Elektronik II - Erzurum Atatürk Üniversitesi Elektronik Devreler Ders Notları

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    1

    N@ND]UKCDMNXUN@NU

    MNU\ CK]@AUF

    Daycad`ar2

    1- Amn` \. \nmra, Dnccntg L. \iftg, "Iflrkn`nltrkcfl Lfrlufts", =tg nm., Kxhkrm ^cfvnrsfty Zrnss,

    166?.

    5- I. \aft ]rdz, "N`ndtrkcfd", Efrsnc Vaycnvf, 5::=.

    - Inrsfc cfvnrsftnsf Ins`nd Vdsndkdu`u O Daycad`ar mnrs ckt`ar.

    Mk. Mr. E`nct ADIAD

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    5

    Mnrs fnrff2

    F.VD\N@]N@NUC HUNDAC\ LNXAEF

    Mnsfen` davrai

    Vdsn`tn`nrfc hrndacs-dazac nrf`nrf (Ekmn mfyaorai`ar)

    Vdsn`tn`nrfc a`ad vn ydsnd hrndacs lnvae

    kd dat` ydsn`tn`nrmn hrndacs lnvae

    FF. UNO@A]U@NU XN O DAVCAD@AUF

    Rncnr mfykt vn tracsfstr f`n rno`asykc

    Onrf`fi rno`asykc`u o dayca

    FL onrf`fi rno`atr`nrf

    Acagtar`aia` (\wftlg-ikmn) o daycad`ar

    FFF. AD]H H@]UN@NU (AL]FXN HF@]NU\)

    Zasfh vn adtfh hf`trn`nr

    dfclf mnrnlnmnc a`ad vn ydsnd onfrnc hf`trn`nr

    Eacm onfrnc vn eacm murmurac adtfh hf`trn`nr

    FX. ONU@I DKC]UK@@ K\@A]U@NU XN HAR D@]@NIN@ NXUI

    Kp-Aip` onrf`fi dkctrk`` ksf`atr`nr (darn vn onc ma`oa rntn`nr)

    >88 hkcdsfykc rntnlf

    Haz df`ft`nin`f nvrfi (Zgasn @kldnm @kkp-Z@@) vn uyou`aia`ar

    X.ONU-EN\@NIN@ (HNNM-EALD) VD\N@]N@NU

    Onrf-ens`nin davrai`ar

    Onrf-ens`nin ea`act tr`nrf

    Zratfd onrf-ens`nin mnvrn`nrf

    XF. VD\N@]N@NUMN K\@A\VKC DAXUAIF

    UL ksf`atr`nr

    _fnc dpr ksf`atr`nr

    Lk`pfts vn Gart`ny ksf`atr`nr

    Drfsta``f ksf`atr`nr

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    : _ uyou`amizma dcmac 5>: _ o a`rsaddazacliz2

    Oafc (mE) 91:.`ko(5>:/>:) 91:.`ko> 9 1:.:,867 9? mE dazac k`ur.

    rcnd 2 aynt efr hf`trncfc ofrffcn >: _ uyou`amizma dcmac => _ o a`ykrsaddayeiz2

    Oafc ( mE ) 91:x`ko(=>/>:) 9 1:.`ko(:,6) 9 1:.(:,:=>) 9 -:.=> mE dayp k`ur.

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    =

    \kcu k`arad dc ofrfn k`ac kraccma dac mnsfen` mnnrf pkzftfh fsn dazac varmr. \kcucnoatfh k`muucma fsn dayp varmr mncf`fr. Dazac efrfif k`arad mnsfen` aip`fhfdatr`nrmn vnhf`trn`nrmn du``ac`m ofef n`ndtrkcfd or`t `i`nrfcmn, sns fmmntfcmn, fdf ayr sfcya`fc

    fza`ksykc `i`nrfcmn vs. du``ac`r. Ac`a`ala ofef eu mnnr iut`ad efr `i mnnrf mnf``koarftifd kracsa` efr `mr.

    rcnd2Efr aip`fhfdatrc ofrffcn uyou`acac o, dtac = dat duvvnt`ncmfrf`if k`arad n`mnnmf`frsn dazacliz cn k`ur;

    Oafc ( mE ) 91:x`ko (Zd/Zofrf) 91:x`ko = 91:.:,8 9 8 mE dazac k`ur.

    rcnd2Znpnn < ayr aip`fhfdatr f`n efr aip`fhfdasykc yap`ykrsa tkp`ai dazac cn k`ur;

    a dat e dat l dat

    ]kp`ai dazacl eu`iad ffc gnr datc d`ar mE lfcsfcmnc tkp`acr. Eu arama gnr efr datc en``f efrdazac`ar k`muucu harz nmnrsnd,

    rcnfc2 a 9 5 mE, e9 7 mE vn l9 = mE

    ]kp`ai dazac9 a+e+l 9 5+7+= 9 1= mE k`ur

    rcnd2Efr hf`trncfc ofrffcn =: _ o uyou`acmcma hf`trncfc fcsnrtfkc `kssu (araya ofrin daye)1 mE fsn hf`trn dcmac da watt n`mn nmf`fr ;

    rcnd2 Efr aip`fhfdatr d spnltrui aca`fzr f`n ``ind fstncfykr. Aca`fzrc ofrffcniax.1:: i_ isaamn nmf`f`fykr. Aip. d ol91: _. Eu aip`fhfdatr `ind ffc arayaifcfiui da mnsfen` efr zayh`atia dkyiaiz onrndfykr;

    ZofrfZd

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    >

    mEi davrai2

    mEi tn`ndkicfdasykc sfstni`nrfcmn, ramyk hrndacs dat`arcma du``ac`ac efr snvfyn ` efrfifmfr.(+) vn ( - ) snvfyn`nr f`n fhamn nmf`fr. 1 if`fwata krac`aci mnsfen` (mEi) if`fwatt lfcsfcmnc efrolc kcma`d `koarftiascc 1: datmr.

    Hkri`mnc ac`a`ala ofef (mEi) iut`ad efr o fhamnsf k`up krac mnf`mfr. (mE) dazac vn dayefhamn nttff ga`mn (mEi) mznyf, snvfynyf fhamn nmnr.

    rcnd 21:: _`d efr vnrflf d da mEi nmnr ;mEi 9 1:.`ko ZmEi 9 1:.`ko 1::::: 9 1:.> 9 >: mEi

    rcnd 2=: mEi da watt nmnr ;mEi 9 1:.`ko Z

    =: 9 1:.`koZ= 9 `koZ (= actf`ko 9 1:::: )

    9 1:::: i_att9 1: _att

    rcnd2Efr ^GH ikm`atrc d -15 mEi mfr. Eu ikm`atrc dca 5: mE duvnt`ncmfrflfdkcu`muucma d ol cn k`ur ;

    d ol 9 ikm`atr d + aip`.oafc9 -15 +5:9 +7 mEi

    7 mEi 9 1:*`koZ(i_):.7 9 `koZ ( :7. Actf`ko 9 8.< )

    9 8.< i_att.

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    8

    Onrf`fi Dazacl 2

    Euraya damar o dazacl vn o dayec fcln`nmfd. Ayrla AL mnvrn`nrmn (sns hrndacs vs.) onrf`fi

    dazacl vn daye sz dkcusumur. Efr mnvrncfc d onrf`fifcfc ofrf onrf`fin kraccc 1: taeacccaorn `koarftiascc 5: f`n arpi onrf`fi dazacl vn dayec en`fr`nr.

    d mfrnclfcfc ofrf mfrnclfcn nft k`ias muruiucma2

    vnya mfnr efr mnyf`n4

    o

    o

    fo

    f

    o

    v

    X

    X

    X

    X

    UX

    UX

    Z

    ZO `ko5:`ko1:

    /

    /`ko1:`ko1:

    5

    5

    5

    rcnd2Efr lfgazc ofrf ol 1::: Xma 1: d_mr. d ol fsn, d nipnmacs 5: fdnc >:: _tr.Euca orn4

    a) mE lfcsfcmnc o dazaclc eu`ucuz.e) mE lfcsfcmnc onrf`fi dazaclc eu`ucuz

    l)

    (a) vn (e) ddcmadf skcu`arc cnmnc uyuup uyuiamc eu`ucuz.

    zi2

    a)OmE91:.`ko(Z/Zo)91:`ko(>::/1::::) 9 -1::`ko5:`ko5:`ko5:

    l)Uf9Xo5/Zo9 1:

    8/1:=9 1::

    Or`m ofef ofrf mfrnclf 1:: k`up 5: `ud d mfrnclfcmnc hard`mr. Eu cnmnc`n a) vn e)ddcmadf skcu`ar uyuiaiadtamr.

    MNX2=: _ d` efr ydsn`tn 1: `ud efr gkpar`rn ea`acitr.a) O dazacl 5> mE fsn tai o sa`aiad ffc onrndnc ofrf olc eu`ucuz.e)Vdsn`tnlfc onrf`fi dazacl =: mE fsn ckifca` d ffc ofrf onrf`fifcf gnsap`aycz.

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    ?

    1.5 Vdsn`tn`nrfc Hrndacs Lnvae

    Aca`ko n`ndtrkcfd mnrsfcmn ydsn`tn`nrfc krta hrndacs eacm lfvarcmadf a`ia`ar fcln`nciftf.Eu hrndacs eacmcma dup`ab vn dpr`nin dkcmacsatr`nrf AL a`iama dsa mnvrn nmf`iftf. tnyacmac, md hrndacs`arma eu dapasftr`nrfc rnadtacscma inymaca on`nc mnfin cnmncfy`n artddsa mnvrn yad`ai du``ac`aiaz. Vdsnd hrndacs`arma fsn adtfh n`niaca (tracsfstrn) vn mnvrnynea` daad dapasftfh ntdf`nr sfstnifc ydsnd hrndacs tnpdfsfcf scr`ayaladtr. Armd (dasdat) ea`efr sfstnifc dat sayscmadf art gni a`ad gni mn ydsnd hrndacs tnpdfsfcf scr`ayaladtr.

    UL dup`ab`, mkrumac-dup`ab` vn tracshkriatr-dup`ab` efr ydsn`tnlfc onc`fd dazac nrf`nrf, mfnrefr mnyf`n Ekmn nrf`nrf, ndf` 1.1mn vnrf`indtnmfr. Vatay ndsnc, a`ad hrndacs e`on`nrfcmncydsnd hrndacs e`on`nrfcn uzacac efr orahfd fznef`ind ffc `koarftifd `ndtn vnrf`indtnmfr.

    ndf` 1.1Vdsn`tnlfc hrndacs dazac nrf`nrf (Ekmn nrf`nrf)4 a)UL dup`ab`, e)tracshkriatrdup`ab`, l)Mkrumac dup`ab`.

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    UL dup`ab` efr ydsn`tntn md hrndacs`armadf mc cnmncf, LL, L\ vnya LNcfc artacrnadtacsmr. UL dup`ab` mnvrncfc ydsnd hrndacs scr fsn tracsfstrc parazftfd dapasftfh ntdf`nrff`n en`fr`ncfr.

    ]racshkriatr dup`ab` mnvrnmnfsn md hrndacs`arma k`uac hrndacs tnpdfsf, ncmdtfh rnadtacsc(W@95h@) dsa mnvrn ntdfsfcmnc daycad`aciadtamr. Vdsnd hnradacs tnpdfsf fsn, prfinr vnsndkcmnr saro`ar arascmadf daad dapasftacs tarahcmac k`uturu`iadtamr.

    Mkrumac dup`ab` ydsn`tntn, gnrgacof efr dkcmacsatr n`niac k`iam ffc md hrndacs`armamn cnmnc k`aef`nlnd efr ntdf mn szdkcusu k`iayaladtr. Vdsnd hrndacs`arma fsn tracsfstrcparazftfd dapasftacs ntdf`nrf efr mn cnmnc k`iadtamr.

    ndf` 1.1mndf mnvrnmn cfspntnc ydsnd k`ac dazaclc hrndacs scr`arc saeft`ntfrind ffc dazacdnsfi snvfynsf k`arad :.?:?*Akrta snf`iftfr. Euc`ara dar`d on`nc h1vn h5 hrndacs`ar fsn dnsfi

    (lut-khh) hrndacs`ar k`arad am`acmr`r. :.?:? arpaccc snf`in cnmncf, eu snvfynmn d olcc,krta eacm o dcc yars damar k`iasmr. y`n df,

    :

    5

    :

    5:

    :U

    XA

    U

    XZ

    fXkrta

    krta

    Vari-o hrndacscma (Ga`h-Zkwnr Hrnquncly / GZH)2

    krta

    fXkrtafXkrta

    GZH ZU

    XA

    U

    XA

    Z ::

    5

    :

    5

    : >.:>.:

    ?:?.:

    \fstni`nrfc eacm oncf`ff h1 vn h5hrndacs`ar f`n en`fr`ncfr. Euca orn4

    Eacm oncf`ff (E_) 9 h5-h1

    Gaenr`nin a`accmadf uyou`aia`arma dazaclc hrndacsa orn mnsfen` k`arad orahff magadu``ac`mr. Ckria`fzn nmf`if dazac nrfsf, mncd`ni 1mn ostnrf`mff ofef hkri`zn nmf`if vnndf` 1.5mndf ofef ostnrf`iftfr.

