177

Industrial Electronics Theory

Embed Size (px)

DESCRIPTION

industrial electronics

Citation preview

  • WOUM UOdJWUMB rK

    _ e?'

    uU _ n?BKwUMB dH

    uHR*

    5DK WwUF rOKF WOd

    V U UOdJ UIM b UN UdNJK UIM g dUqUL dOI nu WFd s1WOU UL o( b qU wuA rU

    ZUM* ed b rOd

  • WOd v_ WFD?

    ZUM* edwUF rOKF WOd u WuH l?D uI lOL WMb* ed WN s 5LO vK U bUF* U uOB* w ZUM* ed

    5DK tK fU uHK

    [email protected] wdJ uMF www.pcdc.edu.ps WOdJ WHB

    5DK W w wUF rOKF WOd d wb UFK UNb w WOUMB UOdJ U fb

    ZUM* e?d hL(u dL ud d

    UF d? hL( u rOF ZUM* W?M' fOz

    5U ZUM* ed U db

    WOMH dzb U?d b?z d?

    wudI UA UL ou UJ U' b r?OL?B u? bL? WUDK Vu; b

    wUMB dH wMI wMN* rOKF UNM* WCdF uD) b wMu odH WOUM UOdJ hB

    Ue wK dOI nu o( U bOF

  • bONL VFA UuL oOI WOMODKH WOuB) wd UNM l{ d{ wUF rOKF WOd VFAK WOMu UO UM U LN UU bF wMODK UNM UM uFA 5 tUJ cQ v wMODKH UN w Wb* WdA uLK WOLM wU ou WOdI1b rOI aOd UU wMODKH

    uK WOL) WD) U u wu c lL* b oI UN s w rOKFK WOzd WKOu t w UNM* WOL sLJ VUD rKF* bO v_ _ rKFK jOu bB* t_ UNM* dUM b wb* UJU WU WUM jzUu s UdO d_ rKF WOK; WUI uU( Xd rKF qzU s dO v WU{

    bU* VJ wMN* wMI rOKF UNM* UND s v_ WKd* oOD UF c u d lOMB qOLweM* UBwbMH U we wUMB tdH uU _ nB UN qI* UF w uU wU nB UNM V UNFO wKL dE UU VJ bf* qLF uHBK UF rOKFK WOb* VJ lOL b XKL b wUF rOKF WOd uJ ZUM* WOKOK% WO1uI U qL wdJ rOKF UJA U w WO WOM lOu vK UOU u

    wMODKH rOKF WOu 5% ud duD WKu* UuL UOI YU* lOL w qd* eO UU UI Ub v dA b_ uHBK e$ w rKF* W WOb* VJ bF dOu wIDM qN uKQ X{d UuKF UF s tOK qLA U0 rKF rOKF WOKL w WOU .uI VOU WDA_ qzUu fb ozdD qB W{ dR sLC WuM d

    uc* WOL) WD) U l UNb uuI sc ULKF* 5LKF* 5ud WUA0 U uM Ud UNOIM VJ WFd r bI w dOG l w duD qbFK WKU WOd& UF WFd v v_ s UFD u d s uN s tO c U bI0 e wMODKH wb* UJ WLO UO( UN wuuMJ wLKF rOKF w U du dOOG ub sc WOb* VJ b U w 5BB* s sJ2 b d WUA su wd w d nOQ wU w ZUM* ed UN WONM0 WFd* s WFu UOKLF s

    bOu vK qLF c WOb ULEM* UR* v dbI dJA qe bI UNF wUF rOKF WOd

    ZUM* dA* wU* UNLb UJOK WuJ WU WIbB WOdF b UK s wU wMu qLF c U$ w XU w WOMu Wud UHJU dH u UL qLA tFu V yq eOL* ruN rNUA vK rdJA WOb* VJ bS uI w Wud 5LLB* qLF Uu 5UA* sd; 5HR* d ZUM*ed Wu ZUM* U'

    oOD UM bO* s WOb* VJ d w 5UA* 5FUD 5Fd* 5UdwUF rOKF WOd

    ZUM* e?d uK

  • WbI t vK bL UbO sOKdL oK d vK B sOLUF tK bL

    bF sOFL t

    - b _ e' uU _ nBK WOUMB UOdJ hB dEM UJ u cN

    rOUH* d w b Ud - hB cN b w WCdF uD) V bu nOQ

    UNLN UNUFO s VUD sJLO

    ULOUH wDG b s WuL v b q XL WOOz b l v UJ r

    v u* rOI Wc WdEM s b UdNJ UOU vK eOd - v_ bu wH b

    bu w U UOdJ_ rK w WKu* t WOL UO WU t u WU u WKu u

    rOUH Xd dO_ b w udO uU WDO WOzUdNJ b dF - WOU

    WOzUdNJ UL_ U WOHO UFu* bI WUD

    eOd WOzUdNJ u; UM* UO dL* UO U dF - bI WU bu w U

    qL WFO UC UFu* UHK* s q w WODuH UO W udO uU rN vK

    u; UH b WODuH UO 5 WF wzUdNJ u;

    tK v dD - YO UOzUM v qbL WKu* t u* .bI - WFd bu w

    qL .bI - pc WDO UOzUM wJF wU_ UO d UOzUM hzUB

    dL UO v UM* UO qu% w UNM UH UM* UO dz w UOzUM

    WOK w UMLN b uJ tK udM 5LKF* 5bMN* UMz b 5 bN' c lC UM

    Q qQ pc WOd& WF c S tH Xu w WKU uB lO{u* WODG w rNUU

    UNM* u d eF UNQ s w rJUE rJUdU UMOK uK

    uHR*

    oOu w tK

  • U???u??;

    WFd

    bu

    W

    U b

    u

    WOU

    bu

    v

    _ b

    u

    UdNJ UOU

    WMU UdNJ Wc WdEM wzUdNJ bN UO uF uL WOzUdNJ WUIL WOzUdNJ b

    dL* UO

    WOzUdNJ WUIL uU WOzUdNJ bI WUD udO sOu UFuL

    UM* UO

    WOOUMGdNJ UML UOK WOU_ UL UML UO qOK UHKL uL

    UOzUM

    WKuL t uL UOzUM ruI

  • b???????????????uU???????O???????U??????? U??????d??????N??????J??????

  • WMU UdNJ Wc WdEM w b YO UdNJ rK w WU WOL WdEM cN Wc WdEM WIU p w XUM

    WHKL tdOQ wzUdNJ UO Ud uLK WOzUdNJ hzUB dOH

    UNOd c dUMF s UNOd w nK t WU dBM qJ UL UM b w(Atom) c?? c uJU 10 24 s uJ UM s VFJ dLM b YO b dOG cd_

    UuJ qJA `{u w UL qO vK b w UdJ UNu b UO WKOI u s

    udJ

    (NUCLEUS) uM qJA w `{u u UL c u u

    WOU ULO s

    c UuJ qJA

    (Protons) Uud Wu WOzUdN WM qL ULO w

    (Neutrons) UduOM WUF WOzUdN WM qL ULO w

    (Electrons) UdJ U bIL YO s ud WMA WU WU WOzUdN WM qL b WHOH ULO w

    UI qJ vK b w uM u UdJ b (1.6 x10- 19 c)

    uM u UdJ lu n?K UNM dBM q suJ U UNUH UN YO s UNCF s dUMF nK

    b w bL b U UNUdJ UNUduO UNUud b w d dBM s dBM

    uB WF bL c s b qJ c UdJ b vK bLFO uM u UdJ UNO

    WF uBI tF s q UdJ s b b w bu sJL sJ UdJ s

    wK UL w b qJ uBI

    b???????????????

  • UM qJA

    RUJ b

    dJ 2_ bLdJ 8wU bL

    dJ 18YU bLdJ 32ld bL

    uUIU b??? q??J?? U??d????J?? s?? u??B??I?? W??F???? v??D??F??

    wU

    2N2 bL w UdJ s uBI WF

    bL r (N)YO

    vK UNu u YO UM c bUIK UL

    qJA w sO u UL duO sdA l ud sdA l

    tF TKL _ bL b qJA w sFLU

    uBI tF TKL wU? bL dJ 2 w uBI

    18 w uBI tF vKL YU bL dJ 8 w

    jI b dJ vK u dO_ ld bL U dJ

    UdJ 32 w uBI tF _ UOK TKL dO t

    c w UdJ S?? wUU(Valence)RUJ b?? c?? w wUdO_ bL vL

    rK w WU dO WOL RUJ UdJ (Valence Electrons )RUJ UdJ vL bL

    WuN Udd sJL w UdJ UN_UdNJ

    ( Free Electons) d( UdJ pK s UNb bF vK bLF c uI WODI WuL uM l WODI WU UdJ jd

    u XU uM s bL bF ULK d ULNMO c u XU uM s Ud bL U ULKJ uM

    dJ_ V vK b w b U ULK d dJ_ WU uJ d WOU s q c

    Wd d `B XKH vK b v b s qIM tS WOU{ WU

    bF_ w?? RUJ UdJ

    q v?? dF wUU u??M?? s

    uM s c u

    UM VOd w UMMFL

    k????q??J??A?? w?? sOL

    b?? UdJ u RUJ b??

