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Solutions Manual for Physics for Scientists & Engineers with Modern Physics, Volume 2, 5th Global Edition by Douglas C. Giancoli

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This comprehensive solutions manual provides step-by-step answers to problems from Physics for Scientists & Engineers with Modern Physics, Volume 2, 5th Global Edition by Douglas C. Giancoli. It includes detailed explanations for concepts and exercises across key chapters such as Electric Charge and Electric Field, Gauss’s Law, and more. Ideal for students, educators, and self-learners, this manual helps reinforce understanding of electromagnetism, electric fields, Coulomb’s law, Gauss’s law, and related physics principles. The solutions are clearly worked out and aligned with the textbook’s problems, making it an essential study aid for coursework and exam preparation.

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SolutionsManualForPhysicsfor S
o o o o o




cientists&EngineerswithModern
o o o oo o




Physics (Volume 2)5e (Global Edit
o o oo o




ion)By DouglasC. Giancoli
o o o o

,CHAPTER 21: Electric Charge and Electric Field
o o o o o o




Responses to Questions
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1. Suspendoaoplasticorulerobyoaothreadoandothenoruboitowithoaocloth.oAsoshownoinoFig.o21–
2a,otheoruleroisonegativelyocharged.oNowobringotheochargedocombocloseotootheoruler.oIfotheoruleroisorep
elledobyotheocomb,othenotheocomboisonegativelyocharged.oIfotheoruleroisoattractedobyotheocomb,othenoth
eocomboisopositivelyocharged.

2. Theoshirtooroblouseobecomesochargedoasoaoresultoofobeingotossedoaboutoinotheodryeroandorubbingo
againstotheodryerosidesoandootheroclothes.oWhenoyouoputoonotheochargedoobjecto(shirt),oitocauseso
chargeoseparationowithinotheomoleculesoofoyouroskino(seeoFig.o21–
9),owhichoresultsoinoattractionobetweenotheoshirtoandoyouroskin.

3. Fogoororainodropletsotendotooformoaroundoionsobecauseowateroisoaopolaromolecule,owithoaopositiveoregi
onoandoaonegativeoregion.oTheochargeocentersoonotheowateromoleculeowillobeoattractedotootheoionsooroel
ectrons,osinceooppositeochargesoattract.

4. SeeoalsooFig.o21–
9oinotheotext.oTheonegativelyochargedoelectronso
inotheopaperoareoattractedotootheopositivelyochar
gedorodoandomoveotowardso itowithinotheiromole
cules.oTheoattractionooccursobecauseotheonegati
veochargesoinotheopaperoareocloserotootheopositiv
eorodothanoareotheopositiveochargesoinotheopaper
,oandothereforeotheoattractionobetweenotheounlik
eochargesois
greaterothanotheorepulsionobetweenotheolikeocharges.

5. Aoplasticorulerothatohasobeenorubbedowithoaoclothoisocharged.oWhenobroughtonearosmallopiecesoofopape
r,oitowillocauseoseparationoofochargeo(polarization)oinotheobitsoofopaper,owhichowillocauseotheopaperotoo
beoattractedotootheoruler.oAosmalloamountoofochargeoisoableotoocreateoenoughoelectricoforceotoobeostrong
erothanogravity.o Thusotheopaperocanobeolifted.
Onoaohumidodayothisoisomoreodifficultobecauseotheowateromoleculesoinotheoairoareopolar.o Thoseopolarowa
teromoleculesowillobeoattractedotootheoruleroandotootheoseparatedochargeoonotheobitsoofopaper,opartiallyone
utralizingotheochargesoandothusoreducingotheoattraction.

6. Theonetochargeoonoaoconductoroisotheosumoofoalloofotheopositiveoandonegativeochargesoinotheoconductor.oI
foaoneutraloconductorohasoextraoelectronsoaddedotooit,othenotheonetochargeoisonegative.oIfoaoneutralocondu
ctorohasoelectronsoremovedofromoit,othenotheonetochargeoisopositive.oIfoaoneutraloconductorohasotheosame
oamountoofopositiveoandonegativeocharge,othenotheonetochargeoisozero.


Theo“freeocharges”oinoaoconductoroareoelectronsothatocanomoveoaboutofreelyowithinotheomaterialo
becauseotheyoareoonlyolooselyoboundotootheiroatoms.oTheo“freeoelectrons”oareoalsooreferredotooaso
“conductionoelectrons.”oAoconductoromayohaveoaozeroonetochargeobutostillohaveosubstantialofreeo
charges.