    Xkrta

    X

    mEXkrta

    X

    AA

    AA

    1:`ko5: .................................. mncd`ni (1)

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    ndf` 1.5Ckria`fzn nmf`if dazac (Ekmn) nrfsf

    Krta eacm hrndacs`arcma :)1(`ko5: 1: vn dnsfi hrndacs`arcma

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    1:

    (a) (e) (l)

    ndf` 1.= (a)]nin` UL mnvrnsf, (e)kd ydsnd hrndacs`arma yad`ad nmnnr, (l)kd mdhrndacs`arma yad`ad nmnnr.

    Dazac, Av9X:/Xf krac ndf` 1.>mndf ofef k`aladtr.

    ndf` 1.>UL mnvrnsfcfc dazac nrfsf.

    d vn ofrf onrf`fi`nrf arascma u ndf`mn efr f`fdf varmr2

    55:

    LL

    f

    WU

    UXf

    WU

    UXX

    Wl9U k`muu zaiac2

    ?:?.:5

    1

    5

    1 :: fXf X

    X

    AXX

    Mfnr efr mnyf`n, Wl9Uyf sa`ayac hrndacsta d, ndf` 1.>mnostnrf`mff ofef ofrffc %?:.?sfk`aladtr.

    ULh

    LhUWL

    5

    1

    5

    11

    1

    h1hrndacs EB] tracsfstrcmn a`ad dnsfi hrndacsc ostnrindtnmfr.

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    Nnr dazac mncd`nif aamadf ofef yaz`rsa2

    hLUbUWbbWU UXXA fX

    5/11 1)/1 1:

    hhbAX

    /1

    1

    1

    Onc`fd vn haz tnrfi`nrfy`n4

    hh

    hhXXA

    fX /tac

    /1

    11

    1

    5

    1

    :

    Avcfc onc`ff X:f`n Xfarascmadf haz as

    h9h1k`muu zaiac4

    mEAX

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    Vudarma vnrf`nc mnnr`nrf du``acarad mE lfcsfcmnc dazac-hrndacs nrfsf ndf` 1.8madf fzf`nef`fr.

    ndf` 1.8mE lfcsfcmnc dazac-hrndacs (Ekmn) nrfsf (-5:`koh1/h nft`ffcmnc n`mn nmf`iftfr)

    @koarftifd `ndtn fzf`mff zaiac nrfcfc mz efr fzof nd`fcmn dt or`indtnmfr. Eu mzfzof`f para`ar asfiptkt`ar k`arad am`acmr`r. Eucuc`a efr`fdtn h9h1k`muu zaiac dazacta < mE`fd

    efr m k`muu maga cln sy`nciftf. Ey`nln, orahfdtn ostnrf`mff ofef dnsfd`f fzof f`nostnrf`nc onrnd hrndacs nrfsf n`mn nmf`fr.

    Eu tfp nrf`nr, Ekmn nrfsf k`arad am`acmr`r vn Ekmn nrfsf efr ydsn`tnlfc hrndacs lnvaecostnrfr. Orahfdtnc, hrndacsta 1 kdtav`d (5 dat maga az) mnfincfc dazacta 8 mE`fd efr mnfinyncnmnc k`muu or`indtnmfr. Hrndacsta 1: dat`d (mndam) efr aza`ia fsn dazacta 5: mE`fd efrmn cnmnc k`iadtamr.

    h1/1:

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    L\, LL vn LN dkcmacsatr`nrfcfc en`fr`nmfd`nrf dnsfi hrndacs`arcc a`ad hrndacs`ar ffc k`muuucutu`iaia`mr. Krta hrndacs eacmcma eu dkcmacsatr`nrfc al nmnnr mnvrn eu`ucurdnc dsamnvrn nmf`mff ucutu`iaia`mr.

    UCND2

    RI2

    ]gnvncfc nmnnrfcmnc mi ckdtascmadf onrf`fi2

    XUU

    XUX LLE =

    >:

    5::

    51

    5

    Euramac4

    iAU

    XF

    N

    NN 8>.1

    5

    ?.:=

    ?8.1>8>.1

    58

    iA

    iXrn

    drg nfn >?8.1?8.1>*1::.

    Krta eacm dazacl u ndf`mn vnrf`nef`fr2

    \

    f

    f\

    XkrtaX

    X

    X

    X

    X

    XA ::

    Dazac,

    Vacmadf mnvrnmn4

    XLL95: X, 91::, U19=: d, U591:

    d, UL9= d, UN95 d, [email protected] d,

    U\91 d, L\91: H, LL91 H vn

    LN95: H k`muuca orn a`ad dnsfi

    hrndacsc en`fr`nyfcfz vn Ekmn

    nrfsfcf fzfcfz. Hrndacs nrfsfcn dar

    onrnd dazac gnsaec yapcz.

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    18

    6:)//(:

    fn

    @L

    f

    X

    g

    UU

    X

    XA

    Rf 9 U1// U5// gfn9 1.86.:186.:)(6:(:: \

    f

    f\Xkrta

    XX

    XX

    XXA

    L\cfc en`fr`nmff dnsfi hrndacs2

    GzddLRU

    hsfs

    @s 78.8)1:*1:)()1:*1)(5.5=(5

    1

    )(5

    18

    LNcfc en`fr`nmff dnsfi hrndacs2

    51' //// UUUU \\ 91 d // =: d // 1: d 9 1 d

    ?8.5>?8.1>

    1::

    1//5//

    ' ddr

    UUU n

    s

    Nn

    GzLU

    hNn

    @N 1.(5

    1

    5

    18

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    1?

    h@Ncfc mfnr`nrfcmnc k`muda eyd k`ias, eucuc ti sfstnifc a`ad hrndacs tnpdfsfcfcen`fr`ncinsfcmn maga ar`d` k`muucu ostnrindtnmfr. Mfnr efr mnyf`n LLvn L\, ya`czla 1::Gzfc a`tcmadf hrndacs`arma ntdf`f k`aladtr.

    fimf mE lfcsfcmnc dazac-hrndacs nrfsfcf (Ekmn nrfsf) fzn`fi.

    Krta eacm dazacl ->1.51 eu`uciutu. Krta eacm e`onsfcmn |Av/Avkrta|mE 9 1 k`aladtr. ndf` 1.1:maostnrf`mff ofef 5:`ko1:(>1.51/>1.51) 9 : mE k`aladtr. Dnsfi hrndacscma,|Av/Avkrta|9:.?:?*>1.519.:)*?:?.:(

    ZU

    X

    U

    XZ

    @@

    @@

    Onrnd hrndacs tnpdfsfcf fzind ffc du``ac`ac asfiptkt nfif -15 mEn mindtnmfr.

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    17

    5.5.

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    1.5.= Vdsn`tn`nrfc ydsnd hrndacs lnvae2

    1.5.=.1 If``nr dapasftacs

    p-c nd`nifcfc efr dapasftacs k`muu ef`fcindtnmfr. Efr krtad nintr` (lkiikc nifttnr-LN) EB]ydsn`tntn, eu dapasftacs ydsnd hrndacs`arma eaz-dk``ndtr nd`nifcmn ntdfc k`iadtamr. Krtaddaycad` (Lkiikc skurln-L\) HN]`nrmn fsn, yfcn ydsnd hrndacs`arma Onft-\avad (oatn-mrafc)nd`nifcmn ntdfc k`iadtamr. tn eu dapasftfh ntdfyn If``nr dapasftacsmncf`indtnmfr. Eu ntdf, ofrfvn d mnvrn`nrfcf ntdf`nindtnmfr. Ey`nln, eu ntdf`nr If``nr ofrf vn d dapasftacs k`aradam`acmr`iadtamr.

    If``nr ofrf dapasftacscc (LI) ntdfsf, ndf` 1.15mnostnrf`iftfr.

    ndf` 1.15If``nr ofrf dapasftacs

    LI 9 (1+|AX|)Lh

    If``nr ofrf dapasftacscc ifdtar, ofrf f`n d arascmadf f n`ndtrkt (fctnr-n`nltrkmn)dapasftacsca vn dazacla (AX) ea`mr.

    If``nr d dapasftacs fsn ndf` 1.1

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    5:

    hX

    IK LA

    L

    11 2 If``nr d dapasftacs

    aynt dazac (AX) 1mnc kd eydsn, LIKLh a`caef`fr.

    1.5.=.5 EB]`f ydsn`tn`nrfc ydsnd hrndacs lnvae

    Vdsnd hrndacs muruiucma EB]`nrmn -< mE ckdtasc en`fr`nync fdf hadtr varmr2 (1) Mnvrndapasftacs (parazftfd vn ea`act dae`k`arcmac mk`ay k`uac), (5) g hn()cc hrndacs eai``.

    ndf` 1.1=mnEB]cfc parazftfd dapasftacs`ar (Len, Lel, Lln) f`n ea`act dae`k`arcc dapasftacs`ar(L_1vn L_5) ostnrf`indtnmfr.

    ndf` 1.1=Krtad nintr` ydsn`tnlfc ydsnd hrndacs lnvae

    ndf` 1.1=mndf mnvrncfc ydsnd hrndacs ikmn`f ndf` 1.1>mnvnrf`indtnmfr.

    ndf` 1.1>EB]`f ydsn`tnlfc ydsnd hrndacs ikmn`fL:9LI:+Lln+L_5

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    51

    Eu ikmn`mn L\, LNvn LLdkcmacsatr`nrf eu`uciaiadtamr. cd ydsnd hrndacsta euc`arc dsamnvrn k`muu varsay`itr.

    Ofrf mnvrnsf ffc -< mE dnsfi hrndacs2

    Eurama,

    U]g19 U\// UE1// UE5// Uf

    Lf 9 L_1+ Len+ LI9 L_1+ Len+ (1+|Av|) Lel

    \kc mnd`nimndf, L_12 Ofrf dae`k`aia dapasftacs,LI 2 If``nr ofrf dapasftacs

    ndf` 1.1>mn ostnrf`mff ofef, ydsnd hrndacs`arma Lf aza`alacmac4 UE1, UE5, Uf vn Lf para`n`efr`nfifcfc tkp`ai nipnmacs ma aza`aladtr. \kcuta, Lfu`arcmadf onrf`fi vn Feadi aza`r. Cntskcu, sfstnifc tkp`ai dazaclc minsfmfr.

    d mnvrnsf ffc dnsfi hrndacs4

    Eurama,

    U]g59 Ul// U@

    L: 9 L_5+ Lln+ LI:9 L_5+ Lln+Lel

    kd ydsnd hrndacs`arma L:dapasftacs aza`alacmac, d mnvrnsfcmndf nipnmacs ma aza`aladtr.\kcu k`arad, X:ma shra mkru aza`aladtr.

    ghnya ma cc hrndacsa eai``2

    Vdsn`tnlfc ydsnd dnsfi hrndacscc en`fr`ncnef`insf ffc, ghn ()cfc hrndacsa eai``c n`na`iad onrndfr. cc hrndacs`a mnfinsf yad`ad k`arad aamadf fhamn f`n vnrf`nef`fr2

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    55

    )(5)(5 elenkrta

    i

    elen

    eng

    LL

    o

    LL

    ohh

    hn

    Eurama,en

    en ro

    1 2 Eaz vn nintr arascmadf f`ntdnc`fd

    fe

    ig

    o1

    k`arad ma a`caef`fr.

    Vdsnd hrndacs e`onsfcmn hrndacsa ea` ghnvn ghemnffi`nrf ndf` 1.18maostnrf`indtnmfr.

    ndf` 1.18Vdsnd hrndacs e`onsfcmn hrndacsa ea` ghnvn ghe mnffi`nrf.

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    5 pH)

    9 177.> pH

    Eurama du``ac`ac Av mnnrf If``nr dapasftacscmadf dazac mnnrf f`n f`of`f k`muucmac maga clndfrcnfifzmn eu`muuiuz dazac mnnrfcf du``acmd.

