Meters - P3, week 3

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    ResistorColourCodes

    1

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    Meters

    Movingcoilmetersmusttakeacurrenttogiveanon-zeroreading

    (a)Ammetermeasurescurrent (b)Voltmetermeasuresvoltage

    A V

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    Ammetershuntresistance

    FortheAmmeter,theshuntresistanceisgivenby

    where

    iisthefullscaledeflec4oncurrent Iisthecurrentthroughthecircuit R

    cistheresistanceofthemetercoil

    Rsh=

    iRC

    (I i)

    3

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    Voltmetermultiplierresistance

    FortheVoltmeter,themulplierresistanceisgivenby

    where

    iisthefullscaledeflec4oncurrent Visthevoltage R

    Cistheresistanceofthemetercoil

    Rs=

    V

    i R

    c

    4

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    Potentiometer

    Apotenometerisusedtomeasuree.m.fsandp.d.s

    Consistsofresistor(s)andavoltmeter V

    BC=kLwherek=constant

    TodetermineEtestmeasurelengthofwirewhenvoltmetershowsnodeflecon(0reading)

    +-

    A

    B

    CE

    L V

    +-

    A

    B

    CE

    V+- Etest

    +-

    A

    B

    C

    E

    V+- Etest

    II

    5

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    Measuringthee.m.fofa

    batterywithavoltmeter

    VoltmeterhasresistanceR Powercellhasinternalresistancer Currentthroughcircuit:I=(e.m.f.)/(R+r)=E/(R+r) P.dacrossvoltmeter:V=IR=ER/(R+r) Measuredvalueforthevoltagealwayslessthanthee.m.fofthecell

    + -BaWery

    r

    V

    6

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    ConvertingAmmeters

    AGalvanometerisatypeofsensiveAmmeter Analogdevicesthatcanmeasurelowcurrents Noshuntresistor Defleconofthepointercomesasaresponsetocurrentflowingthroughthecoil(RC)inamagnecfield

    Toconvertagalvanometerintoanammeter,connectashuntresistorinparalleltothegalvanometer

    Thevalueoftheshuntresistanceconnectedwilldetermineyournewrangeofdeflecon AlowershuntresistorwillallowmoreofthecurrentthroughthatcomponentofthecircuitsolesscurrentwillpassthroughtheRc

    oftheGalvanometer,therebyincreasingitsrange7

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    ConvertingAmmeters

    GalvanometerscanalsobeconvertedintoVoltmetersbyaddingalarge(mulplier)resistanceinserieswiththe

    galvanometer

    TheintroduconofthemulplierresistorintothecircuitINCREASEDthepotenaldifferencebetweenAandBbecause

    thepotenaldropswhencurrentflowsthrougharesistor

    GI

    Vfsd=IRcRcG

    IRcRs

    A B

    8

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    Measuringthee.m.fofa

    batterywithapotentiometer

    ewanttomeasureEtest Connectacellofknowne.m.fandfindthebalancepoint

    Recordthebalancelength Getk(thep.d.perunitlength)

    FlicktheswitchandmeasurethenewbalancelengthLBD

    kisknownsosolveforEtest

    Etest=kLBD=(Estand/LBC)LBD

    +

    -

    A

    B

    CEdriver

    +

    -

    Etest+

    -

    Estand

    switchV

    LBC

    +

    -

    A

    B

    DEdriver

    +

    -

    Etest+

    -

    Estand

    switchV

    LBD 9

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    Measuringinternalresistance

    Tomeasuretheinternalresistancerofthetestcell(Etest)

    useasimilararrangement

    GetEtestwiththepreviousmethod Replacethestandardcellbyaknownresistance

    Completethecircuitandmeasurenewbalancelength

    ithRconnectedVacrossthetestcell=kLBK=(EtestR)/(R+r)

    +

    -

    A

    B

    KEdriver

    +

    -

    Etest

    switchV

    LBK Rr

    kLBK

    =

    kLBDR

    R+ r

    r = R(L

    BDL

    BK)

    LBK

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    ToDo

    Fromchapter22readsecon22.5 Fromchapter23readsecons23.1,23.2 HomeworkAssignmentwk3:quesons23.1,23.3,23.4,23.5,23.6

    Handitinnolaterthan:00pmnextWednesday-LATEWORKWILLNOTBEACCEPTED

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