,Chaptero21 ElectricoChargeoandoElectricoField


7. Mostoofotheoelectronsoareostronglyoboundotoonucleioinotheometaloions.oOnlyoaofewoelectronsoperoatomo(u
suallyooneoorotwo)oareofreeotoomoveoaboutothroughoutotheometal.oTheseoareocalledotheo“conductionoele
ctrons.”oTheorestoareoboundomoreotightlyotootheonucleusoandoareonotofreeotoomove.oFurthermore,oinotheo
casesoshownoinoFigs.o21–7oando21–8,onotoalloofotheoconductionoelectronsowillomove.oInoFig.o21–
7,oelectronsowillomoveountilotheoattractiveoforceoonotheoremainingoconductionoelectronsodueotootheoinco
mingochargedorodoisobalancedobyotheorepulsiveoforceofromoelectronsothatohaveoalreadyogatheredoatotheol
eftoendoofotheoneutralorod.oInoFig.o21–
8,oconductionoelectronsowillobeorepelledobyotheoincomingorodoandowilloleaveotheostationaryorodothroug
hotheogroundoconnectionountilotheorepulsiveoforceoonotheoremainingoconductionoelectronsodueotootheoin
comingochargedorodoisobalancedobyotheoattractiveoforceofromotheonetopositiveochargeoonotheostationaryo
rod.

8. Theoelectroscopeoleavesoareoconnectedotogetheroatotheotop.oThatoconnectionocanobeo
modeledoasoaotensionoforce.oTheohorizontalocomponentoofothisotensionoforceobalanc
esotheoelectricoforceooforepulsion.oTheoverticalocomponentoofotheotensionoforceobala
ncesotheoweightoofotheoleaves.


9. Theoballoonohasobeenocharged.oTheoexcessochargeoonotheoballoonoisoableotoopolarizeotheowateromolecu
lesoinotheostreamoofowater,osimilarotooFig.o21–
9.oThisopolarizationoresultsoinoaonetoattractionoofotheowaterotowardsotheoballoon,osootheowaterostreamoc
urvesotowardsotheoballoon.

10. (a)oWhenotheoleavesoareochargedobyoinduction,onooadditionalochargeoisoaddedotootheoleaves.oIfotheoch
argedorodoisonearotheotopoofotheoelectroscopeoitorepelsochargeoontootheoleavesocausingothemotoose
parateoasoinoFig.o21–
11(a).oWhenotheorodoisoremovedotheochargeoreturnsotooitsoinitialoequilibriumopositionoandotheole
avesocomeobackotogether.
(b) Whenotheoleavesoareochargedobyoconduction,opositiveochargeoisoplacedoontootheoelectroscopeofro
motheorodocausingotheoleavesotooseparate.oWhenotheorodoisoremoved,otheochargeoremainsoonotheoel
ectroscopeoandotheoleavesoremainoseparated.o Ifonotoalloofotheoexcessochargeoleavesotheorod,otheno
whenotheorodoisoremoved,otheoleavesomightocomeobackotogetheroslightlyofromotheiromaximumode
flection.
(c) Yes.o Theoelectroscopeohasoaonegativeochargeoonotheotoposphereoandoonotheoleaves.o Thereforeotheo
electroscopeohasoaototalonetonegativeocharge,osooitomustohaveobeenochargedobyoconduction.

11. Coulomb’solawoandoNewton’solawoareoveryosimilaroinoform.oWhenoexpressedoinoSIounits,otheomagnitu
deoofotheoconstantoinoNewton’solawoisoveryosmall,owhileotheomagnitudeoofotheoconstantoinoCoulomb’sol
awoisoquiteolarge.oNewton’solawosaysotheogravitationaloforceoisoproportionalotootheoproductoofotheotwoo
masses,owhileoCoulomb’solawosaysotheoelectricaloforceoisoproportionalotootheoproductoofotheotwoocharg
es.oNewton’solawoonlyoproducesoattractiveoforces,osinceothereoisoonlyooneokindoofogravitationalomass.o
Coulomb’solawoproducesobothoattractiveoandorepulsiveoforces,osinceothereoareotwookindsoofoelectricaloc
harge.

12. TheogravitationaloforceobetweenoeverydayoobjectsoonotheosurfaceoofotheoEarthoisoextremelyosmall.
11o
(Recallotheo valueoofo G:o 6.67o10 N m2 kg .o)oConsiderotwooobjectsosittingoonotheoflooronearoeach
2o


other.oTheyoareoattractedotooeachoother,obutotheomaximumoforceoofostaticofrictionoforoeachoisomuchogrea
terothanotheogravitationaloforceoeachoexperiencesofromotheoother,oandosootheyodon’tomove.oEvenoinoanoa
bsolutelyofrictionlessoenvironment,otheoaccelerationoresultingofromotheogravitationaloforceowouldobeoso
osmallothatoitowouldonotobeonoticeableoinoaoshortotimeoframe. oWeoareoawareoofotheogravitationaloforceobe

tweenoobjectsoifoatoleastooneoofothemoisoveryomassive,oasoinotheocaseoofotheoEarthoandosatellitesoorotheoEa

, PhysicsoforoScientistso&oEngineersowithoModernoPhysics,o5e,oGlobaloEdition InstructoroSolutionsoManual

rthoandoyou.

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