    U]g59 Ul// U@9 = d // 5.5 d 9 1.=16 d

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    5=

    L: 9 L_5+ Lln+ LI:9 L_5+ Lln+Lel9 7 pH + 8 pH + 1.> pH 91>.> pH

    IGz

    LUh ]GG

    5=.?15.1.1>)(1:*=16.1(57.8 15 1

    6

    15.=6(5

    1:

    )(5 15

    1.5.=.< HN]`f ydsn`tn`nrfc ydsnd hrndacs lnvae

    EB]`f ydsn`tn`nrfc ydsnd hrndacs lnvae ffc on`ftfrf`nc ikmn` HN]`f ydsn`tn`nrn mnuyou`acaef`fr (ndf` 1.1?).

    ndf` 1.1?HN]`f ydsn`tnlfc ydsnd hrndacs lnvae

    Lom2 \avad (ada) f`n onft arascmadf dapasftacsLos 2 Onft f`n daycad arascmadf dapasftacs

    Lms2 \avad (ada) f`n daycad arascmadf dapasftacs

    Ofrf mnvrnsf ffc2

    L_5

    L_1

    d mnvrnsf ffc2

    L_12 Ofrf dae`k`aia dapasftacsL_52 d dae`k`aia dapasftacs

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    58

    1.5.> kd dat` (Iu`tfstaon) hrndacs ntdf`nrf

    kd dat` ydsn`tn`nrmn, gnr dat dncmf hrndacs lnvaeca sagfp k`aladtr. Hadat, efr datc d efrskcradf datc dapasftacs`ar tarahcmac ntdf`ncnlndtfr. Eu murui, zn``fd`n ydsnd hrndacs`arma szdkcusumur. rcnfc, d dapasftacscc (L:) efr skcradf datc ofrf If``nr dapasftacsc (LI),ea`act dapasftacsc (L_1) vn parazftfd dapasftacs (Lel) fnrinsf onrndfr. Ayrla, fdfclf datcnmncfy`n f`avn a`ad hrndacs dnsfi snvfyn`nrf k`aladtr4 eu ma eu e`onmndf sfstnifc tkp`aidazaclc maga ma aza`taladtr. Eu murui, < dat` efr ydsn`tn sfstnif ffc ndf` 1.17mnostnrf`iftfr.

    ndf` 1.17kd dat` efr sfstnifc hrndacs lnvae

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    5?

    5. ML O DAVCAD@AUF

    Ef`fcmff ofef etc n`ndtrkcfd lfgaz`ar (ramyk, tnyp, tv, ef`ofsayar v.e ofef) a`iad ffc efr MLncnrbfyn onrndsfcfi muyar`ar. ML ncnrbf, pratfd k`arad pf` vnya ad`nrmnc n`mn nmf`fr. Eu k`mudapaga` efr zimr. ML ncnrbf n`mn ntincfc mfnr efr a`tnrcatfhf fsn ngfr nendnsfcmnc a`cac alonrf`fif du``aciadtr. nendnmnc a`cac al hkrimadf sfcskfma` onrf`fi, ML onrf`fin mctr`r.Eu f`ni ffc ML o daycad`ar du``ac`r. ]nin` efr ML o daycacc e`kd nias ndf` 5.1mnor`indtnmfr. \fstni4 mkru`tulu, hf`trn vn rno`atr (rnou`atkr) mnvrn`nrfcmnc k`uiadtamr.\fstni ofrffcn uyou`acac al onrf`fi (oncn``fd`n ngfr nendn onrf`fif), efr tracshkriatr yarmiy`afstncf`nc onrf`fi mnnrfcn mctr`r. ]racshkriatr dcmac a`cac eu al onrf`fi, mkru`tiamnvrn`nrf du``ac`arad mkru`tu`ur. Mkru`tu`ac onrf`fi, fmna` efr ML onrf`fimnc uzadtr vn az mak`sa ma`oa`acia`ar (rfp`) fnrfr. Hf`trn mnvrn`nrf tai efr ML onrf`fi n`mn ntind vn rfp` hadtrcifcfiuia fcmfrind ffc du``ac`r. mna` efr ML onrf`fi n`mn ntind ffc du``ac`ac skc dat fsn

    rno`atr mzncnd`nrfmfr. \fstnif k`uturac e`kd`ar srasy`a fcln`nyn`fi.

    ]racshkriatr Mkru`tia Hf`trn Uno`atr

    U@

    ndf` 5.1AL onrf`fifc ML onrf`fin mctr`insf

    5.1 ]racshkriatr

    ngfr nendn onrf`fif oncn``fd`n 55: Xris/>: Gzmfr. Eu onrf`fi mnnrfcfc en`fr`ncnc vnya fstncf`ncefr al onrf`fi mnnrfcn mctr`insfcmn tracshkriatr`nr du``ac`r. Efr tracshkriatr sf`fsyui`uzn` satac yap`i ovmn (dardas) znrfcn sar`ac f`ntdnc fdf ayr saromac k`uur. Eu saro`araprfinr vn sndkcmnr am vnrf`fr. Zrfinr ofrf, sndkcmnr d sarosmr. Zrfinr f`n sndkcmnr saro`ararascma hfzfdsn` efr ea`act ykdtur. Eu zn``fd, du``acly vn sfstnif ngfr nendnsfcmnc ya`taradovnc`f efr a`ia sa`ar.

    rntflf`nr nft`f o mnnr`nrfcmn tracshkriatr rntnrnd du``aclcc tdntfifcn sucar`ar. Efrtrahkcuc ol artda ekyutu vn hfyat ma artiadtamr. Ncnrbf dayp`ar az k`muucmac prfinrmnc

    uyou`acac o, kd az dayp`a sndkcmnrn adtar`r. Zrfinr saro`ar oncn``fd`n 55: Xrismfr.\ndkcmnr saro`ar fsn hard` onrf`fi mnnr`nrfcmn rntf`indtnmfr. ]racshkriatr`nrfc prfinr vnsndkcmnr onrf`fi`nrf vn o`nrf znr`nrfcmn ntdfc mnnr (ris) k`arad en`frtf`fr.

    ]racshkriatr snfifcmn4 prfinr vn sndkcmnr onrf`fi`nrf f`n efr`fdtn olcn mn mfddat nmf`in`fmfr.Efr o daycacc tasaricma du``ac`alad tracshkriatrc tkp`ai ol4 trahk znrfcmn vn mfnrmnvrn n`niac`arcma garlacac o f`n ydtn garlacac olc tkp`ai damarmr. ]racshkriatr gnrmuruima fstncnc adi vnrin`fmfr. Hadat efr tracshkriatrmnc uzuc srn ydsnd adi ndf`frsn,ndfrmnfc mkyia e`onsfcn ofrin tng`fdnsf varmr. Eu cnmnc`n tracshkriatr snfifcn mfddatnmf`in`f, tasar`acalad ML daycacc olcn uyouc tracshkriatr snfif yap`ia`mr. ndf` 5.5mnrcnd k`arad hard` o`nrmndf eaz tracshkriatr orct`nrf vnrf`iftfr.

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    ndf` 5.5nft`f o`nrmn tracshkriatr`nr

    5.5 Mkru`tia Mnvrn`nrf

    ngfr nendnsfcmnc a`cac vn efr tracshkriatr yarmiy`a mnnrf, fstncf`nc snvfynyn ayar`acac ALonrf`fif ML onrf`fin mctrind ffc f`d ami mkru`tia mnvrnsf du``aciadtr. Mkru`tiamnvrn`nrf, yari ma`oa vn tai ma`oa k`iad znrn fdf tfptfr. Vari ma`oa mkru`tia mnvrnsf da`ftn`fefr o dayca tasari ffc yntnr`f mnf`mfr. d onrf`fif md vn maren`fmfr. yf efr o daycatasaricma iut`ada tai ma`oa mkru`tia mnvrnsf du``ac`ia`mr. Dpr tfpf vn krta u`u k`iad

    znrn fdf tfp tai ma`oa mkru`tia mnvrnsf tasar`acaef`fr. ]fpfd efr dpr tfpf vn krta u`u taima`oamkru`tia mnvrnsf ndf` 5.

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    56

    ndf` 5.=]ai ma`oa mkru`tia mnvrn`nrf d ma`oa ndf``nrf

    5.< Hf`trn Mnvrn`nrf

    Vari ma`oa vn tai ma`oa mkru`tia mnvrn`nrfcfc d`arcmac a`cac mkru`tu`iu sfcya` fmna` efrML sfcya`mnc kd uzadtr. Mkru`tulu mnvrn`nrfc dcmac a`cac eu sfcya` maren`fmfr vn efr kdAL ef`nnc earcmrr. N`ndtrkcfd mnvrn`nrmn vn oc`d gayatta du``acmiz ML sfcya` fsn fmna`n

    yadc k`ia`mr, al ef`nnc`nr vn maren`nr earcmriaia`mr. ngfr nendnsfcmnc n`mn nmf`ncmkru`tu`iu sfcya` nft`f hf`trn mnvrn`nrf du``ac`arad fmna`n yadc efr ML onrf`fi ga`fcnmctr`nef`fr.

    Hf`trn`nin n`niac tfp`nrf uc`armr2

    UL hf`trn`nr @L hf`trn`nr vn ] tfpf hf`trn`nr

    Nc fmna` hf`trn`nin n`niac`ar dkcmacsatr vn ekefc`nrmfr.

    a-) UL hf`trn

    ndf` 5.>mn dkip`n efr ML o dayca mnvrnsf, d farntfcfc ma`oa effif vn a`aef`nlnf MLmnnr vnrf`iftfr. dta hf`trn aialy`a du``ac`ac dkcmacsatrc dapasftn mnnrf cni`fmfr. Eydmnnr`f dapasftnyn sagfp dkcmacsatr maga fyf skcu vnrfr.

    ndf` 5.>Dpr mkru`tulu vn UL hf`trn mnvrn`nrf

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    ]UAC\\]U@ ONU@I UNO@A]U@NU

    Darar` vn mznc`f efr ML onrf`fi n`mn ntind ffc onrf`fi rno`asykcu dac`iazmr. Onrf`firno`asykcu, onrf`fi rno`atr mnvrn`nrf du``ac`arad yap`iadtamr. `d onrf`fi rno`atr`nrf zncnrmfykt-tracsfstr fdf`fsfcfc du``aci f`n on`ftfrf`iftfr.

    Uno`n f`nifcfc aial en``f efr n`ndtrfdsn` eyd` m ntdf`nrmnc eaisz k`arad saefttutaef`indtfr. Eucuc ffc rno`n nmf`nlnd eyd`d (onrf`fi vnya adi) srnd`f k`arad ``indzkrucmamr. ``nc eu mnnr (k acmadf mnnr), k`ias fstncnc onrnd mnnr`n dar`atr`arad rno`nf`nif yap`r. Uno`n mnvrn`nrfcmn4 k`ias fstncnc mnnr ffc efr rnhnracs onrf`fif onrnd`fmfr.Eu mnnr zncnr mfykt`ar`a sa`acr. Eucuc`a efr`fdtn, zncnr mfykt rno`n f`nif ffc tnd eacayntnr`f mnf`mfr. Rncnr mfykt`a a`cac rnhnracs mnnr, mfnr efr tadi n`ndtrkcfd mnvrnn`niac`ar f`n on`ftfrf`nrnd rno`n f`nif yap`r. Uno`n f`nif onrf`fi ffc yap`m ofef adiffcmn yap`aef`fr. Onrf`fi rno`atrcc daradtnrfstfd`nrf, tracsfstr ofef adtfh n`niac`ar du``acaradcni`f `mn fyf`ntfrf`nef`fr (ml adi ydsn`tinsf sa`acias).