    uM s dJ bF ujI

    d dJ

    d( UdJ qJA

  • d `B uM dDO s XKH sJL dJ cuM s c u q v dF uN wUU

    UJ wOUMG U q Wd q WOU{ WU V d sO UOzuA u

    cJ qJA k UL c UdJ l dUM u d uC wzUOLOJ qUH

    qF UL ULK c VOd sL{ u w d UdJ s u U pK s WFD S

    wzUdNJ UOK bO qu UM

    IONS - Uu_ UOzUdN WUF c uJ

    UNUdJ b uJ UbM

    U UNUud bF UU

    UdJ c c bI

    b `B d b

    b s d Wu* UNUud

    `B WU UNUdJ

    WOzUdN WMA WuA c

    WMA WuA `B UNS d b UdJ c X U Uu Uu czbM vL Wu

    b w U_ w Wu* WU Uu_ qJA kUU Uu czbM vL WU

    wzUdNJ UO WKu* WMQ* qOU;WOOdJ qOU; w UG w u wzUdN UO

    WOzUdNJ WMA WMU UdNJ dH WFD s UdJ iF pb qFH qBHM dH s WFDI UDL s VOC p bM

    sO w UdJ s izU UN WU UDL VOC WM `B cN UDL VOC c oK

    qJA w `{u u UL UdJ w hI UN Wu dH WFD WM `B

    Uu_ qJA

    pbU sA qJA

  • sOLO v dNE qJA

    dH W??FD w UMA UF

    UO v?? U??D??L?? VOC

    VU ` b UDL VOC

    X b dH WFD WMA

    sO cNWMA Wu

    WOzUdN WMA r s WOKL

    Wu WOzUdN WMA r s U r p v WU UdJ WU{ lu w w WU

    qJA kr p s UdJ e? lu w w

    uuJ UN UNbI w UdJ bF sOF r UNKL w WOzUdNJ WMA bI b

    tM uJ d UdJ X Wu tM uJ d UdJ t bI S r p

    uuJ ? WOzUdNJ WMA UO b dF WU

    s bF c VJ c r UdJ (6.25 x1018) UM uL U WLO w uuJ

    qL UdJ s bF c bIH c r uu(1) U WU WM qL UdJ

    uu(1) U Wu WM

    wzUdNJ U* WM dQ YO UN jOL ju w d b vK U UJ w uuL WOzUdNJ WMA qLF

    UOzUdN U UI czbMWOzUdN uI tO l{u WOzUdN

    WOL uD wzUdNJ UL qOL rju c w dR

    uD s j q qL wzUdNJ UL uD vL

    WMA c d WuL UMA b U UL

    UL uD rdUNOK UL UNUL w uI dOQ

    b vK U WIDM w uD c WU b YO wzUdNJ

    wK U wzUdNJ UL uD eOL r swzUdNJ UL

    qIWMA ed u tuD t wzUdNJ UL U WU WOzUdN WMA uAL r

    qJA k WMA s UbF ULK UNU

    WMA ed s tuD oKDM wzUdNJ UL U Wu WOzUdN WMA uAL r

    wzUdN UL WU WOzUdNJ UMA qJA

    WUFL WU WuL WMA uNH qJA

  • s UbF ULK UNU qI U v

    qJA kWMA

    w?????zU?????d?????N?????J????? U??????????L????? u??????D?????? ?

    lUI

    l UL uD qb qJA sO uD WNUAL UMA dUM v R UNCF

    UMqJA sO ULd_ s bF WM q U WOMU UOK UNCF l lUI ULULNCF UU Ud UMA U WOMUUOK ULNCF l UL qB UM WHK

    v R ULNMO WU u UM p vMFL WOzUdNJ UMA sO UU dUM UM UL

    vK UM WOzUdNJ uI vL WOzUdNJ UMA s WU uI c YO UNU UdUM

    s q bI l Ud UUM VUM sODI sOOzUdN sOM sO WUL WOzUdNJ uI S uu uU

    ULNMO WUL ld l UOJ sOMA

    b WK

    WUM* UF WLKJU dH

    UdJ UNu b UO WKOI u s uJ dBMF UM b w .................................

    .................. .................. .................. w WHK ULO W s c u uJ

    ........................duOM WM........................ ud WM........................ dJ WM

    ........................ c WM........................ uM WM

    vB b dJ YU dJ wU dJ cK _ bL u

    ....................................b cK dO_ bL vL .......................................................................................... dJ u d dJ

    UNUud bF ................................. UNUdJ b uJ UbM UOzUdN WUF c uJ

    ............... vL UdJ VJ w c ............. vL UdJ bIH w c

    UO b w U_ w ................. .................. S WOOdJ qOUL UG w

    wzUdNJ UO b w U_ w .................. S WKuL uL w ULMO wzUdNJ

    .................................WHKL UMA ................................. WNUAL UMA

    dJ (6.25x1018) UM uL U WOzUdNJ WMA UO b u ...............

    WHK* UMA U& WNUA* UMA dUM qJA

  • wzUdNJ bN' UO uF u*

    uF u* VK s quM c uJ WHK UUI u s qu WUu WOzUdNJ WUD lu qI r

    uL rI UuL UdNJK WU U s U G UdNJK WKu U s U VKIU

    w U W v wzUdNJ UOK UNKOu YO s

    (Conductors) WKu* u* wzUdNJ UO dL `L w uL w

    V ld UNu nKL UFL q Ud

    qzU b vK u YO c UNOd v p w

    u dOQ X WdK WKUI d UdJ s

    `{u ULWUD wzUdN bN bBL WOU

    qJA w

    WCH b U U sJ ULL uL s w uOML_ Vc UM WCH

    eN_ WOKb bbL UJ w bO UM U UNML UH V uL qL w Vc

    WOU UdNJ lu qI UJ w uOML_ b sO w WOdJ WOzUdNJ

    (Insulators) WUF u* ld p UDL Ue VA q Ud wzUdNJ UO dL `L w uL w

    vK u? YO c UNOd v p w V

    WdK WKUI d UdJ s b qOK b

    qJA w `{u UL wzUdN b?N dOQ X

    WOzUdNJ WLE_ w dO WOL WUF uLK

    pO b L bFL UNULF dE

    WbB s U WUL WOzUdNJ _ WODG w

    WOzUdNJ

    b???????????????

    d UdJ s qzU b

    qu w WdK WKUI d( UdJ qJA

    Vc

    WCH

    UM

    uOML_

    d UdJ s qOK b WdK WKUI d UdJ b qOK b UNO dNE WU U qJA

    UDL

    Ue

    pO

    VA

    sOKu

  • (Semiconductos) u* U ? dHB d W bM WOIM UNU w UN WKuL uL WUF uL sO j u w uL U_ UNO VzuA iF WU{ od s UNOKuL rJ r UdNJK WU uJ oKDL

    q WOdJ dUMF lOL WUM w b YO Wb WOdJ WbMN U w WU WOL

    uJOKO UL c w WbL WKuL t uL r s WKUJL b ued

    uOUd r s

    (Electrical Current) wzUdNJ UO d wJ qu d d v WDI s d( UdJ WNu Wd s U u wzUdNJ UO

    b q???u* d U???dJ c???

    vK qB W???OU u??? U???NOK d???R

    WOzUdNJ W???UD b???B s uI c???

    WUF WUD u UB* c b

    wzULOJ qUH WUD b

    bM U???dJ b??? w??? U??? b???Ou

    b???M U???b w??? h???I 5???DI b???

    VDI vK o???KD pc d V???DI

    t ed VU??? VDI r _

    wU VDI v???K oKD U???S

    US t ed Vu* VDI r

    U??? pK??? qJ???A 5???

    UdJ UFS uI WUDK VU??? VDI Q k qJ???A c w sFLU WUD wDI qu

    VU??? VDI s d( UdJ d WOMU tO UNc Vu* VDI uI 5 w t???M d???(

    wzUdNJ UO Ud vL??? d( UdJ WNu* Wd( c pK??? d Vu* VDI v

    pK w d wzUdN UO UM WU( c w UI

    Ud dL WuL Uu_ UNDIK WUDK VuL dD d UdJ qb UbM

    Wu Uu d UdJ dLU oKD WUD q wzUOLOJ qUH dL wzUdNJ UO

    bb

    WUD q UdJ Wd qJA

    UdJ Wd

    wzUOLOJ qUH

  • WE

    wd sO pK q sJL lu w ULMO wzUdNJ UO Ud uNH `O{u jI UL c l{ bI

    UNHK v R UL Wd WUDK ld mdH dO UO d v R p _ dU qJA WUD

    wzUdNJ UO U& dD v WUDK VU dD s qu* d d UdJ Q qJA w XE

    w 5 u UL Vu* VDI v VU VDI s UdJ UO UO U& uJ wUU Vu*

    . qJA 51

    qJA U w 5 UL VU VDI v Vu* VDI s UO Ud U& uJ vK `KD bI

    q wzUdNJ UOK wD U& ULKF vM b UdJ Ud U& fJF

    wD U& qLF X VJ ld* s bbF S p l UdNJK Wc WdEM l{

    wzUdNJ UOK

    wdJ UO U& qJA UOK wD U& qJA

    (Current Intensity) wzUdNJ UO b w qu d ob d UdJ s qO s U wzUdNJ UO Q WIU dIH w Ud

    UdJ s dO b ob U WCHM UO b uJ UdJ s qOK b ob SsOF U

    w UMOF UFDI dF w WOzUdNJ WMA WOL UNQ wzUdNJ UO b dF WFHd UO b uJ

    wUU WOzUdNJ WMA ob bF WOUse b w quL

    uuJUWOzUdNJ WMA WOL

    WOUU se UO b

    se b vK WuI WMA b w wzUdNJ UO b b WIU WUFL s sO

    .dO U Wb rUF v WdO rU bu c dFWOU qJ uu

  • U c dO wKOLU tM dG b b c b dO b dO_ uJ dO UO

    b dO (1) U dO wKO(1000) S d dOF mA d_U t ed dO 0,001

    WOKLF UO w b WFzUA eN_ iF tOK qLF c UO b `{u wU

    UN' UO b

    U{ `OUB dO 0.1-0.6

    WOzUdNJ UJ* dO (2-5)

    WOeM* W dO(1.5-2.5)

    WOzUdNJ Wb* dO(5-10)

