SP212 Lab: One Electrostatics Version: January 21, 2015 PHYSICS II LAB 2A SP212 ElectricFieldSimulations I. Introduction A. Inclass,wehavestudiedtheelectricfieldproducedbychargedobjects.In thislabwewillexperimentallyverifysomeofourtheoreticalresults,and connecttheelectricfieldtotheconceptofelectricpotential. B. Theelectricfield, E ,isavectorfield;itconsistsofadistributionofvectors, representingtheforceperunitchargethatapositivetestchargewould feelateachpointintheregionaroundachargedobject. C. Electricfieldlinesextendawayfrompositivecharges(wherethey originate)andtowardnegativecharges(wheretheyterminate.) D. Theprimarypurposeofthislabistouseelectricfieldlinestovisualizethe electricfieldproducedbyvariouschargedsources.Thisexerciseis intendedtobemoredynamicthanstaticdrawingsintextbooks,whichare limitedtojustafewspecificscenarios.Here,studentswillbeableto controlandchangemultipleparametersandseetheeffectsonthe resultingelectricfields. II. Procedure A. UsingthePhETChargesandFieldSimulationapplet,predictthe relationshipbetweenelectricfieldanddistancefromachargedobject, E(r). 1) Goto Charges and Field simulation at http://phet.colorado.edu/en/simulation/charges‐and‐fields. 2) Click Run Now!. Page 1 of 4 SP212 Lab: One Electrostatics Version: January 21, 2015 3) Oncetheappletstarts,checktheboxesnexttoShowE‐field,grid,andShow numbers. 4) Placeasinglepositivechargeroughlyinthemiddleofthegrid.Notethat computerautomaticallycalculatesandillustratestheelectricfieldgenerated bythispointcharge. 5) Takean“E‐fieldSensor”andmeasurethemagnitudeoftheelectricfieldat severalpointsawayfromthecharge.RecordyourdatainExcel,andusethem toplotE(r).Fitacurvetoyourdata.Whatcurvefitsbest?Why? B. Usingtheapplet,showtheinteractionbetweentwochargedparticles. 1) Placeachargedparticleofyourchoosingatalocationwhereitistwofullblocks fromthefarleftsidebutnearthecenterintheydirection. 2) Placeasecondchargeofthesamesignatadistanceof2metersonthehorizontal. 3) Observetheelectricfieldlines. 4) Predictwhattheelectricfieldvaluewouldbeatthe1meterpointmidway betweenthetwochargesthenplaceanE‐fieldsensorthereandseeifthe measuredvaluematchesyourprediction.Didtheresultsmatchyourprediction? Ifnotresolvethereasonwhywithyourlabpartnerorifnecessary,theinstructor. Whatdoesthissayaboutuncertaintyinthemeasuredvalue? 5) Nowpredictwhattheelectricfieldmagnitudeanddirectionwouldbeataposition 1meterverticallyabovethecenterofthetwoparticles.Showallworkincluding thevectordiagram. 6) ThenplaceanE‐fieldsensorthereandseeifthemeasuredvaluematchesyour prediction.Didtheresultsmatchyourprediction?Ifnotresolvethereasonwhy withyourlabpartnerorifnecessary,theinstructor. 7) Whenyoufeelyouunderstandandarereadytomoveon,clicktheClearAllbutton. 8) Removethefieldsensorandreplacetherighthandchargewithachargeofthe oppositepolarity. 9) Ongraphpapertohelpwithscale,drawtheelectricfielddiagramthatyousee. Insteadofusingintensity,usearrowlengthstorepresentthemagnitudeofthe field.UseE‐fieldsensorstohelpdeterminethelengthofyourvectors. 10) Predictwhattheelectricfieldvaluewouldbemidwaybetweenthetwocharges. PlaceanE‐fieldsensorthereandseeifthemeasuredvaluematchesyour prediction.Didtheresultsmatchyourprediction?Ifnotresolvethereasonwhy withyourlabpartnerorifnecessary,theinstructor.Whydoesthisvalueno longerequalzero?Isthisvaluethemaximumorminimumvalueoftheelectric fieldbetweenthetwoparticles? Page 2 of 4 SP212 Lab: One Electrostatics Version: January 21, 2015 11) Whenyouhavecompletedansweringtheabovequestions,removeallE‐field sensors. C. Electricfieldstrengthversusdistancerelationshipforadipole: 1) Nowbringyourtwooppositechargesveryclosetogether.Youhavecreateda dipole.Moveyourdipoletooneextremesideofyourgraph.Note,youcanget betterresultsifyoustackmultiplepositivechargesontopofoneanother,andan equalnumberofnegativechargesontopofeachother. 