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    .1

    Zara`n` Onrf`fi Uno`atr`nrf

    Zara`n` stacmart efr onrf`fi rno`atr mnvrnsf ndf` 5.6mavnrf`iftfr. Eu mnvrnmn, UZmfrnclf vn Qtracsfstr yarmi f`n rno`n nmf`inyn uyouc efr onrf`fi e`l k`uturu`ur. d onrf`fifX@9X:, zncnr onrf`fifcmnc tracsfstrc XEN nfd onrf`fif damar maga eydtr. Vacf X:9XR+XENk`ur. UZ c mfrnclf, tracsfstrc iadsfiui adi vn tracsfstrmn garlaciasca fzfc vnrf`nciadsfiui o daye a`iayalad effimn snf`in`fmfr.

    ndf` 5.6 Zara`n` Onrf`fi Uno`atr Mnvrnsf

    rcnfc zncnr onrf`fif XR9>.8 Xk`t, rno`nsfz ofrf onrf`fif XC918 Xk`t mnnrfcmn fsn,tracsfstrmnc fzfc vnrf`nc iadsfiui FL91 A`fd adias ga`fcmn Up mfrnclfcfc mnnrf4

    k`arad n`mn nmf`fr. ]racsfstrc niftnr f`n dk``ndtr dsa mnvrn nmf`frsn, eu muruima ofrfonrf`fifcfc tkp`ai Up mfrnclf znrfcmn mnr. Up mfrnclfcmn garlacac tkp`ai o fsn4

    k`arad eu`ucur. K ga`mn Up mfrnclf, 5> _ d efr o`n yd`ncnef`nlnd ndf`mn snf`in`fmfr.Mnvrnmndf FDdsa mnvrn adi fsn4

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    :

    1:5.:iax

    k`ur vn zncnr ol4

    ZR 9XRFR ZR 9>.8Xx:.:=A ZR 955= i_

    n`mn nmf`fr. Zara`n` onrf`fi rno`atr`nrf uyou`aia`arma pnd du``ac`iaz`ar. cd eutr onrf`fi rno`atr`nrfcmn ydsz muruima magf efr o garlacias sz dkcusumur.Eu murui cni`f efr mnzavactabmr. ^you`aia`arma eucmac mk`ay oncn``fd`n snrfonrf`fi rno`atr`nrf tnrlfg nmf`fr.

    5.>.5 \nrf Onrf`fi Uno`atr`nrf

    \nrf onrf`fi rno`atr`nrfcmn, rno`asykc tracsfstr ydn snrf ea`acr. d onrf`fif X:,zncnr onrf`fif (XR) f`n tracsfstrc enyz-niftnr onrf`fif (XEN) hardca nfttfr. ndf` 5.1:'ma snrfrno`atr mnvrnsf or`indtnmfr. Euca orn d onrf`fif4

    X:9XR+(-XEN)

    k`ur. d yd adi fsn, snf`nc tracsfstrc enyz adic sa`ayaef`insf art f`n4

    F:iax9(FRiax-FRifc)

    mnnrfcmn k`ur. Eurama tracsfstrc da`mraef`nlnf iadsfiui o daye ma mfddatn a`cia`mr. ,tracsfstrc adi dazaclmr. U\mfrnclfcfc eu muruima mnnrf4

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    Mk`aysy`a eu mnvrnmnc nc az 8.= X d onrf`fif n`mn nmnrfz. Maga dd d onrf`fif n`mnntinifz iidc mnf`mfr.

    ndf` 5.11d Ayar`acaef`nc Darar` Onrf`fi Uno`atr

    Q< tracsfstrcmn garlacaef`nlnd iadsfiui o ZQ.< Ar Adi Dkruias

    Uno`n`f onrf`fi daycad`arcmac fstncnc efr mfnr zn``fd fsn ar adi dkruiasmr. Uno`n`f efradi daycacc dcmac ar adi ndf`mffcmn vnya dsa mnvrn k`muucma rno`n mnvrnsfcfc vno daycacc zarar orininsf ffc ar adi dkruia mnvrnsf nd`ncfr. ndf` 5.15'mney`n efr

    Q

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    f`n dkm`aciefr rno`atr4 +>X d onrf`fif vn 1A d adica sagfptfr.

    ]ae`k 5.1]imnvrn`f Zkzftfh Onrf`fi Uno`atr`nrf

    ?7I1> nd`fcmn dkm`aci efr onrf`fi rno`atr fsn +1> X d onrf`fifcn vn >:: iAd adica sagfptfr. Zkzftfh vnya cnoatfh saeft onrf`fi rno`atr`nrf du``acarad rno`atryapiad ffc ]ae`k >.1mn en`frtf`nc scr mnnr`nrn uyiad onrndfr. rcnfc4 timnvrn onrf`firno`atrcc ofrffcn uyou`acalad rno`nsfz onrf`fi mnnrf, rno`atr onrf`fifcmnc nc az 5Xmaga eyd k`ia`mr. ]imnvrn onrf`fi rno`atr`nrfcfc pnd kucuc d`ar s`dkruia`mr. dtac ar adi ndf`mffcmn s` muyar` dkruia mnvrnsf ntdfc`nnrndtimnvrnyf ar adia dar dkrur. Zkzftfh saeft onrf`fi rno`atr`nrfcfc tnrifca` ea`act`arvn d`h tfp`nrf fsn ndf` 5.1=mnvnrf`iftfr.

    ndf` 5.1= ]imnvrn pkzftfh onrf`fi rno`atr`nrfcfc d`h tfp`nrf vn pfc ea`act`ar

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    , ?6I:6 v.e ofef)dkm`acr`ar. ]ae`k 5.5mn fsn cnoatfh onrf`fi rno`atr`nrf zn``fd`nrf f`n efr`fdtn vnrf`iftfr.]imnvrn`f cnoatfh onrf`fi rno`atr`nrfcfc d`h tfp`nrf vn tnrifca` ea`act`ar ndf` 5.1>mn

    vnrf`iftfr. Cnoatfh onrf`fi rno`atr`nrfcfc tnrifca` ea`act`ar, pkzftfh rno`atr`nrmnc hard`mr.Eu muruia mnvrn tasari vn ikctabcma mfddat nmf`in`fmfr.

    ]ae`k 5.5]imnvrn`f Zkzftfh Onrf`fi Uno`atr`nrf

    ndf` 5.1>]imnvrn cnoatfh onrf`fi rno`atr`nrfcfc d`h tfp`nrf vn pfc ea`act`ar

    5.? ZUA]D UNO@N@ vn ]I MNXUN@ O DAVCAD@AUF2

    u`u saeft pkzftfh onrf`fi rno`atr f`n yap`ac tnin` uyou`aia mnvrnsf ndf` 5.18mafzf`iftfr. Eu ea`act tfpfy`n yap`ac mnvrn ikctabcma4 mkru`tulu, rno`atr vn ens`ncnlnd mnvrnefrefr`nrfcn yadc fsn`nr, L1vn L5dkcmacsatr`nrfcn onrndsfcfi k`iaz. Aclad ea`act dae`k`arcceky`ar efrda sactfimnc uzuc k`muucma ydsnd hrndacs`arma tftrnfif c`nind ffc eudkcmacsatr`nr iut`ada du``ac`r. L5dkcmacsatr ayrla d onrf`fifcfc darar``c sa`aiamavn rno`asykc gzc fyf`ntfrinmn du``ac`iadtamr.

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    =:

    - \aeft onrf`fi rno`atr`nrf2

    ndf` 5.18 u`u pkzftfh onrf`fi rno`atrcc tnin` ea`act nias

    UCND2 Aamadf mnvrnmn @I?7:> nctnornsf du``ac`arad > X`ud saeft d onrf`fif n`mnnmf`indtnmfr. Euca orn, eu ML o dayca mnvrnsfcfc a`iasc a)1>: iA vn e) n`niaccc zn``fd`nrfcmn, nendn rno`asykcucu dkruiad ffcdaeu` nmf`nef`fr ofrf onrf`fif ?.< X k`arad vnrf`iftfr.

    RI2

    ]ai ma`oa vn dd yd`nrmn ma`oa``d onrf`fif (Xr) aamadf hkri``n vnrf`nef`fr2

    LU

    X

    L

    FrisX

    @

    mlmlr

    77.577.5)(

    Eurama FMLif`faipnr, L ifdrkharam vn U@dkgimur.

    Xr (p-p)

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    =1

    Euca orn yudarmadf rcnfifzn mcnlnd k`ursad2

    a) XL

    F

    risXtnpnXml

    rr ==.55>:

    )1>:(77.5

    .5

    77.5

    .5)(5)(

    5>: H`d hf`trn`nin dapasftnsf znrfcmndf ML onrf`fi2

    XML9Xi-Xr(tnpn)91> X 5.== X 9 15.>8 X

    Ofrf, eu ML onrf`fi lfvarcma ma`oa`acala ffc ifcfiui ofrf onrf`fif aamadf mnnrn damarmnef`fr2

    Xofrf(ifc)9 Xi-5Xr(tnpn)91> X 5(5.==) X 9 1:.15 X

    Eu mnnr ?.< X acia mnnrfcfc znrfcmn k`muu ffc d onrf`fif +> X mznyfcmn da`aladtr.

    e) Vudarmadf gnsap`aia`ar F@9 X 5(=,77) X 9 >,5= X eu`ucaladtr.

    Eu fsn daeu` nmf`nef`fr ifcfiui ofrf onrf`fif k`ac ?.< Xuc a`tcmamr. Uno`asykc, 1>: iAfca`tcmadf yd adi`arcma dkrucurdnc,

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    =5

    ndf` 5.1?Ar adi dkruia` ydsnd d adi` rno`atr mnvrnsf

    - Ayar` onrf`fi rno`atr`nrf

    \aeft onrf`fi rno`atr`nrfcfc d onrf`fi`nrf fstncfrsn ayar`acarad fstncf`nc mnnr`nrmn donrf`fif vnrinsf sa`acaef`fr. d onrf`fif fstncf`nc efr mnnrn ayar`acaef`nc efr mnvrnrcnf ndf` 5.17'mnvnrf`iftfr.

    ndf` 5.17 d Onrf fif Ayar`acaef`nc Uno`atr Mnvrnsf

    Eu mnvrnmn timnvrn dca U1vn U5mfrnc`nrf ea`acitr. Uno`atrc d onrf`fif X:4

    QUNO FUXX 5:

    hkri` f`n eu`ucur. Hkri`mn du``ac`ac FQ adi, U5 mfrnclfcmnc adac sdcnt adimr vnmnnrf > iA f`n 1: iA arascma mnffr. Mnvrncfc d onrf`fifcfc ma`oa``d krac k`mudaeydtr. Ma`oa``d kracc aza`tiad aial f`n da 1:: H`d efr dkcmacsatr ea`acitr.d ma`oa``d krac euca rainc aclad 5: iXa damar mr`nef`iftfr.

    ndf` 5.16ma ayar`acaef`fr d vnrnc pkzftfh vn cnoatfh onrf`fi rno`atr`nrf vnrf`iftfr. Gnr fdfmnvrnmn mn d onrf`fif U5ayar` mfrnclf tarahcmac ayar`aciadtamr. U5mnnrfcn ea` k`arad donrf`fifcfc a`aef`nlnf onrf`fi mnnr`nrf fsn tae`k k`arad vnrf`iftfr.

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    = f`n %8:`ar snvfynsfcmnmfr. Eu muruima almnc mlyn mctrin f`nifcmn yad`ad k`arad%>:`nr snvfynsfcmn efr ncnrbf daye sz dkcusumur. Md o` (1: _ a`t) ml o daycad`arcctasaricma cnisncinynlnd ekyut`arma k`ac eu dayp zn``fd`n ydsnd o`nrmn skruc`ara cnmnck`iadtamr. Mkrusa` (`fcnnr) efr rno`atrmn o daye yad`ad k`arad4

    ZUNO9 (XX:) F@ XLN FL

    k`arad fhamn nmf`indtnmfr. Mk`aysy`a dayp`arc ticn yadc dkctrk` n`niac k`arad du``ac`ac vnadtfh e`onmn a`tr`ac tracsfstr znrfcmn k`uiadtamr.

    Acagtar`aia` Onrf`fi Uno`atr`nrfcfc avactab`ar2

    Acagtar`aia` o daycad`arcc vnrfi`nrf mfnr o daycad`arca cazarac k`mudaydsndtfr.

    Acagtar`aia` onrf`fi rno`atr`nrfcfc a`ia hrndacs`ar ngfr nendnsfcmnc kd ydsndtfr(dGz). Eu cnmnc`n tasari`arcma du``ac`ac ekefc vn tracshkriatr v.e ofef mnvrnn`niac`arcc hfzfdsn` ekyut`ar k`muda ddtr.

    Mkrusa` rno`atr`nrmn4 rno`nsfz ofrf onrf`fif mafia d onrf`fifcmnc eyd k`ia`mr.Acagtar`aia` rno`atr`nrmn fsn d onrf`fif ofrftnc eyd yap`aef`indtnmfr.

    Acagtar`aia` onrf`fi rno`atr`nrfcmn efrmnc haz`a d n`mn nmf`nef`indtn vn donrf`fifcfc dutup`ar mnftfrf`nef`indtnmfr. Eu zn``fd mkrusa` rno`atr`nrmn sz dkcusumnf`mfr.