    WOzUdNJ d_ dO(10-15 )

    ueHK UN dO (0.4-0.6)

    vb U UN WOzUdNJ b w UO b UI

    dcU db sAd UNKb dzb t ed dO_

    wu vK qu VdO_UO b UO UN

    qJA w UL UNO UO b UO dL b w

    WOzUdNJ WFb uI bN' d UMA d UdJ d WOU dR u u u wzUdNJ UO Ud UeK r

    UB s uI c vK qB pMJL UIU Ud UL quL d sOF U w d vK

    WOzUdNJ WFb uIw WHK b ULQ uI c vL buL UUDU WOzUdNJ WUD

    bu UI WNUA UdI UN UOLL c l WOuH wzUdNJ bN bN d

    d vK UMA UdJ d w uI UNQ UNHdF sJLV dU UN ed XuH

    wzUdNJ UO Ud V quL d sOF U w

    wzUdNJ bN' d w sODI sO UdJ WOzUdNJ UMA WOL w d u bM wzUdNJ bN d QAM

    dO_ UN qOu qJA

  • UNO hI s wUF w W?IDML v U?dJU WOMG WIDML s UdJ qIM YO WOzUdN

    s d UdJU UN dOI Vu d d UdJU wM VU d UNb WUDU

    VuL dD u d VU dD bM uuL d UdJ u UMA UF q

    quL WUD wd UMK WUDK VU dD VuL dD sO bN d u wMF c

    VU dD s d UdJ d WUD wd sO UOK dL qJA tS UM s

    bN d dOQ qFH VuL dD v

    EMF WOzUdNJ WFb uI d dFL D QI UBwU qLL WKB WOzUdN WUD qJA sO

    UO dO wU qL w U VuL VDI v VU VDI s WUD q wzUdNJ UO

    WMA d wJ q_ bN VU VDI v vK_ bN VuL VDI s wzUdNJ

    vK WUD c p oOIWUDK WOKb WUIL vK qL WUI vK VKG UNOK WKU

    UL s WMA sOJL qGA c u WUD qL uJ WOzUdNJ b w UNKIM G WMA

    b w WKUJ UN

    b uu b UbI WOD Wu WM qIM wzUdNJ bBL s cL qGA bIL

    XuH bu UI wzUdNJ bBLK WOzUdNJ WFb uI vLtU bBL qWOKJ

    bB wd sO bN d s dOFK U b WOzUdNJ WFb uI `KDB dcU db

    WUIL vK bN u U VM pUO d b WU w wU qL b wzUdN

    WOMOU d_U WOdF WGKU WOzUdNJ WFb uIK ed wzUdNJ bBLK WOKb

    (E.M.F). d_U

    XuH dU t ed WOzUdNJ WFb uI wzUdNJ jGC bN d UO b u XuH

    (1) tUI qu d dO (1) tb UO pd bN d u Xu (1) S ndFU (V)

    w UOdJ U w WbL XuH e UI qOBHU WUIL dAM

    Xu wKO* Xu 10-3 U (mV) sOdU t ed

    XudJO* Xu 10-6U(V) sOdU t ed

    Xu (1000) U (KV) sOdU UN ed XuuKOJ wN XuH UHUC U

  • vb U UN WOzUdNJ b w bN d UI

    dcU db s(V)d UNKb dzb t ed dOLuH

    vK qu VdOLuH bN d UO UN

    tOd sO bN d UO dL bBL qL l u

    ()qJA w UL

    WOKLF UO( w Wb* uN' dcUUD w WbL uN bOu vK oH bI

    (24) Xu (12) q WKzU UUD uN Xu (9) (6) (15) q WU UUD uN UNM

    Xu

    b UNO UL rUF rEF w WbL uNU d v bK s UF UO UJ uN nK

    U Xu (240)UOUDd w Xu(110) UJd w WKLFL uN sO w Xu (220) WOdF

    Xu(6600 - 380000) sO UbN dO wUF jGC WOzUdNJ WUD qI UJ

    dI* bN' UHu Wu vK WLOI c U q UbF V b bN WLO wzUdN UN qJ

    wL sMIL dIL bN vL UN

    wzUdN bN vK qJA w sOL UBL qLF L

    v UO e Xu (400)bN t{dF bMF Xu(220)

    t v R?? UL UBL qL lOD UL d

    U{ UOU UO uJ s Xu(50) bN t{dF bM

    wFO qJA UBL

    UUD qOu WFb uI s vK bN vK uB sJL

    vK UUD b qub WUD WOzUdNJ

    wu vK WuuL UUDK wKJ bN wu

    qJA w dHL UUD uN uL U

    bN UNM qwu wK UUD l UMK

    Xu 6) U wKJ bN S pcXu1.5

    dOLuH UN qOu qJA

    sMIL dIL bN qJA

    Xu

    B

    Xu

    1.

    5

    u wu vK UUD qOu qJA

  • bN e???w???u?????? v??K?? U??U??D???? q??? b??M??

    UO _ UNU vK UO be WOUJ vI ULMOwKJ

    UL UNH w UO b WUD q w dL wKJ b

    b WUD w

    qJA w ULu vK UUD qOu bM

    tH bN vI sO w vK UO be WOUJ e

    UUD quvK UO vK bN vK uBK

    qJA w UL VdL qOuu wu vK

    bN vK qBM wu vK sOUD UMK qJA c w

    WuL l u vK WuLL c UMK rXu (3)

    UO WHUC bN WKUL d

    wU b WK

    WUML UFU WOU UdH qL

    ............................................................... w uL w UdNJK WKuL uL

    ..............................

    ......................................??vL d UdJ s qzU b vK u w uL

    ..................

    ................................................................................ WKuL uL s

    .........................................?

    ................................................................??? w uL w UdNJK WUF uL

    ...............................

    ....................................... vL d UdJ s qOK b vK u w uL

    ..................

    .......?u?...................................... ...................................... WUF uL s

    .........................................

    ...........................WdG d W bM WOIM UNU w uL UB dF UOzUdN

    UUDK VdL qOu qJA

  • .............................................. `B VzuA iF WKuL nB uL rOFD bM

    ........................................................................ WKuL nB uL r s

    ................... q ................................... WUM w WKuL nB uL b

    u YO c UNOd v ld UdNJ qOu vK WKuL uL b ................

    ld wzUdNJ UO qOu vK WUF uL b b ...................................vK

    ................................... vK u YO c UNOd v

    d??_ b?? bM .........................b vK WUD w?? wzUOLOJ qUH qLF

    d dD bM .......................

    ............................................................................... s U wzUdNJ UO

    .....................................

    ................... VDI s WOzUdNJ b w UO U uJ wD U V

    ....................... VDI v

    . dU t ed ...................... ? UO UI

    WOUuu .......................... U bu dO_

    b S WOU(1) bI s w uu(3) U qu d WOzUdNJ WMA s WOL XIb

    dO U quL w UL UO

    .............................................. s dOFK WOzUdNJ WFb uI `KDB b U

    wK UL q UO b d

    .............bN d .............WOzUdNJ WFb uI

    WOMO d_U WOzUdNJ WFb uIK dU UOK dU bNK ed

  • b???????????????WOzUdNJ WUI* WOzUdNJ b

    (Simple Electrical Circuit) WDO WOzUdNJ b WOU WOU_ UuJL s UNUJ j w WOzUdNJ b uJ

    Source wzUdNJ bB* wzUdNJ UO Ud wzUdNJ jGC bN' d du c u

    (Load) wzUdNJ qL( a dL UBLU WOzUdNJ eN_ b s U u

    (Conductors) u* ? wzUdNJ bBL sO UO Ud d qJA w

    sJLuOML U s lMB U UU qL

    WU{S p WOKU d WOzUdNJ b w rJ qF

    tKBH wzUdNJ qLU UO qu SwitchUH

    dUM WUL FusedNB WU{ sJL ULWuN

    qJA w sO UL dHL UO s b

    UNze WU uJ UbM WIKG WOzUdNJ b uJ

    s wzUdNJ UOK dL qL YO iF UNCF WKB

    UNze b uJ UbM WuH WOzUdNJ b uJ qL d d dD v bBL wd b

    wzUdNJ UO d lML YO qB dO uBH UuDF

    (Short Circuit ) dB WU w WOzUdNJ b UO ob WCHM WUI d qL b dU qJA wzUdNJ bBL wd qB UbM

    WDO WOzUdN b ed duB jD* qJA

  • iF v R b WFHd d ZM qzU

    (Short dB qB tQ uI WOzUdNJ b e

    WOzUdNJ b w dBI b b w Circuit)

    TU qOu u e u b U s

    qJA w sO UL _ w

    WDO WOzUdNJ bK ed jD* WUD UB vK u WDO WOzUdN b ed jDL duB jDL qJA sO

    WDO b c q r WOUJ s rdU UBL WKO d UL UO b UOI dO UN WU

    bIFL b r w WIdD c b b VFB s t dO qJA sOL w WMOL WIdDU

    b UuJ qL u b qJA U v WMOLU We UDD ULF r V cN

    ed L UNu w WOzUdNJ ud v dF V UDDL c q d q sJ WOzUdNJ

    u wU b sOVU VDI v dOA dOB dP VuL VDI v dOA qu j WUDK

    WOzUdNJ dUMF iF

    wzUdNJ ed wzUdNJ dBMF

    qu

    jD vK sOKu lUI

    qOu uB wzUdN

    ULNMO wzUdN

    sOKu sO bI u vIK

    wKO UB

    dOQ UB

    WuU WO WOK

    WuU WO_ U) s WUD

    wzUdN dB b qJA

    U qu

  • ( DC )dL UO bB

    ( AC )UM UO bB

    wzUdN d

    wzUdN U

    dNB

    :(Electrical Resistance) WOzUdNJ WUI* w quL U eQ qu d UdO UM bDB wzUdNJ UO qJA w UdJ

    UdJ dO U WUI WU b

    WOzUdNJ WUIL dF quL c w

    wzUdNJ UO dL UL WU bI UNQ

    d db s qJA w UL UNO

    cN U b v lL WdFL uL q

    WOU

    UDL U??e?? q WUF uLK

    UdJ Wd W{UFL s dO bI

    wzUdNJ UO dL `L wUU Ud

    b dO WUI uL cN Q UI c UNO

    WU u UNQ

    U????M?? q?????? W???K???u???L??? u????L???? U?????