2) MoveanE‐fieldsensortomeasuretheelectricfieldvalueatvariouslocations horizontallytotherightbetween0.5metersandupto4metersawayfromthe centerofthedipole.Recordthepositionandtheelectricfieldvalueforeach position.Itisbesttogetatleast5values. 3) EnterthevaluesintoExcel(orequivalentprogram),createagraphofE(r),and determinethebestfitcurve. 4) Doesthisbestfitequationmatchtheoryinproportionality?Ifnot,whatare possiblereasonswhy? 5) Whenyoufeelyouunderstandandarereadytomoveon,clicktheClearAll button. D. ElectricFieldStrengthvs.distancerelationshipforalonglineofcharge: 1) Alongoneedgeofthegraph,createalonglineofcharges,allthesamesign.You needtousealotofcharges,probably30‐40. 2) UseanE‐fieldsensortomeasurethestrengthoftheelectricfieldasafunctionof distancefromthecenteroftheline.YoushouldbemovingyourEsensoraway fromtheline,notalongtheline. 3) AgainuseExceltodiscoverafunctionforE(r). E. Discussionpoints: 1) Whatdidyoulearnabouttheelectricfieldversusdistancerelationshipsfora pointcharge,averylonglineofcharge,andforadipole? F. (Timepermitting)UsingthePhETElectricFieldHockeySimulationapplet usingelectricfieldtheorytomoveachargedparticleintoaspecificgoal location. 1) StartingtheAppletandsetup. 2) GotoChargesandFieldsimulationat http://phet.colorado.edu/en/simulation/electric‐hockey. 3) ClickRunNow!(ItmighttakesometimetoloadevenaftertheJavasymbolleaves thescreen,bepatient.) Page 3 of 4 SP212 Lab: One Electrostatics Version: January 21, 2015 4) ChecktheTraceandFieldboxes,andpractice.Moveachargedparticlefromitsbin toanywhereonthescreen.Thenhitstartandseewhathappens.Feelfreeto experiment.Onceyouthinkyouunderstandthepremiseandarereadyfora challengethenselectdifficulty1. 5) Yourobjectiveistocauseyourpositivelychargedpucktogetintothegoalby placingadditionalparticlesofeitherpositiveornegativechargeontotheplaying fieldatstrategiclocations.Youshouldstrivetodothisusinglessthan12charged particles,andultimatelyuseasfewaspossible. 6) Onceyouachieveagoal,drawonapieceofgraphpaperyourwinningsolution. 7) (Evenmoretimepermitting)Attempttoachieveanothergoalwithevenfewer charges. III. Clean‐Up A. GoldenRule:“Dountoothersasyouexpectthemtodountoyou.” ThisappliesasmuchhereinthelabasitdoesintheFleet.AsfutureNavalOfficers, howcanyouexpectyourenlistedsailorstomaintainacleanworkareaifyour stateroom,workareas,messarea,etcisa“pigsty?”Soasofficersitisimperativethat wecleanupafterourselvesnotonlytofollowtheGoldenRule,butalsotoleadby examplefortheenlistedpersonnelunderourcharge. 1. EndofLabCheckout:Beforeleavingthelaboratory,tidyuptheequipmentatthe workstationandquitallrunningsoftware. 2. Thelabstationshouldbeinbetterconditionthanwhenyouarrivedandmore importantly,shouldbeofanappearancethatyouwouldbePROUDtoshowto yourlegalguardiansduringa“ParentsWeekend.” 3. Haveyourinstructorinspectyourlabstationandreceivetheirpermissionto leavetheLabRoom. 4. YouSHALLfollowthisprocedureduringeverylabforSP212! Many thanks to Dr. Katz, LCDRs Grant Miller, Tim Barry, Dave Riebel , and Mr. Gary Bishop for their assistance in producing this Laboratory procedure; specific references can be supplied on request. LCDR Timothy Shivok Page 4 of 4