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    =>

    Acagtar`aia` Onrf`fi Uno`atr`nrfcfc mnzavactab`ar2

    Vap`ar mkrusa` (`fcnnr) rno`atr`nrn orn maga dariadtr. Eu cnmnc`n tasari`ar zkr vnia`fynt`nrf ydsnd k`up md o`nr ffc du``aci vn tasari pnd tnrlfg nmf`inz. Vdsndo` ml daycad`arc tasaricma fsn acagtar`aia` onrf`fi rno`atr du``aciad cnrnmnysnzkruc`u`udtur.

    d or`t snvfyn`nrf vn ma`oa``d krac`ar maga ydsndtfr. `avn hf`trn mnvrn`nrfdu``acica onrndsfcfi muyu`ur. Eu murui ia`fyntf artrr.

    Vd adi`arcma vn ofrf onrf`fi`nrfcmn inymaca on`nc mnffi`nrf a`o`aia vn tnpdf vnrinsrn`nrf maga uzucmur.

    Acagtar`aia` onrf`fi rno`atr`nrf yap`arcmac mk`ay, n`ndtrkiacyntfd vn ramyk hrndacs`(NIF-UHF) ofrffi`nrn snenp k`ur`ar. Eu cnmnc`n zn` hf`trn mnvrn`nrfcn vn ndrac`aiaf`nifcn onrndsfcfi muyar`ar.

    5.7.1 Acagtar`aia` Onrf`fi Uno`atrcc a`ia prncsfef2

    Acagtar`aia` onrf`fi rno`atrcc tnin` a`ia prncsfef, ofrffcn uyou`acac ml farntfc ydsndhrndacs`arma acagtar`acarad da adtar`iasca mayaciadtamr. Eu f`ni ffc ofrf onrf`fifdy`iadta vn maren-pnrfykt krac mnftfrf`indtnmfr. Dsala maren oncf`ff ikm`asykcu (Zu`sn_fmtg Ikmu`atfkc9Z_I) yap`iadtamr. Eu f`ni4 rno`atr dc ofrf onrf`fifcmn k`uacmnffi`nrmnc eaisz ga`n ontfrfr.

    Ayrla mnvrnmn du``ac`ac n`niac`ar (yarf`ntdnc`nr) dnsfi/mkyui ikmucma acagtar`aia` k`arada`td`ar ffc o dayp`ar ifcfiuimur. Acagtar`aia` efr o daycacc e`kd k`arad tnin`yaps ndf` 5.51mn vnrf`iftfr.

    ndf` 5.51 Acagtar`aia` ML onrf`fi rno`atrcc e`kd mfyaorai

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    =8

    E`kd mfyaorai vnrf`nc acagtar`aia` onrf`fi rno`atrcc tnin` a`ia f`dn`nrfcmnc k`ac marenoncf`ff ikm`asykcucuc (Z_I) tnin` prncsfef fsn ndf` 5.55mn ostnrf`iftfr.

    ndf` 5.55Acagtar`aia` ml onrf`fi rno`atrcmn ma`oa effi`nrf

    Acagtar`aia` onrf`fi rno`atrcc e`kd mfyaoraicc ma or`m ofef gata aip`fhfdatrccnvfrnc ofrffcmndf onrf`fi (XI), onrf ens`ninmnc mk`ay4

    Kpaipc fmna` k`muu daeu` nmf`frsn (nvfrnc vn nvfrinync ofrf`nrf arascma onrf`fi hard ykdtur),nvfrinync ofrftndf XUNHmnnrf4

    N`mn nmf`nc d onrf`fifcfc mnvrn ofrf onrf`fif Xmnc vn yd adi F@mnc eaisz k`muuor`indtnmfr. Mnvrnmn U595U1vn XUNH91: X k`arad snf`frsn, mnvrncfc d onrf`fif X:4

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    =?

    k`arad eu`ucur. Mk`ays f`n d onrf`fifcfc iadsfiui mnnrf Xdamar k`muucmac eu mnvrnX:0Xk`alad ndf`mn du``ac`aef`fr. ndf` 5.51mn vnrf`nc onrf`fi dar`atrlcc dcmadf XAonrf`fifcfc pnrfykmu ]mfr. Euca orn maren-pnrfykt krac4

    Or`m ofef maren pnrfykt kracc (M)4 XAonrf`fifcfc pnrfykmu (]) en`fr`nindtnmfr. XAonrf`fiffsn ndf`-5.51mn or`m ofef dar`atrl ofrffcn vnrf`nc XI mnnrfcn ea`mr. Mk`aysy`asfstnifc `fcnnr efr maren pnrfykt ikm`atr (Z_I) ofef a`tc sy`nynef`frfz.

    Mnvrnmn (ndf` 5.51) Z_I ikm`atr dcmac a`cac XAonrf`fif darn ma`oamr. Eu onrf`fifcol, efr o acagtarcmac onfrf`nrnd ydsn`tf`indtnmfr. Mk`aysy`a o acagtar dcmac a`cacXE onrf`fif mn darn ma`oamr. Eu onrf`fimn eu`ucaef`nlnd ydsnd hrndacs` garikcfd ef`nnc`nrfzayh`atiad ffc efr @L a`ad onfrnc hf`trn mnvrnsf du``ac`r. Eu f`ni ffc W@33WLsnf`in`fmfr.Eu muruima mnvrn dcmac a`calad X:d onrf`fif, XEcfc krta`aia mnnrfcn nfttfr.

    Acagtar`aia` rno`atr mnvrnsfcmn du``ac`ac o acagtar fsn (pkwnr swftlg) efr orup tracsfstr`nonrnd`ntfrf`nc zn` efr acagtarmr. Eu mnvrnmn tracsfstr`nr adtfh e`onmn a`tr`iaz. Dnsfi vnmkyui e`on`nrfcmn efr acagtar ofef a`tr`r. Eu yzmnc o dayp`ar kd azmr. O acagtar

    mnvrnsfcmn vnrfi`f`ff artriad aialy`a dk``ndtr-niftnr mkyui onrf`fif (XLN(\A])) md vnacagtar`aia gz ydsnd tracsfstr`nr tnrlfg nmf`fr.

    5.7.5 Acagtar`aia` Onrf`fi Uno`atr nft`nrf2

    Ocizmn pnd kd hard` tfp acagtar`aia` onrf`fi rno`atr tasari yap`aef`indtnmfr. Euc`arcfnrfsfcmn nc yayoc k`arad du``ac`ac`ar fsn oncn``fd`n < tfptfr. Euc`ar4

    Aaya mkru (stnp-mkwc vnya euld) acagtar`aia` rno`atr

    Vudarya mkru (stnp-up vnya ekast) acagtar`aia` rno`atr Vc nvfrnc (fcvnrtfco vnya ekast) acagtar`aia` rno`atr

    a) Aaya mkru (stnp-mkwc vnya euld) acagtar`aia` rno`atr2

    Aa mkru acagtar`aia` rno`atr`nrfc dcmac a`cac rno`n`f onrf`fi, rno`nsfz ofrfonrf`fifcmnc maga ddtr. ndf` 5.5

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    =7

    fsn d onrf`fifcf aza`tiadtamr. ]racsfstr dnsfi vnya mkyui ikmucma acagtar`aia`a`tr`arad tKCvn tKHHsrn`nrf dkctrk` nmf`indtnmfr. Eu mnvrncfc d onrf`fifcf hkri`n nmnrsnd4

    ndf` 5.5< Aa mkru acagtar`aia` onrf`fi rno`atr vn onrf`fi ma`oa effi nrf

    Mnvrnmn rno`asykc f`nifcfc cas` onrnd`ntfrf`mffcf dsala ac`ata`i2 Uno`atr d onrf`fifcfc

    (X:) gnrgacof efr snenp`n aza`ias, U

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    =6

    ndf` 5.5=Oncn` aia` acagtar` onrf`fi rno`atrcc f yaps vn pfc ea`act`ar

    ndf` 5.5=mn or`m ofef eu timnvrn, acagtar`aia` rno`atr sfstni`nrf ffc onrnd`f k`ac adtfhyap e`kd`arc earcmriadtamr. Eu e`kd`ar dsala4 slad`d dkipaczn`f onrf`fi rnhnracs, adtfhadi scr`ayl` vn maren-pnrfykt kracc dkctrk` nmnc ksf`atr mnvrnsf, gata duvvnt`ncmfrflfsf,ydsnd adi-ydsnd onrf`fi d acagtar, efr o mfykmu vn oncn` aia` efr kpaipmack`uiadtamr.

    Eu timnvrncfc eaz cni`f zn``fd`nrf aama sra`acitr.

    Vudar mkru, aa mkru vn yc nvfrnc acagtar`aia rno`atr k`arad du``ac`aef`fr.

    d onrf`fif 1.5> X f`n =: X ara`cma fstncf`nc efr mnnrn ayar`acaef`fr.

    ]imnvrn tnd eaca vn garflf o tracsfstkr du``aciamac 1.> An damar tnpn adi vnrnef`fr.

    Md onf (stacmey) adi mdtr.

    7: mE lfvarcma yd vn gat rno`asykcuca sagfptfr.

    @I?7\=: nctnornsf f`n onrnd`ntfrf`if stnp-up (yudar) vn stnp-mkwc tfp acagtar`aia` onrf`firno`atr mnvrn`nrf ndf` 5.5> vn ndf` 5.58ma vnrf`indtnmfr. rntflf hfria datk`ko`ar du``ac`aradfgtfyala uyouc acagtar`aia` onrf`fi rno`atr`nrf tasar`acaef`fr.

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    >:

    ndf` 5.5>\tnp-^p Acagtar`aia` onrf`fi Uno`atr (1>X/?:X)

    ndf` 5.58\tnp-mkwc Acagtar`aia` Onrf`fi Uno`atr (X)

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    >1

    Efr @I

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    >5

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    53/102

    >=

    ndf`

  • 8/10/2019 Elektronik II - Erzurum Atatrk niversitesi Elektronik Devreler Ders Notlar

    55/102

    >>

    ndf`

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    >8

    11

    1

    5 LU

    ahL

    rcnd2 U191.5 d, L19:.:5 H k`muuca orn efrfclf mnrnlnmnc a`ad onfrnc hf`trncfc dnsfi

    hrndacsc gnsap`aycz ( 1a 91).

    11

    1

    5 LU

    ahL

    9 8.8< dGz

    \KU^2 Efrfclf mnrnlnmnc a`ad onfrnc adtfh hf`trn mnvrnsfcmn dnsfi hrndacscc 5 dGz k`iasfstncfykr. Euca orn orn L1dapasftnsfcf eu`ucuz.

    RI2

    11

    1

    5 LU

    ahL

    H

    Uh

    LL

    ::7.:

    1:.1:.5:::.5

    1

    5

    1?

    Hf`trncfc ndf`

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    >7

    L59 5.L19 =.7 cH

    cl mnrnlnmnc a`ad onfrnc efr adtfh hf`trn mnvrnsf, -=: mE/mndam vn -5: mE/mndam`d a`adonfrnc adtfh hf`trn mnvrn`nrfcfc armarma ea`acias f`n onrnd`ntfrf`fr.

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    >6

    ndf` H vn Uk191: d, Ukh9 >: d k`muuca orn fdfclf mnrnlnmncydsnd onfrnc adtfh hf`trn ffc dazacl vn dnsfi hrndacsc gnsap`aycz (a191.:11

    :1

    : U

    UA hk

    Dnsfi hrndacs,

    dGzLU

    ahL :=.51:.>:.51::.5

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    8:

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    81

    RI2

    UCND2 U19U591: d, L19:.1 H, L59:.::5 H a`arad eacm onfrnc adtfh hf`trncfc a`t vn st dnsfihrndacs`arc gnsap`aycz.

    RI2

    GzLU

    h @k 1>.1>65

    1

    11

    ,

    dGzLU

    h Gk 68.?5

    1

    55

    ,

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    85

    ndf`

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    81:.1> IGz f`n 76=.1> IGz arascma sa`ci yapias onrndindtnmfr.

    XLK`ar Kp-Aip`ar vnya >88 FL nctnorn mnvrn n`niac`ary`a onrnd`ntfrf`nef`fr`nr. fimfsrasy`a euc`ar fcln`nyn`fi.

    =.1 Kp-Aipc onrf`fi dkctrk`` ksf`atr k`arad du``ac`ias2

    ndf` =.1'mndfmnvrn, Xfofrf vk`tab f`n hrndacs dkctrk` nmf`nef`fr efr tnstnrn mff bncnratrmr. ]nin`k`arad eu mnvrn fctnora` a`l efr mnvrnmfr. Cnoatfh onrf ens`nin gattcma efr dkcmacsatr vn kca

    para`n` ea` efr trfstr (\LU-\f`flkc Lkctrk``nm Unltfhfnr) du``ac`itr. ]rfstr KC-KHHacagtar`aiay onrnd`ntfrfr. ]rfstrmn, ackm-datkm vn oatn k`iad znrn tnrifca` eu`ucur.