    b WKOK W{UF b UNS uOML_

    Q U??I?? c?? U??d???? U??d????J?? Wd

    u UNQ b WCHM WUI uL cN

    l WOzUdNJ b w UL UO WLO s b WUIL Q UM sJL d ULWKu

    bI l{ UO_ s dOJ w U UM d v U s nK WUI UN WKuL uL q

    WOzUdNJ d_ w uuL sO dUM UL qO vKF WOzUdNJ b w WUIL s b

    UDDL w UN ed R dU WOzUdNJ WUILK UA UUI s U w U Wb eN

    qJA w sO{uL sedU WOzUdNJ

    WOzUdNJ WUIL u qJA

    WOzUdNJ WUI* dOH qJA

    wzUdNJ UO

    WOzUdNJ WUIL

    wzUdNJ bN

  • _ (1) UO bN Wb _ dF () UGO wUuO dU t ed WUIL UO b

    Xu(1) bN bM dO (1) tb UO dL `L w WUIL bI u

    t ed UOL (103 U (K)sOdU t ed uKOJ _ UHUC s

    WbL Wd eN_ iF WUI rO `{u wU b (106) U (M) sOdU

    WOKLF UO w

    1 s q qOu pK

    uOK 20s d UD WFD

    50 - 0 wzUdN uJ

    50 - 15 d_ w 5 dUM

    UbM 60 - 0 WMU uJ UbM 600-0 UNd UHS WUI* WLO lHd U uJ

    U{ `OUB

    :(Conductance) WOKu* b U s d wzUdNJ UOK UL WOKu b V VUML s uJ UO_ iF w

    (Conductance).WOKuL vL WOU b cNwzUdNJ UO dL UN{UF

    UN e??d??w??zU??d??N??J?? U??O???? ddL vK U??L?? b??? s?? dF W??U??I??L?? fJ w?? WOKuL

    b UL r dO_ W wohm WLK uJF w mho u bu UIGdU

    WUIL uKI w WOKuL S UO{USdU UN ed WOKuL UOI Siemens eMOLO

    G= 1R

    WF w UL

    :(FUSES) dNB* bze UO s WOzUdNJ b dUM WOzUdNJ eN_ bFLK WUL dBM u uOH dNBL

    dNBM dBM w dNBL qL hKeN_ c nK v R c b dB UO s s

    ()qJA `{u ULsOF b s UO U bM b `H

  • dNBL qL qJA

    b WK

    WOU WK_ s V

    WOU WOU_ dUMF s WOzUdNJ b uJ

    WuH WOzUdNJ b uJ uJ UbM WIKG WOzUdNJ b uJ

    uJ UbM

    UbM uA dBI b

    w WOzUdN WUIL

    wUuO dU UN ed UNUO b dU WOzUdNJ WUILK ed

    s b vK WOzUdNJ b w WUIL qLF

    s U Wd WOzUdNJ eN_ w sO dUM

    w WOU dUMF WUIL WOdI WLOI

    qOu pK

    WU U dH w sO dBM ?

  • b???????????????udL* UO

  • b??????????????? WOzUdNJ UUI* bM UNO wzUdNJ UO d oOF w U* WOU w WOzUdNJ WUI* Q oU w X

    WUI s U w WOzUdNJ UL_ Q X UL _ bu UI wzUdN bB0 UNK

    c w wzUdN bB0 tK WO t U* UO WLO b% w w qL( WUI Q uU s XLKF

    d UNu UE UUI* u v U qu WUI b% w quF v dF u b

    UNKOu

    uL WUI

    qu* WUI w qu WF vK qJA w 5 u UL qu* WUI bLF

    qu* u tu l Ud VUM qu* WUI tu UU qu* WUI e

    qu* WUI vK dR* quF qJA

    qu* lDI WU qu* lDI WU ULK t qu* lDI WU l UOJ UUM qu* WUI VUM

    uJ dO UNFDI WU w uU*U UO ob YO s U* dOu UdNJ qU9 tUI XK

    WFHd U* UO ob UNUI uJ dOG UNFDI WU w uU* U WCHM U* UO ob UNUI

  • qu* U u ? s WMO WUI w ULK WOuM WUI*U dF U v udU WHK* u* WUI WUI sJ1

    UNUO b uOK (20) d W bM 23(1) tFDI WU d(1) tu qu WO vK U*

    d(U UN ed d 23

    U????????*dr WOuM WUIL WCH0.0149

    UM0.0178

    Vc0.021

    uOM*_0.0241

    bb(0.14

    bb d qJO dJOM WJO1.9

    b'

    WO WF bU _U qu* WUI U sJ1

    quL UL WOuM WUIL qu* uqu* lDI WU

    _U qu* WUI

    L

    AR=

    YO

    _U quL WUI

    dLUquL u

    rKquL lDI WU

    quL UL WOuM WUIL

    d rK

    R

    L

    A

    U?????????????? Q ULK 2r (1.5) tFDI WU d (100) tu UM s pK WUI V

    d 2r 0 .0178) UMK WOuM WUIL

    q????????????????( 1,81 = 0 8710 (1 5 100 ) quL WUI

  • d( W dF c U* WUI* d( qUF*U dOG c s dF d( W dOG U* WUI WLO dOG

    W (1) UNd W dOG WO (1) UNUI U* pK s WMO WUI WLO w UBIM Ue tQ

    Wu W bu tLO s dOF r)wUuO d(U d( qUFLK eduOK

    WLO e w uLK (Positive Temperature coefficient) Uu WUILK d( qUF* uJ

    UdJ Wd U v UNd W U R w WOIM UF* q UNd W UU UNUI

    wzUdNJ UO qOJA b U& w rEM qJA UNF WOKL VFB U2 WOzuAF

    WLO qI w uLK (Negative Temperature coefficient) UU WUILK d( qUF* uJ

    WO UNUI qI w WOOdJ qOU; uF u* U q UNd W UU UNUI

    u* iF d( qUF* WLO wU b' 5d( qFH WOzUdNJ WMA U s be* bu

    UdNJ U w Wb*

    UL d qUFL

    UM+0.0038

    uOML_+ 0.004

    uH+ 0.0045

    XOd- 0.0004

    sM 0.0041

    WJO UUuJ+0.000005

    b'

    WOU WF bU(RHOT

    ) WMU WUI* WLO U sJ1

    RHOT

    = R20

    {1 + (THOT

    - 20)}

    YO

    Wu 20 W bM WUI* WLO R20

    ULK d( qUF* ( )

    WUILK WOzUNM d( W THOT

  • U???????????? W u bM 7M s uMB wzUdN UB qOH WOzUdNJ WUI* V

    20 WdG d W bM qOH WUI XLK tKOGA UM Wu 2020 v UNd

    Wu W qJ 0.005 U 7M d( qUF* 50 U Wu

    q????????????????(R

    HOT = R

    20 {1 + (T

    HOT - 20)}

    R2020

    = 50 {1 + 0.005 (2020 - 20)} = 60

    WUOF* UNUUI WOzUdNJ _ WOzUdNJ eN_ WUM w qb UL WOzUdNJ WUD lu qI w WOzUdNJ _ b

    pK u vK UNLO w bLF WUI _ cN UdO WOzUdNJ Ud; u; q

    V UN_ UNO ud dO WUI* c uJ UU tU u tFDI WU

    qUM pK b vK bN' u vK bN' u WLO bLF bB* bM j) Wb w tM q qL( bM j) WUN w bN' uJ

    UOd w bN' u U u t tOK UF* s d U* UO WLO pK WUI

    .(%5) Ud; w (%3) Wb eN w WJA bN s (%2.5-1.5) t U U{

    WuIM* WOzUdNJ WUD w UH _ 5 v R Wd WU v WUD c s e qu% vK _ WUI qLF YO

    UQ _ c d9 c UO WLO WOUM WUOF* UUI* iF b' 5

    6 4 2.5 2 1.5 1 23 lDI* WU

    36 24 18 16 13 11 dO dI* UO

    WKL c UO WLO WOUM WUOF* UUI* b'

    v R b pK d W lHd Ud0 uL* WLOI pK d U* UO WLO U&

    w b U qJA ozd uA wzUdN U9 b v wUU tHKG c UF UNB

    bI bbL 2 3(2.5) U{ bbL 2 31.5) WOeM* bbL

  • UUI* u UOU b hzUB rOI WOzUdN UUI b eK WOdJ WOzUdNJ b qL oOI

    WOzUdN UO qL WdF WO rO UN WHK UJQ UUI* lMB c b c qL VUM

    WLOI dOG WLOI WU UUI* UL 5Oz 5u v UUI* rI WuKF

    Fixed Resistors WLOI WU UUI* dU dO qJA U dU qJA WUI* r vK VJ dOG WU WLO UN w UUI* w

    WOzUA WOJK WOud UUI v UNFM U* UI UUI* c rI u

    Carbon resistors WOudJ UUI* qJA w `{u UL WOzUdNJ UNb l VUM YO WHK UQ WOudJ UUI* bu

    UH pOdO u q WKu dO U u* udJ s Ze s UUI* c lMB

    sJ1 v bF0 WUI* Ud d d(U bL& r UOuD uJ U uKD* qJAU U* VB

    qJA k WOU) _U UNKOu

    WOzUAG WUI* WOudJ WUI* VOd qJA WOzUdNJ UNb l VUM UUI* U qJA

    Film resistors WOzUAG UUI* wuD qOJA qO `D u WUI U s fU UA d WOzUAG UUI* rOLB VKD

    U* u dOG pc UAG c w wu e lDI WUILK WuKD* WLOI vK uB( r we

    w u W UUI* c bu qJA w `{u u UL UNLO wUU WUI* wd 5

    tAuOdJ qJOM wbFL UAG dbBI bO wbFL bO_ UA wudJ UAG

    UNM WHKJ vK wUU W d UNMJ WOudJ UUIL wU qJA YO s WOzUAG UUIL

  • Wirewound resistors WOJK UUI* ? pK u lMB qJA w `{u UL eF qOJA qO vK pK s UH b s lMB

    d( UNUI qUF WFHd* WOuM UNUI V dJ b w dJ qJOM pzU s

    WLOI iHM*

    WDK wUe D s WO WID vDG jO; ju dOQ s WUI* UuJ WUu

    k d( bb vK UNb 5 uOM*_ s d b0 nKG UNCFXML qd s

    WUI* r vK dU uU UNb _U WUI* WLO VJ UUI* s uM c w qJA

    UI tAUM rOBS1852 WOUDd WOUOI WHu* w b; eOd UE lWd(

    WOJK UUI* qJA WOJK WUI* VOd qJA

    Surface Mount Resistors-SM Resistors WOD UUI* `D* UL 5KJA duWUJ WOU WuD* UuK WLz UNKF U2 UNL dGB U9

