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    Dr. Nirmalya GhoshElectrical Engineering, IIT Kharagpur

    Figures Courtesy:"Electronic Instrumentation and Measurements 3rd

    Edition" book by a!id # $ell

    Measurement and ElectronicInstruments (EE 21004)

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    2

    Electrical Bridge ircuits

    Measurement o! "esistance# Inductance# and

    a$acitance

    Measurement and Electronic Instruments(EE 21004)

    2

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    %

    "esistance Measurement&oltmeter and 'mmeter

    Methodso connectionsase 1* &oltmeter across

    load

    Error in current measurement'$$lica+le* " ,, " &

    ase 2* 'mmeter in seriesith load

    Error in -oltage measurement'$$lica+le* " " '

    /u+stitution Method

    Measurement and Electronic Instruments(EE 21004)

    %

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    4

    Bridge ircuits* BasicsNull detection method't +alanced condition

    or resistance measurement/u$$ly and detector* dcMagnitudes are only +alanced

    or inductance andca$acitance measurement/u$$ly and detector* acMagnitude and $hase +oth

    +alanced

    3241 ZZZZVV ba ==

    Measurement and Electronic Instruments(EE 21004)

    4

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    heatstone Bridge* !orresistanceGal-anometer initially shunted

    ith a lo resistance't +alance#Bridge 'ccuracy*

    3error o! "* sum 3 errors o! (/# #5).

    /ensiti-ity o! G.Bridge recision *

    Bridge sensiti-ity de$ends on*/u$$ly -oltage* EGal-anometer resistance* rGurrent sensiti-ity o! Gal-anometer

    '$$lica+le* 6 to 10126

    Q

    PSR=

    Q

    PSR =

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    7

    Bridge /ensiti-ity

    he-enin e8ui-alent circuitat G terminals

    9" that $roduces smallest9IG to shi!t G $ointer +y 1 mmon scale (sensiti-ity o! G)

    G

    SR

    G

    BSR

    rr

    VV

    I

    SQRPr

    QS

    S

    PR

    REVV

    +

    =

    +=

    +

    +=

    ||||

    Measurement and Electronic Instruments(EE 21004)

    7

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    :

    heatstone Bridge* limits;o resistance measurement

    onnecting lead resistances4igh resistance measurementInsulation resistances&oltmeterigh -oltage D su$$ly&oltmeter across su$$ly (" "&)

    Modi?ed heatstone Bridgeo se$arate out -olume current

    and sur!ace currentGuard ires# guard rings

    Measurement and Electronic Instruments(EE 21004):

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    @

    =el-in Bridge* lo resistance;ead resistance A is remo-ed

    i!

    E8uate -oltages o! across G

    '$$lica+ility* 10 6 to 1 6hermo

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    heatstone Bridge !or high "Insulations

    Guard ire# guard rings/ur!ace resistances* +# cModi?ed heatstone

    +ridgea+le !ault detection

    Measurement and Electronic Instruments(EE 21004)

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    10

    Inductora$acitor* Basics

    Measurement and Electronic Instruments(EE 21004)10

    E

    V

    E

    VQ

    CRR

    L

    Q

    R

    EIVV

    CL

    CL

    ==

    ==

    ==

    1

    and

    :resonanceAt

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    11

    ' Bridge* BalancingBoth magnitude and

    $hase to +e +alancedo (or more) elements

    are adFusted in turn anditerati-ely

    Bridge sensiti-ityDe?ned and com$uted

    similarly# +ut ithim$edances

    De$ends on* E and9IG

    Measurement and Electronic Instruments(EE 21004)11

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    12

    /eries " Bridges/im$le a$acitance Bridge

    De /auty +ridge

    /eries

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    14

    /chering Bridge' series " +ridge

    /tandard lo D airmica 1o +alance# adFusta+le %

    '$$lica+le*

    /mall Hat lo E>igh & ca$acitance

    Guard ring to isolate leaCagecurrent

    Grounded screens* eliminate

    stray Insulationdielectric material/u+stitution method

    33

    4

    31

    1

    34

    RCRCD

    R

    RCC

    C

    CRR

    XX

    XX

    ==

    ==

    )1()2( SSX CCC =

    Measurement and Electronic Instruments(EE 21004)14

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    1

    ien Bridge

    om+ination o! seriesal! Immeans IDislarge

    Diode +iased +eyondCneein linear &

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    4

    >al!