    Oatn vk`tab ( XO) en``f efr nfd onrf`fifcf atdtac skcraf`ntfin onnr. Oatn vk`tab, nfd onrf`fifcfc a`tcma efr trfstrya`timamr.

    d vk`tabcc pkzftfh k`ias ffc Xfonrf`fif cnoatfhtfr. MLeataryacc cnoatfh duteu KZ-AIZ 'c haz nvfrnc (-) ofrffcnuyou`acm zaiac dtac pkzftfh efr raipa marensf n`mn

    nmf`fr.

    dta inymaca on`nc pkzftfh maren, trfstrc nfd onrf`fifcfaarsa trfstr f`ntfin onnr vn dkcmacsatr trfstr znrfcmncmnarb k`ur. Eu dnz d cnoatfh ycmn fcinyn ea`ar. dccnoatfh ycmn fcinsf, trfstr ya`tia skdalacmac

    dkcmacsatr tndrar arb k`ur. Eu dnz dcmadf raipa marensf tndrar pkzftfh ycmn artiaya ea`ar.Dkcmacsatrc arb vn mnarb f`n trfstrc f`ntfin vn yat`ia oninsfy`n mnvrncfc dcmactnstnrn mff effifcmndf ma`oa n`mn nmf`fr.

    ndf` =.1 KZ-AIZ '` Onrf`fiDkctrk`` Ksf`atr

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    8=

    Xfofrf vk`tab saeft k`muucmac dtac n`mn nmf`nc tnstnrn mff ma`oacc nfif4

    mXk / mt 9 Xf / UL'mfr.

    dta inymaca on`nc tnstnrn mff ma`oacc pnrfykmu4

    ]9Xo/ (Xf/ UL) 9 (Xo/ 1).(UL/ Xf) 9(Xo/ Xf).UL'mfr.

    ]nstnrn mff ma`oacc hrndacs fsn h 9 1 / ] 'mnc eu`acaef`fr.

    ndf` =.5mnsfi`asykc prkorai du``ac`arad n`mn nmf`if vk`tab dkctrk`` ksf`atr mnvrnsfcfc dma`oa nd`f ksf`asdkpta or`indtnmfr. Ksf`asdkptadf ma`oa nd`f tnstnrn mff effifcmn k`muucmacam tnstnrn mff ma`oamr.

    ndf` =.5XLK mnvrnsfcfc d ma`oa nd`f

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    8>

    =.5 FL >88 nctnornsf f`n onrnd`ntfrf`nc XLK

    >88 FL XLKya efr rcnd tndf` nmnr4 eu nctnorn hrndacs m mfrnc vn dkcmacsatr f`n en`fr`ncnc vnuyou`acac ML onrf`fi`n mnftfrf`nef`nc darn ma`oa vn onc ma`oa sfcya``nrf rntnc mnvrn`nr fnrfr.ndf` =.88 nctnornsfcfc L1m dkcmacsatrc U1m mfrnclfy`n en`fr`ncnc efr gzmamk`muriad vn eka`tiad ffc du``ac`ac adi daycad`arca vn ML ikm`asykc ofrf onrf`fifcnsagfp k`muu ostnrf`iftfr. Dkcmacsatrc mk`muru`ias vn eka`t`ias ffc adi daycad`arcacagtar`aiad aialy`a efr \lgiftt tntfd`nyflf mnvrnsf du``ac`itr. Dkcmacsatrc znrfcmn k`uaconc ma`oa onrf`fif f`n \lgiftt tntfd`nyflfmnc on`nc darn ma`oa taipkc ydsn`tn`nr znrfcmncda vnrf`fr.

    ndf` =.88 hkcdsfykc rntnlfcfc e`kd mfyaorai

    >88 nctnornsfcfc ealad ea`act`ar f`n hkri``nrf ndf` =.=mnostnrf`iftfr. ^youc efr m mfrnc vndkcmacsatr snfify`n ksf`atr, 1: Gz 1 IGz hrndacs ara` arascma mznc`ncnef`fr vn skcra Xldkctrk` onrf`fify`n 1: Gz 1 IGz ara`cma ikm`n nmf`nef`fr.

    ndf` =.=>88 nctnornsfcfc ealad ea`act`ar vn hkri``nrf

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    88

    - >88 hkcdsfykc rntnlfcfc (onrf`fi dkctrk`` ksf`atr) uyou`aia mnvrnsfcn efrrcnd2

    Darn vn onc ma`oa rntnc >88 ffc pratfd efr mnvrn rcnf ndf` =.>mn vnrf`iftfr. Eu pratfdmnvrnmndf paraintrn`nrfc snfif u ndf`mnmfr2

    1. U1, 5 d U1 5: d ara` ffcmn k`ia`mr.

    5. XL, XXX L=

    88 XLK pratfd mnvrnsf

    U5vn UX+

    96 Xmur.

    k`arad gnsap`acr.

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    8?

    - Xl dkctrk` onrf`fifcfc mnftfrf`insfcn rcnd efr pratfd mnvrn2

    d darn ma`oa sfcya`fcfc hrndacsc ayar`aiad znrn Xl ofrf onrf`fifcfc cas` du``ac`aef`nlnfcn(mnftfrf`nef`nlnfcn) rcnd efr mnvrn ndf` =.8mavnrf`iftfr.

    ndf` =.8 >88 nctnornsfcfc Xl dkctrk` onrf`fif f`n hrndacs ayar

    U

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    87

    =.< Haz Df`ft`nin`f nvrfi (Zgasn @kldnm @kkp Z@@)

    Haz df`ft`nin mnvrnsf (Z@@2 Zgasn@kldnm @kkp) onrf ens`nin farntfcfc hrndacs vn hazcc, ofrffarntfcfc hazca vn hrndacsca df`ft`ncin f`dnsfcn mayacac efr sfstnimfr. Ofrf farntfcfc ma`oand`fcn f`fdfc efr scr`aia ykdtur. Haz df`ft`nin nvrfi`nrfcfc f`d uyou`aias, 16

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    86

    ndf` =.?Haz df`ft`nin`f nvrfi f`dnsf

    Mco df`ft`ncmff zaiac (ofrf sfcya` hrndacs f`n XLKcuc hrndacscc ayc k`ias), d k`arada`cac XLonrf`fif XLKyu ofrf sfcya`f f`n df`ft`f tutiad ffc onrndnc onrf`fimfr. Armcmac XLK,ofrf hrndacscma saeft onc`fd`f darn ma`oa sfcya`f rntfr. Nc fyf a`ia, XLK inrdnz hrndacscc(hk) dncmf mkrusa` a`ia ara`cc krtascmadf ML conrf`fi ckdtasca ayar`aciasy`a n`mnnmf`fr. Mco df`ft`f k`muu zaiac haz mnmndtrcn uyou`acac fdf sfcya` ayc haz ma k`iasa ma aychrndacstamr. Haz mnmndtrcn uyou`acac fdf sfcya` arascmadf saeft haz hard, XLK ffc saeft efr ML

    onrf`fi k`uturur. Eu muruima ofrf sfcya`fcfc hrndacscmadf mnfin`nr, XLKya uyou`acac MLonrf`fifc mnfinsfcn cnmnc k`ur. Vada`aia vn df`ft`nin hrndacs ara`cma ML onrf`fi, XLKhrndacsc srnrnd ofrf hrndacsy`a nft`ncinsfcf sa`ar.

    Haz dar`atria mnvrnsf (haz mnmndtr), ayc hrndacstadf fdf ofrf farntfc (X:vn Xf) haz hardcaea` efr d onrf`fif (Xn) rntfr. Haz mnmndtr d sfcya``nrfc tkp`ai vn hard hrndacsef`nnc`nrfcf fnrfr. A`ad onfrnc szon (AO\), sfcya`fc samnln a`ad hrndacs ef`nnc`nrfcf onfrfr.

    Ofrf farntfcfc hrndacscc md hrndacs`armac ftfearnc arttr`mc mcn`fi. d farntfhrndacscc ofrf farntf hrndacsca mkru mnfinyn zkr`acm e`on k`ac ndin e`onsfcfc a`tuluca u`a`mcma XL dkctrk` onrf`fif, mnvrncfc yapsca ea` k`arad cnoatfh vnya pkzftfh efr

    mnnrn srar. Ofrf farntf hrndacscc euramac yacf h1hrndacscmac maga ma arttr`ias ga`fcmn, XLdkctrk` onrf`fif ndf` =.7mndf mnffif fz`nr (sttndf mnffi) vn h5 hrndacscma df`ft`f da`aef`ine`onsfcfc st scrca u`a`r. Dkctrk` onrf`fif shra mnr vn ksf`atr mn sa`ci hrndacscmaa`iaya mnvai nmnr.

    Xn

    XLXk

    Hazmnmndtr

    A`adonfrnc hf`trn

    ydsn`tn

    XLK

    Ofrf hf+hkhf-hk

    hf-hk d

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    ?:

    XL

    h1 hk h5

    h= hk h

    Eu ea`act tr`nrfcfc mnffd ac`ai vn zn``fd`nrf varmr. \nrf szl onrf ens`nin sfcya`fcfc ofrfsfcya`f f`n snrf ea`acmc, para`n` szl onrf ens`nin sfcya`fcfc ofrf sfcya`f f`n para`n`ea`acmc, onrf`fi szl onrf ens`nin mnvrnsfcfc ofrffcn d onrf`fifcfc ea`acmc, adi

    szl fsn onrf ens`nin mnvrnsfcfc ofrffcn d adicc efr dsicc ofrmffcf ostnrfr.

    Zara`n` onrf ens`nin`f mnvrn`nrmn ofrf nipnmacs md, adi onrf ens`nin`f mnvrn`nrmn dnipnmacs ydsnd, snrf onrf ens`nin`f mnvrn`nrmn ofrf mfrnclf ydsnd vn onrf`fi ens`nin`fmnvrn`nrmn d nipnmacs md zn``fd`nr ostnrfr.

    Vdsn`tn`nrmn oncn``fd`n ofrf nipnmacscc ydsnd, d nipnmacscc md k`ias fstncfr.Eu mncnc`n snrf vn onrf`fi onrf ens`nin du``ac`arad sa`acr.

    ndf` >.5mnonrf ens`nin mnvrn`nrf or`indtnmfr.

    ndf` >.5Onrf ens`nin mnvrn`nrf

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    ?8

    \nrf Onrf`fi Onrf Ens`nin2

    ndf` >..

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    ??

    mnnrf f`n arp`ias f`n eu`ucur df euma ydsnd mnnr`nrmfr.

    Mnvrncfc d nipnmacs fsn2

    Xs9: X yap`arad F adi adalad ndf`mn X onrf`fif uyou`acarad eu`ucur.

    k`arad eu`ucur. Or`m ofef mnvrncfc d nipnmacs onrf ens`ninsfz d nipnmacscc

    damar aza`i ga`fmfr.

    Zara`n` Onrf`fi Onrf Ens`nin2

    ndf` >.=mnpara`n` onrf`fi onrf ens`nin mnvrnsfcfc niatff ostnrf`indtnmfr.

    ndf` >.=Zara`n` onrf`fi onrf ens`nin mnvrnsf.

    Eu mnvrncfc onrf ens`nin`f dazacl2

    eu`ucur.

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    ?7

    Mnvrncfc ofrf nipnmacs fsn2

    k`arad yaz`r. Or`m ofef onrf ens`ninsfz ofrf nipnmacscc

    mnnrfcn e`cinsf f`n eu`ucur. Eu ma md mnnr`nrmfr.

    Mnvrncfc d nipnmacs fsn2

    k`arad eu`ucur.

    Or`m ofef mnvrncfc d nipnmacs onrf ens`ninsfz d nipnmacsc damar aza`iga`fmfr.

    \nrf Adi Onrf Ens`nin2

    ndf` >.>mnsnrf adi onrf ens`nin mnvrnsfcfc niatff ostnrf`indtnmfr.

    ndf` >.>\nrf adi onrf ens`nin mnvrnsf.

    Eu mnvrncfc onrf ens`nin`f dazacl2

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    ?6

    Mnvrncfc ofrf nipnmacs fsn2

    k`arad yaz`r. Or`m ofef onrf ens`ninsfz ofrf nipnmacscc mnnrf f`narp`ias f`n eu`ucur. Eu ma ydsnd efr mnnrmfr.

    Mnvrncfc d nipnmacs fsn2

    )1(

    )1(

    :

    :

    :::

    ARF

    XR

    XFAR

    FAR

    XAX

    R

    XAX

    R

    XF

    kh

    hf

    Or`m ofef,

    k`arad eu`ucur. Or`m ofef mnvrncfc d nipnmacs onrf ens`ninsfz d

    nipnmacsc damar arti ga`fmfr. d nipnmacs ydsn`indtnmfr.

