 Togglepoweroff. 3.2 Createacircuitaccordingtothe schematic(Figure21).Note:Liningup theresistorsiscritical. 3.3 Whilethepowerisstilloff,measure andrecordtheequivalentresistanceof thecircuit. 3.4 Togglepoweron. *****CURRENTSHOULDNEVERBE MEASUREDUSINGTHEDMM***** 3.5 MeasureandrecordV1,V2andVTotal ChecktoseeifV1+V2=VTotal Figure 21: Circuit Schematic for Task 3 3.6 Ifyouhavetime,usethemeasuredvoltages(Task3)andresistances(Task1)tocalculate allremainingvaluesontheworksheet.Otherwisecompletetheseafterlab Task 4. Measure the Equivalent Resistance and Voltages of a Simple Parallel Circuit 4.1 Togglepoweroff. 4.2 Connectthenominally‐valued200Ohmand the300Ohmresistorsonthebreadboardas showninFigure22. 4.3 Whilethepowerisstilloff,measureand recordtheequivalentresistanceofthecircuit. 4.4 CalculateandrecordReqtocheckvaluefrom4.3. UsethemeasuredvaluesofR2andR3from Task1. Figure 22: Circuit Schematic for Task 4 4.5 Askinstructionalstafftocheckyoursetup. 4.6 Togglepoweron. 4.7 UseDMMtomeasureandrecordvoltageacrosstheresistors. 4.8 Ifyouhavetimecalculateallthevaluesintheworksheet.Otherwisecompletetheseafter lab. 21 ENGR1181Lab3:Circuits LabProcedure Task 5. Series‐Parallel Circuit 5.1 Togglepoweroff. 5.2 Connectthenominally‐valued100,200and300 OhmresistorsontheBreadboardasshowninthe schematicdrawing(Figure23). 5.3 MeasureandrecordReqforthetotalresistance withtheDMM. 5.4 CalculateReq1‐2‐3.UsethemeasuredvaluesofR1, R2andR3fromTask1. 5.5 Togglepoweron. 5.6 UsetheDMMtomeasureV1,V3andVT. 5.7 Ifyouhavetimeduringlabcompletethefollowing calculations,otherwisecompleteafterlab: Figure 23: Circuit Schematic for Task 5 CalculatecurrentI1.UseOhm’slawandthemeasuredvalueofR1andV1fromprevious tasksforyourcalculation. CalculatecurrentsI2andI3byusingOhm’sLawforthetwoparallelpaths.Showyour workontheworksheet.(Hint:calculateI3usingOhmslawandthenI2=I1‐I3.) UsePowerlawtocalculateP2andP3.Showappropriatecalculations. Task 6. LED Circuit 6.1 Togglepoweroff. 6.2 Connectthenominally‐valued200Ohmresistor andtheLEDinseriestomakethecircuitshown inFigure24.Determinethecorrectorientationof theLEDusingthepositiveandnegativeleads. 6.3 Togglepoweron. 6.4 MeasureandrecordthevoltagesVRandVLED Figure 24: Circuit Schematic for Task 6 22 ENGR1181Lab3:Circuits LabProcedure 6.5 Togglepoweroff. 6.6 Removeandre‐inserttheresistorinoppositeorientation.Nowtogglepoweronandnote thevaluesofVRandVLED 6.7 DoestheLEDglowwhenthepowerison? 6.8 Togglepoweroff;RemoveandreinserttheLEDinoppositeorientation.Nowtogglepower onandnotethevaluesofVRandVLED 6.9 DoestheLEDglow? 6.10 Ifyouhavetimeduringlabcompletethefollowingcalculations,otherwisecompleteafter lab: 6.11 Calculatethecurrentthroughtheresistor(usingthemeasuredvalueofR2fromTask 1),IRandthroughtheLED,ILED(Hint:HowarethecurrentthroughtheLEDandresistor related?) CalculatethepowerdissipatedintheLED,PLED. UsethisactivityandthevaluesofVRandVLEDtoanswertheLabSpecificDirectionsinthe ReportGuidelines. 23 ENGR1181Lab3:Circuits LabProcedure Task 7. Clean‐Up Procedure Placeallmaterialsbackintheirrespectivecontainers. Caution:DONOTRemovethe+5VoltPowerandGroundwiresfromtheBreadboard DONOTRemovetheDMMProbeWiresfromtheBreadboard DONOTRemovetheSmallGoldWiresfromtheBreadboard Attheendofthelab,yourBreadboardshouldlookexactlylikethis: Task 8. Check‐Out Policy Afteryouhavefinishedthelabandtheclean‐upprocedure,haveyourinstructororGTAsignthe “End‐of‐LabSignoff”lineattheendoftherubric.Youwilllose5pointsifthisisnotsignedbyyour Instructor/TA. 24 ENGR1181Lab3:Circuits LabProcedure Report Guidelines 25 ENGR1181Lab3:Circuits LabProcedure ENGR 1181 | Circuits Lab General Guidelines Write an Executive Summary Fordetailsoncontentandformatting,seetheTechnicalCommunicationsGuideonExecutive Summaryspecifications. Lab Specific Directions InadditiontorequirementslistedintheTechnicalCommunicationsGuide,besuretobriefly addressthefollowingquestions.Answerwithinyoursummary,notwithnumbersor bullets. ForthecircuitshowninFigure25below,explainhowcantheequivalentresistance i.e.Reqbecalculated,inastepbystepapproach.Noequationsneedtobeprovided forthispart.Simplyincludethethoughtprocessinvolvedinthesimplificationsteps forcalculatingReq. Figure 25: Parallel and Series Resistor Circuit JustifywhytheLEDglowedinjustonecaseandnottheotherinTask6.Usethe recordedvaluesofVRandVLEDinthetwostepsoftask6tosupportyour justification. WhichcircuitconfigurationwouldbebetterforTheLightsCompany(seriesor parallel)asdiscussedintheIntroduction?Explainyourchoiceandwhytheother circuitconfigurationwouldnotsolvethecompany’sproblem.(Hint:Iftherewere moreLEDswhatwouldhappenifonewentoutinseries,inparallel?) Lastly,attachintheappendixthelabworksheetandsamplecalculations. 26 ENGR1181Lab3:Circuits LabProcedure 27 ENGR1181Lab3:Circuits LabProcedure 28