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    0

    ull

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    1

    Electrodynamometer*constructionermanent magnet is

    su+stituted +ystationary ?eld coils/ame or diQerent currents

    in mo-ing and stationarycoils

    Interaction +eteenmagnetic ?elds

    'ir dam$ing* Mo-ing-ane

    'ir

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    2

    Electrodynamometer*$eration

    Magnetic ?eld $roduced +y current So* re$ulsi-e eQectluH direction* rightmeters.Measurement and Electronic Instruments (EE

    21004)

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    %

    Electrodynamic -oltmeter Kammeter &oltmeter

    Need high resistance*'ll coils in series>igher /D current than in MM;oer coil resistance* ;oading eQect.

    Multi$lier resistance'mmeter

    ield coil current is measured Ihermal eQect not im$ortant

    /hunt and /am$ing resistorhermal eQect im$ortant as in MM

    DeSection tor8ue

    Energy ()* 0. I!2;!P 0. Im2;mP I!ImMDJ I! ImdMd(theta) * heta J

    deSection (in radians)Nonlinear scale

    Measurement and Electronic Instruments (EE

    21004)

    i ( )

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    4

    Mo-ing Iron (MI) Meters*construction

    'ttraction ty$e

    "e$ulsion ty$e

    oncentric

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    MI instruments* or8ue# ros#ons

    J 0. I2;DJ 0. I2d;d(theta) * heta J deSection (in radians)'d-antage

    erminal non

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    Electrodynamic attmeterield (current) coils

    single coil sym+olMo-ing (-oltage) coil

    Multi$lier resistor to restrictcurrent

    "e-ersed $olarity* still $ositi-e

    rans!er instrumentali+rated in D* J & I (in atts)In '* actual J &rms Irmscos X

    Measurement and Electronic Instruments (EE

    21004)

    E

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    attmeter* Errors#com$ensation

    Burdens o! the coilsom$ensated attmeter

    ield coil* hicC co$$er ireom$ensating coil* hin# re-erseold

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    rigger le-el control andBlanCing

    rigger control'dFusted +y "

    a-e!orm cancommence atany le-el

    BlanCingly

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    Dual trace "

    Multi$le signals com$aredo sets o! -ertical deSection systemsb one

    set !or horiontal

    Measurement and Electronic Instruments (EE

    21004)@

    DeSection system in dual trace

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    DeSection system in dual trace" Dual

    +eam/$lit

    +eam

    Measurement and Electronic Instruments (EE

    21004)@7

    /itched hannel Method

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    /itched hannel Method

    /ingle

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    $ ymode Both signal

    ith same

    $eriod D shi!t addedintentionally

    'lternatelyand re$eatedlydis$layed

    >igh sitching!re8uency*dis$lays seem

    simultaneous.EHce$t at lo

    !re8uency

    Measurement and Electronic Instruments (EE21004)@@

    Dual trace dis$lay in ho$

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    Dual trace dis$lay in ho$mode 'lternate dis$lay

    time slots'$$ear

    simultaneous!or lo and mid

    !re8uency

    Measurement and Electronic Instruments (EE21004)@

    scillosco$e controls

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    scillosco$e controls

    /ingle +eam dual trace analog oscillosco$erigger

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    " +ased measurements

    eaC

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    ulse measurements

    ulse am$litude# $ulse idth# s$ace idth

    "ise

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    scillosco$e ro+esy$ically " in$ut

    im$edance* (i# "i) J1M6 %0 $

    't normally o$erating!re8uencies*a$acitor reactance

    -ery high&i J &s "i ("i P "s)

    o a-oid signi?cantattenuation or $haseshi!t# signal!re8uency , (%dBcut

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    'ttenuator $ro+es

    Generally 10*1 $ro+es ith "1 J M6/cre

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    ro+e cali+ration

    E-ery $ro+e to adFusted hen ?rst use in a$articular "ront $anel control'cti-e $ro+es

    E -oltage !olloers* Electronic am$li?ers toincrease $ro+e in$ut resistance and minimiein$ut ca$acitance.

    Measurement and Electronic Instruments (EE21004)

    Dis$lay o! de-ice

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    Dis$lay o! de-icecharacteristics

    'B

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    A Dis$lays# L Dis$lays

    ;issaFou ?gures ne signal

    /ame !re8uency# diQerent $hase DiQerent !re8uencies (ith ratio J rationalnum+er)

    L

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    scillosco$e s$eci?cations/ensiti-ities

    >oriontal-ertical2m&di- V 10&di-0. sdi- V 200 nsdi-

    ro+e ratio (1*1# 10*1)ime

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    $ $

    re8uency res$onse* 2 > V 100 M>'ttenuation !or in$ut circuit (am$li?ers)# $ro+e and oscillosco$eDeSection am$li?er cutoQs/ignal !re8uency* 10 !lo 'ND , !hi10hen i$ and o$ +oth dis$layed# " attenuations and $hase