    Zara`n` Adi Onrf Ens`nin2

    ndf` >.8mapara`n` adi ens`nin mnvrnsfcfc niatff ostnrf`indtnmfr.

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    7:

    ndf` >.8Zara`n` adi onrf ens`nin mnvrnsf.

    Eu mnvrncfc onrf ens`nin`f dazacl2

    Mnvrncfc ofrf nipnmacs fsn2

    k`arad yaz`r. Or`m ofefRfh, onrf ens`ninsfz ofrf nipnmacscc mnnrfcn e`cinsf f`neu`ucur. Eu ma md efr mnnrmfr.

    Mnvrncfc d nipnmacs fsn2

    k`arad eu`ucur.

    Or`m ofef onrf ens`nin`f mnvrncfc d nipnmacs, onrf ens`ninsfz d nipnmacscdamar arti ga`fmfr.

    Onrfens`nincfc ofrf vn d nipnmacs`arca ntdfsf aamadf tae`kma znt`nciftfr2

    )(

    )1(:artar

    AR

    (aza`r) A

    R

    1:

    (aza`r)

    )(

    )1(:artar

    AR

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    71

    UCND2 a) 9 -:.1 vn e) 9 -:.> onrfens`ninsf ffc A9-1::, Uf91:: d, Uk95: dmnnr`nrfcnsagfp snrf onrf`fi onrf ens`nin`f onrf`fi dazaclc, ofrf vn d nipnmacs`arc gnsap`aycz.

    RI2

    `of`f mncd`ni`nrf du``acarad4

    Euramadf zimnc maga fyf efr ofrf vn d nipnmacs ffc dazactac zvnrfmn eu`ucu`muuor`indtnmfr. Dazaclc 11mn 1 kraccma aza`t`iasca dar`d d mfrnclf mn ayc kracmaaza`i vn ofrf mfrnclf artitr. Onrf ens`nin f`n mfnr mnvrn zn``fd`nrfcf fyf`ntfrind amca

    invlut onrf`fi dazaclcc efr dsicmac vazonf`indtnmfr.

    Cnoatfh onrf ens`nincfc skcu`ar2

    1- Hrndacs ekzu`iascc aza`t`ias2 A331 k`ac efr ydsn`tntn onrfens`nin`f dazacAh91/mr. Euramac, onrfens`nin mnvrnsfcfc taiainc mfrc`nrmnc yap`i k`ias ga`fcmn tnin`ydsn`tn dazacl hrndacsa ea` k`sa ef`n onrfens`nin`f dazaclc hrndacsa ea` k`iam krtayadar. Zratfdtn hrndacsa ea` k`arad mnfnc ydsn`tn dazacl cnmncfy`n krtaay dac hrndacsekzu`ias, cnoatfh onrfens`nin`f efr ydsn`tn mnvrnsfcmn cni`f `mn aza`r.

    5- Or`t vn mkrusa` k`iayac ekzu`iacc aza`ias2\fcya` onrfens`ninsf or`t sfcya`fcfc(o dayca vc`aias ofef) vn mkrusa` k`iayac ekzu`iacc ifdtarc aza`tia nf`fif ostnrfr.(1+ A) hadtr, gni ofrf or`tsc gni mn mkrusa` k`iayac ekzu`iay cni`f `mnaza`tarad en`frofc efr fyf`nin sa`ar. Aclad tkp`ai dazaclc ma aza`mc en`frtind onrndfr(mnvrncfc vnrfifcf artriad ffc mncnc enmn`).

    Dazacl onrfens`ninsfzmznyn dariad ffc f`avn dat`arc du``ac`ias ga`fcmn sfstninonrfens`nin ydsn`tnlfcfc aza`tt damar or`t nd`ncnlnf ucutu`iaia`mr. Maga ydsnd efr

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    75

    dazac vn maga az or`t rntnlnd ndf`mn onrfens`nin`f ydsn`tn mnvrnsfcfc dazaclc yncfmncayar`aiad surntfy`n eu prke`ni efr `mn a`aef`fr.

    .?, gnoatfh onrfens`nin`f ydsn`tnlfc onrfens`ninsfz ydsn`tntnc (E) maga eyd eacm

    oncf`ffcn (Eh) sagfp k`muucu ostnrindtnmfr.

    ndf` >.? Cnoatfh onrf ens`nincfc dazac vn eacm oncf`ffcn ntdfsf

    Or`m ofef st < mE hrndacs ffc cnoatfh onrf ens`nin`f ydsn`tn mnvrnsfcmn dazac mdk`muu ffc eacm oncf`ff artiadtamr.

    =- Onrfens`nin`f dazac darar``2 Onrf ens`nin`f ydsn`tnlfc darar`` f`n onrf ens`ninsfzk`acc darar`` arascma cas` efr f`fdf k`muucu en`fr`nind mn hayma` k`aladtr. Onrf ens`ninmncd`nifcfc trnvf a`crsa4

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    7.7) U197: d, U595: d, Uk9UM91: d vn oi9= i\k`muuca orn onrfens`ninsfz vn onrf ens`nin`f dazac`ar gnsap`aycz.

    ndf` >.7HN]`f snrf-onrf`fi onrfens`ninsf

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    7=

    Onrf ens`ninsfz ydsn`tn dazacl2

    d mfrnclf U@2

    Onrfens`nin mnvrnsfcfc onrfens`nin hadtr2

    Onrfens`nin dazacl2

    ?=1 f`n \nrf onrf`fi onrf ens`ninyn rcnd

    ndf` >.6f`nisn` ydsn`tn du``acac snrf onrf`fi onrfens`nin ea`actsc ostnrindtnmfr. U191.7d, U595:: vn f`nisn` ydsn`tnlfc ad nvrfi dazacl A9-1::.::: k`muuca orn ydsn`tnlfcdazaclc gnsap`aycz.

    ndf` >.6Kp-Aip` snrf onrf`fi onrfens`ninsf

    9 1:d // 1:d//1::d > d

    -1:

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    7>

    EB]`f snrf onrf`fi onrfens`ninsf2

    Nintr fz`nyflf (krtad dk``ndtr`) mnvrnmn (ndf` >.1:) snrf onrf`fi onrfens`ninsf du``ac`itr. Xkd onrf`fif ayc zaiacma ofrf onrf`fifcn snrf k`arad onrf ens`ncnc onrf`fimfr.

    ndf` >.1:EB]`f snrf-onrf`fi onrfens`ninsf

    Onrfens`ninsfz muruima dazac (onrfens`ninsfz muruima Xh9: X)4

    Onrfens`nin paraintrnsf2

    Onrfens`nin`f muruima dazac4

    1 n`mn nmf`fr

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    78

    EB]`f snrf adi onrf ens`ninsf2

    Mfnr efr onrf ens`nin tndcff mn d adicmac (Fk) rcnd a`iad vn ofrfn snrf k`arad ea`aiadtr.\nrf adi onrf ens`ninsf ydsn`tnlfc dazaclc darar` ga`n ontfrfr, hadat ofrf mfrnclfcf artrr.

    ndf` >.11mndfEB]`f ydsn`tn mnvrnsfcfc nintr dpr`ncinmff ffc onrf ens`nin tfpf snrf adionrf ens`ninsfmfr. UN mfrnclfcmnc adac adi, uyou`acac daycad sfcya`fcfc tnrsf yccmn efronrfens`nin onrf`fifcn cnmnc k`ur, mk`aysy`a Xk d onrf`fif aza`r. \nrf adi onrf ens`ninsfcfkrtamac da`mriad ffc ya UNmfrnclf da`mr`ia` ya ma dkcmacsatr f`n dpr`ncin`fmfr.

    (a) (e)

    ndf` >.11 (a)\nrf adi onrf ens`nin`f ydsn`tn mnvrnsf, (e)Onrf ens`ninsfz murui ffc gferftnmnnrf.

    UCND2 Vudarmadf onrf ens`nin mnvrnsfcmn UE9=?: d, Ul95.5 d, L19:.> H, UN9>1: ,ghn915: vn gfn96:: k`muuca orn onrf ens`nin`f muruima onrf`fi dazaclc, ofrf vn dnipnmacs`arc eu`ucuz.

    RI2

    Onrf ens`ninsfz muruima4

    9 ->1:

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    7?

    Ofrf vn d nipnmacs`ar2

    Rf9 UE// gfngfn96::

    Rk9 Ul95.5 d

    Onrf ens`nin`f muruima2

    Onrf`fi dazacl2

    5>.=)1:5.5)(1:6

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    77

    Onrf ens`nin`f dazac4

    Onrf ens`nin onrf`fi dazacl2

    HN]`f para`n` onrf`fi onrf ens`ninsf2

    ndf` >.1.1< (a)HN]`f para`n` onrf`fi onrf ens`nin`f ydsn`tn mnvrnsf, (e)nmnnr mnvrnsf

    Onrf ens`nin mfrnclf ea` mnf`dnc onrf ens`ninsfz dazac (Fs9Ff), krtad daycad` mnvrncfc dazaclf`n mfrnclfcfc arpica nfttfr.

    Onrf ens`ninsfz dazac (MDDA]2 Onrf`fi dazacl mnf`)

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    76

    Onrf ens`nin hadtr4

    Onrf ens`nin dazacl2

    Onrf ens`nin onrf`fi dazacl2

    UCND2Vudarmadf mnvrnmn oi9> i\, UM9>.1 d, UH95: dk`muuca orn onrf ens`ninsfz vnonrf ens`nin`f onrf`fi dazac`arc gnsap`aycz.

    RI2

    Onrf ens`ninsfz onrf`fi dazacl2

    Onrf ens`nin`f muruima onrf`fi dazacl2

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    6:

    8. K\@A]U@NU

    ML onrf`fif fstncf`nc hrndacsta farnt`nrn mctrnc mnvrn`nrn ksf`atr mncfr. Mfnr efr mnyf`nksf`atr`nr ayar`acm hrndacsta ya ma saeft efr hrndacsta srnd`f d vnrnc mnvrn`nrmfr. Eazdaycad`arma "sa`coa" k`arad ma fsfi`ncmfrf`indtnmfr. ML onrf`fi daycad`ar f`n ens`ncfr`nr.

    Gatr`acala znrn, cnoatfh onrf ens`ninmn dtadf sfcya`fc efr dsic "tnrs" nvfrfp tndrarydsn`tnlfc ofrffcn ea`ykrmud. \kcuta maga az d snvfynsf aia maga az or`t vn maga haz`aeact oncf`ff n`mn nmfykrmud. Zkzftfh onrf ens`ninmn fsn dc efr dsic eu dnz, ofrf`n aychazma yacf ofrftndf sfcya`f mnstnd`nynlnd ycmn vnrfykruz. Eu ndf`mndf efr mnvrncfc dcmacsrnd`f efr or`t n`mn nmnrfz. Vacf dta gnr tr` sfcya` varmr. Nnr efr ksf`atr yapiad fstnrsndmnvrncfc dca efr "rnzkcacs mnvrnsf" dkyup eu sfcya``nrmnc efr tacnsfcf mar a`r mfnr`nrfcf ykdnmnrfz. N`mn nttffifz eu tnd hrndacsc efr dsic pkzftfh onrf ens`nin k`arad ydsn`tnlfc ofrffcn

    ea`amizma efr ksf`atr n`mn nmnrfz.

    Eu ea`aima, efr ksf`atr mnvrnsf4 ksf`asykcu ea`atac rnzkcacs mnvrnsf, ydsn`tn vn onrfens`nindat`arcmac k`uiadtamr. ]nin` ksf`atr mnvrn`nrfcmnc sfcskfma` d a`cr. Hadat d`arcmadarn, onc v.e ma`oa effi`nrf n`mn nmf`nef`nc ksf`atr tasari ma yap`aef`fr. Ksf`atr`nr4 du``aciaia`ar vn zn``fd`nrfcn ea` k`arad nft`f ndf``nrmn tasar`acaef`fr`nr. Ksf`asykcuc ea`aiascsa`ayac rnzkcacs mnvrn`nrf oncn``fd`n4 U-L vnya U-@ pasfh mnvrn n`niac`arcma k`uur. Aamapkp`nr vn yayoc du``aci a`ac`ar eu`ucac eaz ksf`atr tfp`nrf sra`acitr.

