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7/30/2019 Circuits - P3, week 1
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Electriccharge
Electricchargeisapropertyofma.erthatcausesthepar2clesorobjectsthatpossessittoexperienceaforcewhen
nearotherobjectsorpar2clesthatalsopossessit
Theelectricchargeisthesourceofelectricforce(canbea.rac2veorrepulsive)
Conductors:materialsthroughwhichelectronscanfloweasily Insulators:materialsthatopposethefreeflowofelectrons Electronaffinity:theamountofenergyreleasedwhenanelectronisaddedtoaneutralatomtoformanega2veion
ConductorsandInsulators
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Electriccurrent
Theflowofelectricchargethroughaconduc2ngmaterialiscalledtheelectriccurrent
Forcurrenttoflow,weneedapoten,aldifference Electronsflowfromthenega2veterminaloftheba.erytotheposi2veterminal(-to+)
Conven2onalcurrentflowstheotherwayround(+to-)
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DriJvelocity
ConductorlengthL
Cross-sec2onal
areaAe-
e-e-
e-
e-e-
Direc2onofflowofcurrent
L = vt
V= LA = vtA
Ne = nV= nvtA
Q = qNe = qnvtA
I= Qt= qnvtA
t= qnvA
Lengthoftheconductor
Volumeoftheconductor
Numberofelectronscrossing
Totalcharge
Current
TheCoulombistheunitofelectriccharge
TheAmpereistheunitofelectriccurrent I=Q
t
3
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Potentialdifference(Voltage)
Defni2on:Thepoten2aldifferenceVbetweentwopointsinacircuitistheelectricalenergyconvertedintootherformsof
energywhen1Coulombofchargepassesfromonepointto
theother
W=electricalenergydelivered=workdone Q=Chargepassed V=poten2aldifference(alsocalledvoltage) Measuredinoules/Coulomb=Volt
V=W
Q
4
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Electricalpowerande.m.f.
V=poten2aldifference I=current Q=It TotalenergyE=ItV ElectricalpowerP=energydeliveredpersecond=IV(Wa.s)
Theelectromo2veforce(emf)E=W/Qofasourceisdefinedasthe
electricalenergyproducedperunitchargeinsidethesource
Batteriesconnectedinseriesandparallel
1V1V
4V
1V
1V
1V
Inseries:
sumupemfs
Inparallel:
emfstaysthesame5
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OhmsLaw
OhmsLaw:Underconstantphysicalcondi2ons,theresistanceV/IisaconstantindependentofVorIandtheirdirec2ons
I=
V
R
V = IR R =V
I
or or
P = IV P = I2R P =
V2
Roror
R =L
A
R=resistance
L=lengthofwire
A=cross-sec2onalareaofwire
=resis2vityofthematerial Unitofresis2vity:Ohmmeter(m)
6
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ResistorsinSeries
Resistorsinanelectricalcircuitmaybearrangedisseries
Samecurrentthroughallresistors,differentpd(voltage)acrosseachresistor
Totalpoten2aldifferenceV=V1+V2+V3 Individualpoten2aldifferences,directlypropor2onaltoresistancesV1=IR1V2=IR2V3=IR3
TotalresistanceR=R1+R2+R3
R1 R R3
I
V1 V V3
V
7
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ResistorsinParallel
Resistorsinanelectricalcircuitmaybearrangedisseries
Samepdacrossallresistors,differentcurrentthrougheachresistor
TotalcurrentI=I1+I2+I3 Individualcurrent,inverselypropor2onaltoresistancesI1=V/R1I2=V/R2I3=V/R3
Totalresistance1/R=1/R1+1/R2+1/R3
R1
R
R3
V
I I
I1
I
I3
8
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InternalResistance
Powersourceshaveinternalresistances Someoftheenergyprovidedisconvertedtoheatinsidethesource
+ -
E
R
I
r
I=E
(R+ r)
E= IR+Ir
V = E Ir9
7/30/2019 Circuits - P3, week 1
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ToDo
Fromchapterreadsec2ons1,,3andfirsthalfof4(uptoKirchhoffslaws)[p444-p457electricity]
HomeworkAssignmentwk1:ques2ons22.1,22.2,22.4,22.9,22.10
Handitinnolaterthan4:00pmnextWednesday(16Jan)-LATEWORKWILLNOTBEACCEPTED
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