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

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    Potentialdifference(Voltage)

    Defni2on:Thepoten2aldifferenceVbetweentwopointsinacircuitistheelectricalenergyconvertedintootherformsof

    energywhen1Coulombofchargepassesfromonepointto

    theother

    W=electricalenergydelivered=workdone Q=Chargepassed V=poten2aldifference(alsocalledvoltage) Measuredinoules/Coulomb=Volt

    V=W

    Q

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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)

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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

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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

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    InternalResistance

    Powersourceshaveinternalresistances Someoftheenergyprovidedisconvertedtoheatinsidethesource

    + -

    E

    R

    I

    r

    I=E

    (R+ r)

    E= IR+Ir

    V = E Ir9

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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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