    UL Haz Daymria` Ksf`atr

    _fnc Dpr Ksf`atr @L Ksf`atr`nr

    1. Dk`pfts Ksf`atr

    5. Gart`ny Ksf`atr

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    61

    srnd`f`ff ffc onrnd`fmfr. Ksf`asykcuc ea`aias fsn U-L mnvrn`nrf f`n onrnd`ntfrf`fr. Ksf`asykcf`nif ffc efr dkcmacsatrc arb vn mnarb srnsfcmnc hayma`ac`r.

    ndf` 8.1Krtad nintr` ydsn`tn mnvrnsf

    Vdsn`tn d onrf`fifcf ofrfn onrf ens`nynrnd ksf`asykc n`mn nmnef`ind ffc, d farntfcf 17:khaz daymriad onrndindtnmfr. UL haz daymria` ksf`atr mnvrnsfcfc tnin` prncsfef eu artamayaciadtamr. ndf` 8.5mn UL haz daymria` ksf`atr mnvrnsf vnrf`iftfr. Mnvrn mfddat`flnfcln`ncmffcmn d farntfcfc efr dsi UL onrf ens`nin n`niac`ar f`n ofrfn onrf ens`nciftfr.

    Gnr efr UL glrnsf4 d farntfcfc efr dsic 8:khaz daymriadtamr. d f`n ofrf arascma < amnthaz daymria mnvrnsf du``ac`itr. Mk`aysy`a d farntfcfc haz 17:kdaymr`arad ofrfn pkzftfhonrf ens`nin yap`itr.

    ndf` 8.5UL haz daymria` ksf`atr mnvrnsf

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    65

    Gnr efr UL mnvrnsfcfc 8:k haz daymrias fstncfrsn U19U59Uo vn L19L59L< k`arad snf`in`fmfr.Uo, krtad niftnr`f ydsn`tnlfc ofrf nipnmacsmr.

    Ofrf nipnmacscc U1 vn U5'yn nft k`ias onrndindtnmfr. Eu art`ar sa`acm zaiac, dfarntfcfc hrndacs aamadf hkri` yarmi f`n eu`ucur.

    Ksf`asykc`arc onc`ff, onrfens`nin kracca vn ydsn`tnlfc dazaclca ea`mr. Onrfens`nin kracsnrf UL mnvrn`nrfcfc tkp`ai nipnmacsca ea`mr. Eu nipnmacs arttda onrfens`nin krac mnlndvn d farntfcfc (ksf`asykcuc) onc`ff aza`aladtr. Haz daymria` ksf`atr mnvrnsfcfc tai efr

    niatff ndf` 8.

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    6'mnefr _fnc dpr mnvrnsf or`indtnmfr.

    ndf` 8.>_fnc dpr mnvrnsf

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    8.5.5 _fnc dpr` ksf`atr

    ndf` 8.8'maor`nc _fnc Dpr` Ksf`atr mnvrnsfmfr.

    ndf` 8.8_fnc Dpr` ksf`atr mnvrnsf

    Q1 vn Q5 tracsfstr`nrf f`n k`uturu`ac gnr fdf ydsn`tn dat efr nvfrinync ydsn`tn k`arad ornvyapar. Z pktacsfykintrnsf ksf`atr d onrf`fif X'cfc efr dsicc ofrfn onrf ens`ncinsfcmndu``ac`r.

    _fnc dpr ksf`atrcc zayh`atia datsays ydsn`tn f`n dkipaczn nmf`fr. Ksf`atr mnvrnsfcmndf Zmfrnclf ayar`acarad, mnvrncfc ea`aco ksf`asykcu dkctrk` nmf`fr. Onrf ens`nin tnd efr hrndacstak`uur. Ea`aco ksf`asykcucuc ayar`acias f`n, ksf`atr dcma sfcskfma` efr farnt n`mn nmf`fr.N`mn nmf`nc eu farntfc hrndacs fsn mnvrnmn du``ac`ac U vn L n`niac`arca ea`mr.

    8.5.< Kp-Aip` _fnc Dpr ksf`atr

    ndf` 8.?mndf Kp-aip` _fnc Dpr Ksf`atr mnvrnsfcmn hrndacs en`fr`nync n`niac`ar U1, U5mfrnc`nrf f`n L1 vn L5 dkcmacsatr`nrfmfr. U< vn U= mfrnc`nrf onrf ens`nin yk`ucuc efr parasck`uturur`ar. Vdsn`tnlfc d, a vn l ckdta`arcma dpr ofrff k`arad ea`acitr. Dpr

    mnvrnsfcfc e vn m ckdta`ar arascmadf d, kp-aipc ofrffmfr. Dpr mnvrnsfcfc aca`fzfskculucma4

    U19U5 vn L19L59L k`ias muruiucma4

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    ndf` 8.?Kp-aip` _fnc Dpr Ksf`atr Mnvrnsf

    UCND2

    Aamadf _fnc Dpr Ksf`atr mnvrnsfcfc rnzkcacs hrndacsc gnsap`aycz.

    RI2

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    8.< @L K\@A]U@NU

    Unzkcacs mnvrnsf efr ekefc vn dkcmacsatrmnc (@L) k`uac ksf`atr`nrn @L ksf`atrmncfr. @L

    ksf`atr`nrfc mn tr`nrf varmr. ndf` 8.7mnnc kd du``ac`ac tfp @L ksf`atr or`indtnmfr.

    ndf` 8.7@L ksf`atr tfp`nrf

    ndf` 8.7mnc mn or`m ofef, Lk`pftts ksf`atr onrf ens`ninsfcf dapasftfh efr onrf`fi e`lmnca`iadtamr. Gart`ny ksf`atr onrf ens`ninsfcf ncmdtfh efr onrf`fi e`lmnc a`iadtamr. Aistrkcoksf`atr fsn onrf ens`ninsfcf trahkcuc sndkcmnr saroscmac a`iadtamr.

    8.

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    Mnvrncfc a`ias dsala y`nmfr2 Ksf`atr mnvrnsfcmn Q1 tracsfstr krtad enyz`f efr ydsn`tnk`arad a`r. @1, L5 vn L< rnzkcacs mnvrnsf yd nipnmacsmr. Ksf`atr mnvrnsfcfc nipnmacs vnaip`fhfdasykcu rnzkcacs hrndacscma ydsndtfr.

    Vdsn`tn d farntfcfc efr dsi, niftnrn onrf ens`ncmffcmn4 mnvrn ksf`asykc yapiaya ea`ar.Onrfens`nincfc ifdtar (krac), L5 vn L< dkcmacsatr`nrfcfc arascmadf krac`a en`fr`ncfr. Onrfens`nin ddsn, niftnr onrf`fif ofef dk``ndtr adi ma sfcskfma` hkrima k`aladtr.

    8.

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    Efr duvars drfsta`fcn easc uyou`arsad fdf dncar arascma efr onrf`fi k`uur. Duvars encznrfiammn`nr`n yap`i adiad`ar euca efr rcndtfr. Efr duvars drfsta`fcn ML onrf`fi uyou`arsad eudnz mn eurdu`ur. ]nrsf efr onrf`fi uyou`arsad mfnr ycmn eurdu`ur. AL efr onrf`fi uyou`arsad,

    uyou`acac AL onrf`fifc hrndacscma gnr fdf ycn eurdu`ur yacf tftrnfr. ^you`acac AL onrf`fifihrndacs, drfsta`fc rnzkcacs hrndacscma fsn k zaiac nc eyd tftrnfi n`mn nmf`fr. Drfsta`fc sniek`ndf` 8.11mnvnrf`indtnmfr.

    ndf` 8.11Duvarsc sniek`

    Vudarma ac`at`m ofef drfsta`fc garndnt`nrf indacfdtfr. Eu indacfd garndntf sa`ayac drfsta`fcn`ndtrfdsn` ikmn`f fsn ndf` 8.15mnostnrf`indtnmfr.

    ndf` 8.15Drfsta`fc n`ndtrfdsn` ikmn`f

    N`ndtrfdsn` ikmn`fc sk` tarah efr snrf rnzkcacs mnvrnsfmfr. Eu snrf dsi drfsta`fc gf efr ea`act uluk`iayac ga`fcf tnisf` nmnr. \a tarahtadf Lb fsn drfsta`fc ea`act n`ndtrkt`ar f`n n`ndtrkt`arn`ndtrkcfd mnvrnyn ea`ayac ea`act tn``nrf arascmadf dapasftnyf tnisf` nmnr. Zfnzkn`ndtrfddrfsta``nrfc Q mnnr`nrf 5:::: ofef kd ydsnd mnnr`nr a`r. Eu mnvrnmn @ vn L, drfsta`fc rnzkcacshrndacsc en`fr`nr. U mfrnclf fsn drfsta`fc indacfd sa`cica yapt mfrncinmfr. U mfrnclf fgia`nmf`frsn snrf dsic rnzkcacs hrndacs4

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    Lb dkcmacsatrcc mnnrf fsn snrf rnzkcacs dsicmadf dkcmacsatrmnc kd eydtr. Efr rcndvnrnlnd k`ursad, tfpfd efr drfsta`mn L9:,:5> pH vn Lb9 pHmr. Eu muruima drfsta`fc para`n` mnvrnk`arad rnzkcacs hrndacs4

    Zara`n` rnzkcacsta k`uac hrndacs, snrf rnzkcacsta k`uac hrndacstac efraz maga ydsndtfr. ]fpfd

    k`arad snrf rnzkcacs hrndacs para`n` rnzkcacs hrndacscc :,6 dat maga mmr. Drfsta`f para`n`rnzkcacsta a`triacc efr avactab varmr. Lb dkcmacsatr drfsta`fc ea`act`ar f`n f`of`f k`muuffc drfsta`n marmac ayar` efr dkcmacsatr tadarad (trfinr dkcmacsatr) hrndacs kd az aa yama yudar ndind iidcmr. Eu mnffi kd haz`a k`iaiad dku`u f`n fcln ayar ffc kdadu``ac`r.

    Drfsta` efr dt`nyn sagfptfr. Eu cnmnc`n scm ya ma skumuu zaiac galif mk`aysy`a hrndacsmnffr. Eu mnffi az k`iasca rainc gassas mnvrn`nrmn fstncinz. Fsya ea` hrndacs dayiascc`nind ffc drfsta``nr saeft sma a`tr`r. \aeft s, ffcmn drfsta` vn tnrikstat` stl eu`ucacdd hrc`ar`a sa`acr.

    8.=.1 \nrf rnzkcacs mnvrn`f drfsta``f ksf`atr

    ndf` 8.1

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    1::

    ndf` 8.1

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    1:1

    Efr drfsta`fc para`n` rnzkcacsta nipnmacs iaxfiui k`muu ffc ndf` 8.1>mn ostnrf`mff ofefmnvrnyn para`n` ea`acr. Zara`n` rnzkcacs hrndacscma drfsta`fc nipnmacs ydsnd k`muu ffcznrfcmndf onrf`fi mi mn iadsfiui k`ur.

    ndf` 8.1>Zara`n` Unzkcacs Mnvrnsf K`arad a`ac Drfsta` Dkctrk`` Ksf`atr Mnvrnsf

    8.=.< Kp-Aip` drfsta` ksf`atr

    Md hrndacs`arma drfsta` ksf`atr`nrn efr rcnd k`arad f`nisn` ydsn`tn`f mnvrnyf (ndf` 8.18)vnrnef`frfz.

    ndf` 8.18Kp-aip '` Drfsta` Dkctrk`` Ksf`atr Mnvrnsf

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    Eu mnvrnmn drfsta`, onrf ens`nin yk`uca snrf ea`acitr. Mk`aysy`a drfsta`, snrf rnzkcacshrndacscma a`r. Eu mnvrncfc dcmac darn ma`oa a`cr. ]ai k`arad zncnr onrf`fifcmn donc`ffcf sa`aiad ffc da efr fht zncnr ea`acitr.

    8.=.= Kvnrtkcn pfnzkn`ndtrfd drfsta`

    Efr drfsta` ksf`atrc dnsfi effif, drfsta`fc a`ia hrndacs f`n mkrumac f`fdf`fmfr. Eucmac mk`aydrfsta``nr fdf tr dnsf`nrnd rntf`fr`nr. Efrfclfsf aca hrndacs rntnc drfsta``nr. Eu tr drfsta``nr oncn`k`arad nc kd >: IGzn damar yap`r. dfclfsf fsn aca hrndacscc znrfcmn a`ac drfsta``nr (kvnrtkcn). Kvnr tkcn drfsta``nr nc az >: IGz ya ma maga znrf hrndacsta a`alad ndf`mn rntf`fr. Kvnrtkcn drfsta``nr, aca hrndacsta a`ac efr drfsta`fc da`c`cmac maga haz`a da`c`a sagfptfr. rcnfc5: IGzmn a`ac efr drfsta` 1 ii da`c`cma k`suc.