    WOU v_ 5U) UU s uJ eOd UE UeOd w b WD* WUI*wuD_

    WUI*qJA dNE UL UH_ bnUC* qL dO_ WU WU) U WUI* WLO 9

    WU WOu WIK v WU{_U UI tdAMwUL) wuK eOd UE UeOd w b WOuD_

    qJA dNE UL WUILK d( qUF* q9

    UeOd d WOD UUI* qJA

  • Network Resistors WOJA UUI* ? UNHOKG r WNUA* UUI* s WuL s U w

    w 5 u ULWKUJ* b WHK tA wU G

    WOdJ b w WOJA UUI* bqJA

    WNUA* UUI* s dO b u% w

    WOJA UUI* qJA

    Variable Resistors WLOI dOG UUI* UNLO dOOG sJL dOGL UUILK U UHK ud eN w uBU rJ `OUH dF

    uB UMUJS wMF cN (1000) UNLO dOG WUI uI UbM UNOUHdb WuN

    (1000) dHB sO d rO vK UNM

    dOG* WUI* qL qJA

    WUIL WLO vK ULNUu qB WUIL wUN L Ud d W dOGL WUILK

    vK sOUNM b l tUu qB UI dBM u d oeM e qB YU dD WOKJ

    qJA w `{u UL WOKJ WUIL s WHK rO

    vK uHK pK s lMB WOD Wdz udJ s UWJ qJ vK UIL dBMF lMB

    U d rOI du WHKJ WKOK w 1 s q WObL bI rz WOudJ u_U VK

    du dQ 3 WDuL bI rz wN _ WuHKL u_ U UO 1 uKO1 sO

    uKO 100 10 sO U d rOI

    wjC Zb q WO{d bF qLF b dOG UQ dOG* UUI* du

    oO j{ v WU( bM b c oOb jC u oKG* uM uH* uMUJ W du

    qJA k WUI*WLO w dOG b WUI* UH db ZMO YO b

  • dOG* WUI* qJA

    YO rI u bN UOI(Potentiometer) bN UOI r UC dOGL WUIL vK oKD

    k udJ U vK oeML Wd pc (VIN

    )qbL bN s qJ (VOUT

    )d bN WLO b

    wK UL qL WU w dL bN WLO b qJA

    VOUT

    = VIN

    x R

    2

    R

    qLFLogWO9Uu nB LinWOD U0 WOudJ bN'UzefOUI du

    WOFL eN_ w UN'U rJK Q dO_

    bN' UOI qJA

  • WU) UUI* WOKL UIOD rz WU lM dD WU u s lMB

    UUI* qL s UNKL nK WOdJ b w WMOF

    UUI* c s WUF

    udO qJA udO WUI qJA k UN{UH d( W UHU uLK qJA UNUI dOG w WUI* w

    w d( Wb fL UNb sJ1 UL d( W UH s WUL( w b

    Uu UNM bu d( W UO eN w bd Wb eN w rJ

    d( W UHU UNLO qI w (NTC) VU d qUF WUI d( W UHU UNLO e w (PTC) Vu d qUF WUI

    UUI* c u qJA dNE

    (VDR) bNK WFU uUH WUI UNd vK dR* bN' U l WUI* c WLO qI

    UH s WOzUdNJ bF* WU U w UU b

    u vK WUI* c qu wzUdNJ bN' w TUH*

    bNK TUH UH b UbM tU d* UN' l

    s e h9 UOE( uUH WUI qI UN' wd 5

    tb dJM TUH* bN'

    WU) UUI* u qJA

    dNBL qLF WOud WOJK WUI ? UO U UbMF WOd WOU ULb_ UF UuK Ud UM WOJK WUI* WU w

    bM UO d lDI qBHM WKu vK UK dNB b v WUI* c s dI* b

    2 s q UNLO dOG WUI b WOudJ WUI* WU w U WKu U( U sJ1 qDF

    bF UNb sJ1 WUI* c d% dI* b UO U UbM l s q dOG UNb

    qDF

  • Light Dependent ResistorLDR uC vK bLF* WUI* UU UNLO hUM WUI* c WOzu{dNJ dUMF b s b uC vK bLF* WUI*

    2 s d v qB b b WOU E w uC vK bLF* WUI* WLO uJ UNOK jU uC b

    _ s U lC v UNUI iHM uCK dF UbM sJ UO

    uOUJ bOd q uCK WU( WKu* t u* s uC vK bLF* UUI* lMB

    uC vK bLF* WUI* VOd qJA 5 CdSe e uOUJ bOMOKO CdSe

    r qOu wdD e pOdO Ue s WU WI vK uCK WU U s WIO WI qJA

    uCK WU( U* vK uC uI `L WOU cU t wJO wbF w l{u

    qOu d

    uCK WU U

    WU bU

    WOzuC WUI* e ?qJA WOzu{ WUI qJA WOzu{ WUI* lDI qJA

    eN w UU qLF U* qO vKF UOdJ w bb UIOD uC vK bLF* WUILK

    tUO u{ uu U d_ VKD YO qd* w VNK nU WO u_U rJ c

    UUILK WOMH UHu* wU WOzUdN w WHU WUI b U UNUd V w UUILK WOMH UHu*

    UOL uKOJ U WuKDL WLOI s dF WUIL WOU WUFL s UN wQ WUIL Ub w uBI bI w bIL bI

    P = V2

    R = I2 x R

    U tM dF bLF* buU d( W w dOG qJ WUI* w dOG u d( W qUF uOK*U e_U

    tM dF se s WMOF b vK WMOF d X% qB c WUI* WLO w VKI u dI % Wu WM

  • UUI* eOd rE UU

    UUI* u rE 5UE UM UNUNUH UNLO v dOA WOu ud WLKF WOzUAG WOudJ UUI* uJ

    qJA dE wUL) wuK eOd wUd wuK eOd UL wuK eOd w sbLF

    qJA

    wUd wuK eOd WUILK _ rd UO WN s v_ WIK( b%

    WU WIK( b% WUILK wU rd WOU WIK( b%

    W b WFd WIK( U UH_ b dAF nUC*

    qJA k WdEM WUI* WLO w t uL* UH

    wUd wuK eOd qJA

  • U???????????? cN v_ vK_ sb U UOd oU qJA w WMOL WUIL WLO U

    WLOI

    q????????????????( sO WUIL r vK WMOL u_ UIK v dEMU

    (4) bF qUI dH v_ WIK u

    (7)bF qUI wHM WOU WIK u

    (100) nUCL qUI dL WU WIK u

    5% UH W qUI w WFd WIK u

    sO UNCF VU U_ l{u

    uKO 4.7 4700 47100 WUIL WLO

    WLOIK vK_ b

    4700 + 4700 x 5

    100 = 4700 + 235 = 4935

    WLOIK v_ b uKO

    4700 - 4700 x 5

    100 = 4700 - 235 = 465

    wUL) wuK eOd WOU WIK( b% WUILK _ rd UO WN s v_ WIK( b% wUd UEM w U( u UL

    dAF nUC* WFd WIK( b%WUILK YU rd b WU WIK( U WUILK wU rd

    `{uWdEM WUI* WLO w t uL* UH W b dO_ WU) WIK( UH_ b

    UNUH UUI* WLO bb UEM c b WId qJA w 5* U*

    BS1852 ud UE WOU Wb_ d( WDu dAF nUC* WLO pc WdAF WKUH UJ bb% r UEM c w

    WLzUI c ULF WId WOU WK_ `{u

    0.18 wMF R18

    560 wMF 560R

    WdA WKU nUCL(K)d( b YO uKO2.7 wMF2K7

    uKO39 wMF 39K

    UHd1%F

    2%G

    5%J

    10%K

    20%M

    b'

    WdA WKU nUCL(M)d( b YO UO 1.0 wMF1M0

  • b' k UH v U wU{ d U( r r s

    WLzUI c ULF WId WOU WK_ `{u

    5% UH 0.18 wMF R18J

    10% UH 560 wMF 560RK

    UUILK WKCH* rOI uu* rOI b uJ tUHUC dA r WdAF rOI s K bF UUI* du

    %10UNUH mK w UUI* w WUI* rOI b* qLAO b; UHU UuJ WKK q w

    E6 WKKU UC dF WOU WOU_ WOb WdAF rOI WKK UMeK

    1.0, 1.5, 2.2, 3.3, 4.7, 6.8

    UHUC* UF* b* u U* qO vKF rOI cN WdAF UHUC* du wKLF oOD w

    WOU rOI 2.2 WLOI WUI*

    2.2,22,220.2.2K,22K,220K,2.2M

    w 10% UNUH mK w UUILK E12 WKKK WOU_ rOI

    1.0, 1.2, 1.5, 1.8, 2.2, 2.7, 3.3, 3.9, 4.7, 5.6, 6.8, 8.2

    w 5% UNUH mK w UUILK E24 WKKK WOU_ rOI1.0, 1.1, 1.2, 1.3, 1.5, 1.6, 1.8, 2.0, 2.2, 2.4, 2.7, 3.0

    3.3, 3.6, 3.9, 4.3, 4.7, 5.1, 5.6, 6.2, 6.8, 7.5, 8.2, 9.1

    UUI* qOu UFw W dD UUI* qOu sJ1

    wu vK qOu dDU uu v_ WUI* wd b YO UNCF WKB UUI W qJA 5

    k WU WUI* s _ dD l qB WOU WUI* s wU dD WOU WUI* s _

    lOL w tH UO d YO UOK jI b U wu w bu t qJA s

    b e lOL s UO lDI UUI* b Xd UUI*

    UL WOKJ WUJ* WUI* w jI b WUI0 UUI* bS p b c jO sJ1

    uL* (Total) WLKJ UBU wQ(T)d( YO(RTd(U( UN ed qJA w `{u u

    UO b dOG UUI* WuL s b b w UNF{ sJ1 w WUI*WUJ* WUI*U bBIwKJ

  • WOzUdNJ b WUJ* b

    wu vK UUI* qOu qJA

    w UL UNLO V q d VUM UUIL vK VT bBL bN u wu w

    qJA

    (V1 = I

    T x R

    1) v_ WUIL vK bN d bN u

    (V2 = I

    T x R

    2) WOU WUIL vK bN u

    (V3 = I

    T x R

    3) WU WUIL vK bN u

    wUU V

    T =V

    1 + V

    2 + V

    3 UL bN dH d uLLK UU(V

    T) bBL bN uJ

    IT R

    T = I

    T R

    1 + I

    T R

    2 + I

    T R

    3

    RT = R

    1 + R

    2 + R

    3

    VOd w WKb UUILK d' uL* U wu b WUJ* WUI* WLO 5 cJ

    qJA k b c

    wu vK UUI* qOu qJA

    bK (RT) WUJ* WUI* (VT)bB* bN vK wu w wzUdNJ UO WLO bLF

    wU uM vK uU vK UM (ITb UO V (

  • WUJ* WUI* bB* bN UO

    IT =

    VT

    RT

    U???????????? V qJA w 5 UL wu vK (30) (20) (10) UUI* XK

    WOKJ WUI*

    q????????????????( R

    T = R

    1 + R

    2 + R

    3

    = 10 + 20 + 30

    = 60

    U???????????? (6) UNLO WU (4) UNLO WOU (2) UNLO v_ UUI XK

    Xu (6) UbN WUD wD sO wu vK

    WOKJ WUI* V WOzUdNJ b r wKJ UO V WUJL b r ?

    q????????????????(

    2 4 6 12

    6V 6V

    qJA

    2 + 4 + 6 = 12 WOKJ WUI* w jI b WUI0 UUI* bU WOzUdNJ b j WUJ* b ?

    WD* b c vL qJA w `{u UL WOKJ WUJ* WUI*

    dO 0.5 = 12 6 WOKJ WUI* wKJ bN' (IT) wKJUO

  • U???????????? Xu (220) dIL UNKOGA bN (100) UNM q b WNUA U{ `OUB WL

    UB q vK bN u V Xu(220) bB wd sO wu vK XK

    q????????????????(UU UNOK u u bBL bN S wu vK Wuu WNUA `OUBL UL

    Xu 44 = 5220 UB q vK bN u

    dIL UNKOGA bN vK qB r UN_ b WCHM uJ u `OUBL c U{ b

    Xu (220)

    u vK qOu UL u b U w lUB* UM* w WOzUdNJ WUDU WOzUdNJ UL_ WcG

    WUDK wOzd bB* wd 5 u vK WOzUdNJ UL_ qu YO qJA w `{u

    UF* j) UH j UL 5D WUu bB*U wzUdN qL q qu Xu (220) WOzUdNJ

    Xu (220) fOzd bB* bN vK wzUdN qL q qB cN duOM

    lUB* UM* w WOzUdNJ WUDU UL_ WcG qJA

    (V T) WOzUdNJ WUDK wOz bB wd 5 u vK Wuu UUI W qJA 5

    uJO bB* bN vK WUI q qB% cJ

    WU WUIL bN WOU WUIL bN v_ WUIL bN bBL bN

  • qJA

    UNLO V wJ VUM bK WuJ* UUI* vK u w bB* UO u UL

    uJ uU bU qJA w UL

    v_ WUI* wKJ bN' (I1) _ WUI* UO

    I1 =

    VT

    R1

    WOU WUI* wKJ bN' (I2) WOU WUI* UO

    I2 =

    VT

    R2

    WU WUI* wKJ bN' (I3) WU WUI* UO

    I3 =

    VT

    R3

    WFd WUI* wKJ bN' (I4) WFd WUI* UO

    I4 =

    VT

    R4

    WOKJ WUJ* WUI* (VT) bB* bN vK u w wKJ bB* UO WLO bLF

    WOdH UO uL U (IT) bB* UO bK

  • IT = I

    1 + I

    2 + I

    3 + I

    4

    VT

    RT

    = V

    1

    R1

    + V

    2

    R2

    + V

    3

    R3

    + ...

    1

    RT

    = 1

    R1

    + 1

    R2

    + 1

    R3

    + ...

    UUI* UuJF lL qU l u b WUJ* WUI* uKI WLO U d vMF0

    UUI* c s _ WLO dG s u b WUJ* WUI* WLO qI p s ZM Wuu*

    5U 5U UM

    S (R) b q WUI u vK (N) Ub WNUA* UUI* s WuL qOu bM WUJ* WUI*

    RT =

    R

    N

    UU UNOK bB* UO u

    S qJA w UL u vK 5UI qOu bM qU 5UI* rO d{ qU WUJ* WUI*

    5UI* rO lL qJA

    RT =

    R1 x R

    2

    R1 + R

    2

    U????????????WOzUdNJ WUI* V u vK (40) (60) 5UI* XK

    q????????????????(WUF* b sJ1 jI 5UI vK u% b U0

    RT =

    R1 x R

    2

    R1 + R

    2

    = 60 x 40

    60 + 40 = 24

    U???????????? w UL u vK 60 (R

    3) 200 (R

    2) 300 (R

    1) UUI* XK

    V qJA

    WOKJ WUI* Xu (20) bN bB wd 5 WuL* XK WUI q d UO wKJ UO

  • 300 200 6020V 20V

    40

    qJA

    q????????????????(

    1

    RT

    1

    R1

    + 1

    R2

    + 1

    R3

    1

    300 +

    1

    200 +

    1

    60 WOKJ WUIL

    WU( c w dG_ dA* nUC* UNUUI bOu uJ c lL WOKL VKD

    S (600) U

    1

    RT

    2

    600 +

    3

    600 +

    10

    600

    15

    600

    vK qB WUFL c wI VKI

    RT =

    600

    15 = 40

    wKJ UO I

    T =

    VT

    RT

    = 220

    40 = 5.5A

    WOdH UO ?

    I1 =

    VT

    R1

    = 220

    300 = 0.73A

    I2 =

    VT

    R2

    = 220

    200 = 1.1A

    I3 =

    VT

    R3

    = 220

    60 = 3.67A

  • U????????????WOKJWUIL V u vK Wuu (200) UNM q bI WU UUI l

    q????????????????(WUF* b sJ1 WU UUI* U0

    RT =

    R

    N =

    200

    4 = 50

    Vd* qOu UUI* tO qJA w `{u UL u vK qOu wu vK qOu 5 lL' sJ1

    WU w (R1) WUI* l wu vK Wuu WuL* c u vK Wuu (R

    4) (R

    3) (R

    2)

    Vd* qOuU dF p S U w u wu qOu 5 e*

    K

    WLO dO_ dI V WUI* h bM qJA

    UNL vK WK* WLOIK UdI WUVdL qOu qJA

    UUI* UD UU UNd W UH v R U2 t uL* b( s Ud U* UO U WO U WUI* qDF

    WUI* qDF s ZM WOudJ WUI* XH WOJK WUILK uJ* pK tF lDIM c b( v

    WcG bB qB bF dO_ bU UNLO UOI WUI* qD UA r UNUJ w WuH

    YO dJ* ULF WO WLOI dOG vL d qD UM WUI* d b qB b s

    WLOI YO s UHu* fH UN dQ WHU WUI* b Vd% WUI* WLO lHd

    uU uB_ bI _U

  • U?????????? qJA w WMOL WOzUdNJ bK WOKJ WUIL V

    6 4

    5 2.4 5

    7.4

    qJA

    q????????????????(qd vK qLF b cN WOKJ WUIL U VKD

    WUI w ULN sJL u vK Uuu R3

    R

    2 sOUIL UL v_ uD

    (RT1

    ) WUJ

    RT1

    = R

    1 x R

    2

    R1 + R

    2

    = 6 x 4

    6 + 4 = 2.4

    w UFL sJL wu vK Uuu R1

    R

    T1 sOUUIL UL WOU uD

    (RT) WUJ WUI

    RT = R

    1 + R

    T1

    = 5 + 2.4

    = 7.4

  • b WK ...................... bu UI ...................................................................... w WOzUdNJ WUI* ..................................................................................w qu WF vK U qu WUI bLF ....................................................................................................................w ULK WOuM WUI* ........................................................................................................... bu WOuM WUI* UI ................................. w tU u UF Wb qu* WUI U w b w WF

    XU pK WUI V d (0.0178) UMK WOuM WUI* d (80) tu UM s pK 23 (2,5) tFDI WU 23 (1,5) tFDI WU

    pUE V 5U U

    ................................................................................................................ tQ dF d( qUF* V UN_ UNO ud dO WOzUdNJ _ WUI

    .................................................................... .................................................................... .................................................... v R p S dI* UO s d UO qu w d

    :w WU UUI* u ........................................ ? ........................................ ........................................

    WOU UUI* u VOd r dOG* ? WOJK WOudJ

    :WOU UBU wMF U .................................................................................. (PTC) .................................................................................. (NTC) .................................................................................. (VDR) ?

    : WOU UUI* Ub d .................................................................................. (PTC) .................................................................................. (NTC) .................................................................................. (VDR) ?...................................................... dNBL WOudJ WUI*

    (1000) v dH s dOG WUI vK uBK UNKOu WOHO r 1000 dOG WUI U* WOdH WOzd uD) w WOzUdNJ bbL w pL d b s

  • WLO U wC dL wHM dH VOd vK w WOu UIK l UNOK WOud WUI UNO UL WLO U WUI* c

    c WLO U w w dL dL VOd vK w WOu UIK l UNOK WOud WUI UNO UL WLO U WUI*

    bK WOKJ WUI* V WOzUdNJ b r wu vK (35) (25) (20) UUI* XK uKD* R3=15 R2=18 R1=12 Xu (220) bB wd 5 wu vK XK UU W

    WOKJ WUJ* WUI* V WOzUdNJ b r b w U* UO V WUJ* b r ?

    U q vK bN' u V ?WCHM UNU{ b uJ Xu (220) bB wd 5 wu vK Wuu* `OUB* qK

    wu vK XK (484) UNM q WUI 100Xu220 WNUA U{ `OUB WF uKD* Xu (220) bB wd 5

    WUJ* WUI* V WOzUdNJ b r UB q vK bN' u `OUB* d U* UO V ?UB* vK bN' u UB* w U* UO UB qJ WOIOI( bI ?

    WUJ* WUI* V WOzUdNJ b r u vK (120)(60)(30) UUI* XK WUJ* WUI* V WOzUdNJ b r u vK (8) (12) 5UI* XK

    uKD* (100) UNM q WUI WNUA uK UB sdA vK u WM q WUJ* WUI* V

    Xu (220) bB* bN U UB q w U* UO WLO wKJ UO WLO V wOzd bB* wd 5 u vK WOzUdNJ eN_ qu lUB* UM* w qK

    WUJ* WUI* V qJA w WMO* b w

    25

    5050

    qJA

    WUI (120) UNM q WLO UUI WuL du (50) UNLO WUI eN& nO (10) UNLO d

  • b??????????????? uU

    c uUI u uU iF UNCF vK WOzUdNJ b w WUIL UO bN rO bLF

    v W r cN wL bI ucL W WOzUdNJ bu jd w WF `{u

    w UL UO b VUM wK U vK hM WF c nA c u wUL_ rUF

    tUI l UOJ quL wd sO bN d l Ud UUM qu

    UO Ud V w uI u bN WOzUdNJ b w bN bB u buL WUD

    WU WUIL WLO dH UO q bN q ULK UO bN ULK tOK UM wzUdNJ

    WUI u S fJFU iHM UO d v R WOU WUI u S XU bN dS

    lHd UO d v R WCHM

    uU U w uUI WOU UJ W UM

    UO I V

    R WUIL bN UO

    UO WLO vK WF c hM WUIL bN Wb UO WLO U WF c b

    WUIL WLO vK WuI bN WLO U

    WUI* R V

    I UO bN WUIL

    WLO vK WF c hM UO bN Wb WUIL WLO U WF c b

    UO WLO vK WuI bN WLO U WUIL

    bN' ?V = R I UO WUIL bN

    wd sO bN WLO vK hM WUIL UO Wb bN WLO U WF c b

    WUIL WLO w WUIL d UL UO WLO d{ qU U WUI

  • uU dz

    UO bN sO WF dc WId qN

    w WMOL uU dz b w WUIL

    qJA

    WLO pF j uU dz b

    U WuKDL WF dNE WuNL bu

    qJA w `{u u UL WuNL WLOI

    U

    (6)UBL WUI XU S Xu (12) WOzUdNJ WFb UNu WUD qLF UO UBUBL c w UL UO b V

    qUNUODF q WOzUdNJ b rd

    (V=12) Xu (12) bN (R= 6) ( 6 ) WUIL

    (I = ?) dO () U?O

    R=6

    I=?

    12V e uU dzb WUFU WuKDL WF VJ

    I VR

    I 12

    6 2A

    uU qJA

  • U

    dO (3) bI UO V Xu(220) bN bB s qLF ZK W U

    U WUI b

    q

    UNUODF q WOzUdNJ b rd

    (V=220) Xu (220) bN(I = 3 A) d?O(3) U?O

    (R = ?) ( ) WUILR=?

    I=3A

    V=220V

    e uU dz WUFU WuKDL WF VJ

    R VI

    R 2203 = 73

    ld b WK

    uU h d

    UL dIL bN s vK bN wzUdN UB idF bM b U

    UL dIL bN s q bN wzUdN UB idF bM b U

    b V WOzUdNJ b r Xu (12) WUD s qLF (4)tUI UO UB

    UBL w UL UO

    WOzUdNJ b r Xu (220) d bN bB s qLF (80) tUI ZK W U

    U w UL UO b V

    bN d V WOzUdNJ b r dO tb UO Ud d (6) UNLO WUI

    WUIL wd sO

  • WOzUdNJ bI WUD

    s u UL b vMH WUD S dF u UL WUD UJ b w UdNJ

    WOzuC WOzUOLOJ WOJOUJOL WUD UJ nK qu WOzUdNJ WUD U sJL d v qJ

    s d UJ v WOzUdNJ WUD qu WOzUdNJ eN_ b UL WOzUdN WU v Wd

    WOzUOLOJ WOJOUJOL WOzuC Wd WUD q bOHL WUD

    WOzUdNJ WUD bOu WUD U??B?? r??? s?? WOzUdNJ b??u??L?? dF

    d??O??Q???? d???U??? v??K?? U??N??K??L?? w??? b??L????F?? W??O??zU??d??N??J??

    buL UHK uL b YO wOUMGdNJ

    WOzUdN WF u dOQU UNO buO wOUMG U q

    qJA w `{u UL

    b Wd WOzUdNJ WUD bOu UD w

    U U WOLA WuM WUD d rH

    U c??w??U?? j??G??{ U???

    WU UMOu qOGA w qLF

    bu qOGA Ub uI WL{

    b??u??L?? b???? U??L?? WOzUdN

    W??U??u?? W??D??u????L?? d??O??G??B??

    UD w U eb Ud

    WOd WOzUdNJ W??U??D?? bOu

    UL uN b

    WOzUdNJ WUD lu qI oKD u uD WUu pKNL v WOzUdNJ WUD bOu WD s WOzUdNJ WUD qIM

    b w UJA c b UduB UL qJA sO WOzUdNJ lu qIM UJ UNOK

    pKNLU wNM WOzUdNJ bI bOu WD s

    WOzUdNJ WUD UB s bB WOOUMGdNJ qJA

    WOzUdNJ WUD bOu UD; WOU_ e_qJA

    b???????????????

  • vK WOzUdNJ WUD lu qI UJ u%

    qOGA vK qLF WU WOzU UMOu

    bu*

    5?? d b??N Z??M W?OzUdN bu

    Xu uKO 10-6

    Xu uKO 33 v bN' ld u ?

    l rd Xu uKO 132

    bI iOH p UO iH bN'

    od s WHKJ qOKI _ w bN' u qOKI v WU{U qIM uD w uIH*

    dG lDI WU b

    ed* b* v WOHd oUM* d WOzUdNJ WUD qIM w WOzuN wUF jGC uD

    WOUMB

    Xu uKO 15-6 s d ju bN v lHd* bN' iH u vK u% WOd UD ?

    WOUMB ed* b* u d WOzUdNJ WUD qIM ju bN uD

    Xu 380 Xu 220 v iHM bN v ju* bN' iH u

    iHM* bN'U pKN* e WOzu WO{ O ?

    Electical Power) WOzUdNJ bI w qG qIM e d cqJA w

    j b vK d?? v WDI s bMB qI

    r pd w cL qGA WLO vDF qIM

    dsuOM bu qGA UI WOU WFU U

    WbL bu fH w u UC vL

    WUD UOIqGA

    se bI

    bu WOU w cL qGA bI qGA c t r c bFL wN bI U

    d fLO rUFK ULdJ u UC vL WOU w u w bI UO b

    (W) dU uK ed WU W

    WOzUdNJ WUD lu qI qJA

    qJA

    bI WUD se

  • UdJ pd w WU G bN bB c WOzUdNJ b w

    UO l w WJKNL WOzUdNJ WUD bF vL b e d UO

    UI P dU UN edWOzUdNJ bI b?? e d wzUdNJ

    WOzUdNJ bI Q Wd qL UO uI qL bN ULu bu

    bNU UO d{ qU U

    bN' x UO bI

    P = I x V

    YO

    uU bI :P

    dO_U UO b : I

    XuHU bN' :V

    WOKL bu uKOJ b pc WOKLF UIOD WU rz UNS dOG b u U0

    (KW) 5d(U t ed 1000 U u bI UOI

    U uU sL b V dO 5 bI UO V Xu 220 bN wzUdN s

    uKOJ

    q

    bN UO bI 1100 = 220 5 = uU bI

    uKO 1.1 = 1000 1100 = uKOJU bI

    s uJ b UN dI* qOGA bN bI WOzUdNJ eN_ UHu Wu vK U q

    qOu UI dbI U* qO vK UM vMO UN' t c UO WLO WdF tO ud*

    bN' bI Wb UO WLO U sJ1 UN' c WUL( wzUIK lUI dNBM* UO

    WOU WFU WOzUdNJ UUU WO_ UL

    bI

    bN

    UO

    qJA

  • U

    dH t c UO b V Xu 220 bN qLF uKO 5 tb wzUdN d

    q

    Xu 220 bN

    5000 uKO 5 bI

    UO

    bN bI UO

    dO 22.7 = 220 5000 UO

    iF w d_ WOdJ dUMF UUI* u* w d qJA WOzUdNJ bI b

    s bbF w bOH dO uJ b UNMJ WOzUdNJ d_ UM* w UL bOH d( c uJ UO_

    WOdJ dUMF u; Ud; u* w UL U{ uJ U0 q d_ eN_

    w b* bI s dF W U P = IVwU_ bI uU V = IR uU Z sJ1

    UL WF cN 5KJ UM dU qJA WUI*

    WUI* UO Wb bI

    WUI* UO ld bI P = I

    2 V

    WUI* bN' Wb bI

    WUI* bN' ld bI

    P V2

    R

    U

    tb V Xu 220 bN 484 tUI wzUdN UB

    484 WUI* q(

    Xu 220 bN'

    bI

    WUI* bN' ld bI

    100 = 484 (220 220) bI

    WUI* w b* bI qJA

  • (Horse Power) UB( bI

    UF w wJOUJO* UB( bu UO_ iF w WOzUdNJ UC* Ud; b vDF

    c fLO q s bI UOI bu c XF{ bHP 5d(U UN ed 746

    ULz UWU Ud; lOMB U w qLF U

    dOJ tU WOd; c TUJ UB r Q

    qI ld u i UB( UNO ZM w

    746 UbI b s eM U bFLse s WUM b*

    4\3 U bu UB( Q dc VUM* s

    UdI uKO

    (Electical Energy) WJKN* WOzUdNJ WUD YO UNb s WOzUdNJ eN_ b WdF0 WJKN* WOzUdNJ WUD V%

    se bI WUD WUU se uKOJU bI (KWh) WU uKOJU WUD bI YO

    UOI b vK lUB* UM* w WOzd lu Wu u%

    kpKN* UNOK UM VU w WJKN* WOzUdNJ WUD

    w WOzUdNJ WUD N d_ WOzUdNJ eN_qJA

    uN nOJ Wb 5 eN q WOUF bI eN_

    UO( w b WFzUA eN_ iF b `{u wU b'

    WOKLF

    UNbI

    U{ `OUB100 v 10s d WHK bI du

    WOzUdNJ UJL 2000-1000

    WOeML W300

    WOzUdNJ WbL 2200

    WOzUdNJ d_ 3000

    ueHK UN 80

    WOzUdNJ WUD UO UN qJA

  • U w WJKNL WOzUdNJ WUD V UU (8) bL qLF uKO (2) UNb WOzUdN Qb

    UK (30)WU uKOJ dF U UNHOUJ dH c

    q

    uKO (2) QbL b

    UU(8) qLF s

    UK (30) WU uKOJ dF

    WU uKO WJKNL WUD

    UK N nOUJ

    se bI WUuKO WJKNL WUDWU uKO 16 = 8 2 = WU uKO WJKNL WUD

    WUuKOJ dF WJKNL WUD WJKNL WUD nOUJUK 480 =16 30 WJKNL WUD nOUJ

    b WKWUML UF WLKJU dH

    w WOzUdNJ bI

    w bI UO b

    vK uU bI bI rI uKO v uU bI qu ?

    ? uKOJU bI bI dC v uKOJU bI qu

    UF wJOUJO* UB( ?

    ? UB(U bI bI dC v UB(U bI qu

    wU_ bI uUI mOB V

    (220) bN U S dO (3) bI UO V WOeM W `D s bOK W s

    uU tb V Xu

  • uU QbL b V dO (11)bI UO V Xu (220) bN qLF WOzUdN Qb

    uKOJ

    c t c UO b V Xu(220) bN qLF uKO (4) tb wzUdN U

    qL

    WUIL UO Wb bI wDF w WF V

    uU sL b V dO(5) bI UO tO d (50) tUI wzUdN s

    uKOJ

    WUIL bN Wb bI wDF w WF V

    UBL b V Xu (220) bN (806) tUI wzUdN UB

    WJKNL WOzUdNJ WUD wDF w WF V

    Ue WJKNL WOzUdNJ WUD UOI WOKLF bu d

    WOzUdNJ WUD V UOu WU (12 bL qLF uKO (1,5) UNb WU W

    UK (30) WU uKOJ dF U UNHOUJ WJKNL

  • b??????????????? udO uU b bN UO UqOK w uU b sJL t oU b w XE bI

    UM sJu wu vK Wuu UUI b b WUI vK u w WDO WOzUdNJ

    dHL uU bU UNKOK sJL w bIFL WOzUdNJ b s dOJ

    UuO Ud qFbIFL WOzUdNJ b qOK WOKL dO w dD sOuI s bbF UM

    bIFL WOzUdNJ b qOK udO wuU

    uU rU _ uUI dF bIFL WOzUdNJ b qOK ULN UuU udO Uu rUF l{

    qOBH s wA sOuUI sc dAM bNK udO uU wU uUI vL ULMOUOK udO

    UOK _ udO uU w qOu dH WDI bI w WOzUdNJ UOK d uLL vK uUI c hM

    d uLL uI sJL YO j uB uUI c WUO sJL dH U WOzUdNJ b

    bIF fH s WU UO uL U bI WMOF WDI v WUI UOK

    wuU w u??? d `KDB tuM V

    UN lL w WODI uM U WOL v dOA udO

    WUML U UNzUDS pwzUdN bN UO q

    WU uJ Wu uJ UUN

    kqJA v dE _ udO uU rNH

    W pUM ULMO bIF v tL bOu u 1 UO UM

    bIF fH UG 4UO 3 UO 2 UO UO

    d od t bu tS bIF v 1 UO qb UbM t

    d_ UH od s UGL u u

    wK UL UUMJ WUF v c UMLd u

    _ UO

    wU UOYU UO

    ld UO

    _ udO uU qJA

    4UO 3UO 2UO 1UO

    I1 = I

    2+ I

    3 + I

    4

    I1

    _ I2

    _ I3_ I

    4 = 0

    VU bIFK UGL UO Vu bIF v qb UO Ud UM UM k

  • U??????????????qJA w I

    3UO U WLO b

    q????????????????( v UN (I

    3) (I

    1) UO dH

    bIF UG I4 I

    2 UO ULMObIF

    uL UOK udO uU UMI

    U bI WMOF WDI v WUI UO

    bIF fH s WU UO uL

    I1 = 6A I

    3 = ?

    I2 = 3A

    I4 = 5A

    qJA

    I1 + I

    3 = I

    2 + I

    4

    6 + I3 = 3 + 5

    I3 = 8 - 6 = 2A

    bNK wU udO uU WOzUdNJ b w WIKG WIK vK wzUdNJ bN rO lOL d uLL vK uUI c hM

    dH U

    UUIL d{ qU d uLL uI sJL YO j uB uUI c WUO sJL

    UNO WOzUdNJ WFb uIK d uLL U WOzUdNJ b w WIKG WIK w WU UO

    b VOd w uQ

    emf = I x R

    bFuUI c oOD UM Wd U v U V

    VDI v VU VDI s WUDK WOzUdNJ WFb uI U

    d U UWUD w UO U s dEM iG UN VuL

    UNO UO U fH uN WUIL wd sO bN

    R1

    V1

    E1

    E2

    V2

    R2

    wU udO uU qJA

    wzUdN UO WOzUdN WF u q S Vu* wb U& uWU UI U& Uc S

    UU uJ p nU U q Uu uJ WU UI U& w

    qJA w WMO* WIK( vK bNK udO uU oD UM

    E1 - E

    2 = V

    1+ V

    2

    E1 - E

    2 = I (R

    1 + R

    2)

  • U????????????qJA w WMO* b w WUI q w U* UO WLO V

    R1

    68

    E1

    12V 9VE2

    R2

    33

    R3

    22

    I1

    I2

    I3

    I3

    bIF

    qJA

    q????????????????(bIF vK UOK udO uU oOD

    I1 + I

    2 = I

    3

    dHBdO WIK( vK bNK udO uU oOD

    E1 = I

    1 x R

    1+ I

    3 x R

    3

    E1 = I

    1 x R

    1+ (I

    1 + I2) x R

    3

    12 =68 I

    1 + 22 (I

    1 +

    I2)

    12 =90 I

    1 + 22

    I2

    ........ (1)

    dC)dHBWOU) dJ WIK( vK bNK udO uU oOD

    12 - 9 = 68 I1 - 33 I

    2

    3 = 68 I1 - 33 I

    2 ........ (2)

    d{3 ? v_ WUF* dC uIM2 1 5O 5UF* q UMOK V

    vK qBM 2 ? WOU WUF*

    36 = 270 I1 + 66 I

    2

    6 = 136 - 6 I2

  • vK qBM 5UF* 5U lL$ r

    42 = 406 I1

    I1 = 0.103A

    v_ WUF* w (I1) WLO s uF r

    12 = 90 x 0.103 + 22 I2

    I2 = 0.124A

    I3 = I

    1 +

    I

    2 = 0.103 + 0.124 = 0.227A

    WK

    UOK _ udO uU h d qJA w ld UO U& WLO V

    bNK wU udO uU h d qJA w WMO* b w UO WLO V qJA w WMO* b w UO WLO V

    I1 = 4A I

    3 = 3A

    I2 = 2A

    I4 = ?

    qJA

    R1

    8

    12V 6V

    R2

    6

    R3

    4

    R1

    9V

    R2

    8

    612V

    qJA qJA

  • UFu*

    b dUM b UNHu WOzUdNJ WUI* oU w X

    WOzUdNJ b dUM s d dBM vK dF WOzUdNJ

    uI wzUdN dBM u lu*U (Capacitor). wzUdNJ lu* u

    wzUdN U qJ vK sA WOKL UM w WOzUdNJ WUD eU

    UFu* dAM b c w mdH WOKL UM w UN

    WHK* UNBzUB UNuUFu qJ

    lu* VOd uN q WU U ULNMO qBH 5u 5ObF 5u s tUJ j w lu* uJ

    lu* wu s u qJ qu pOdO s u UJO* pO s u XeU lA* u

    tUJ j w lu* VOd WId qJA 5 qOu d

    lu* VOd qJA

    lu* qL WO qJA w WMOL WOO{u udU WUFU luL mdH s WOJOUJO dIH c w gUMM

    UdJ s qUL b bu c luL vK oD dO bN k qJA wH

    luL wu sO bN d bu wUU u q vK d

    b?????????????????????

  • w sOL S UHL bMF

    V WUD uI qJA

    uK vK uuL d UdJ

    UL VuL UND UU luLK uKF

    s UdJ s WU WOL lb uI

    luLK wKH uK u VU UND

    tLO b b w UO dL pc WO

    bI R WOU WUIL WUu

    WM tODF d UdJ uKF uK

    vK d UdJ U UL Wu

    c R WU WM tODF wKH uK

    luL wu sO bN d bOu v

    qJA V WUD wD sO bNK UU tOu sO bN d `B v luL s dL

    bN `B UbM Xu 10 luL wd vK bN `B v b w UO d dL

    WUD bN luL bN sO d bu bF r t_ UO d nu WUD bN UU luL

    luL kUO UHL ` sJL UuA luL tO `B c Xu w t ? qJA sO

    uK s tuD t wzUdN U qJA uJ w luL wu sO uuL tM vK p bF

    r bNK bBL dOB dH tb sJL b s luL qB bM VU uK v VuL

    sA UO pc k d d UF v tu uF YO wzUdN qL tK bM tM mdH

    luL wu sO WUF UL uu dE tH luL d dL WOU b w dL mdH

    WOzUdNJ WF b tOK 5F bN oOD bM lu UNe lOD w WMA bI* UO w (Capacitance) WF

    bI (F) d(U UHK ed U rUF v W UH vL bu UI (C) d(U UN ed

    :WOU WFU lu* WF

    uuJ We* WMA

    XuH u_ 5 bN' d = UH WF

    C = Q

    V

    lu* mdH s WOKL qJA

  • nF UuUM F UdJO* b qLF c b UL{ uJ U (1) tF UFu ULK WOKLF UIOD w pF UuJO

    U1 10-6 F UdJO*

    U 1 10-9 nF UuUM

    U 1 10-12 pF UuJO

    lu* w We* WUD uK v Vu* uK s tuD t wzUdN U qJ vK WOzUdNJ WUD lu* e

    5 bN' d WLO ld WF WLO d{ qU l Ud lu* w We* WUD VUMVU

    WOU WUF*U vDFlu* wdE = 0.5 CV2

    YO

    u'U WUI WUD WLO =E

    UHU WUI WF =C

    lu* wd 5 bN' =V

    UFu* u 5OU 5L v UFu* rOI sJ1

    WLOI WU UFu* WLOI dOG UFu*

    WLOI WU UFu* WdA q s WF b; lu* u WLOI XU lu*

    d bI tF bI tL vK q YO WFUB

    iF qJA 5 tOd vK oD uL* bN'

    b w Wb* WLOI WU UFuLK WFzUA UJ_

    WOdJ

    WUF U* uM UF WLOI WU UFu* u s uOMu_ s 5I s uJ wu lu* XeU lLAU lA* u s WIO WI ULNMO

    kH% WOzUOLO U0 nKG r UF WuL* nKWO UFu qJA

  • WOU U q s p XeU uK2 wbF U w rJ dOG wbF U w

    WOu UFu* WF d bze Wu s lu* kH vK bU* u w eF

    UFu* bXu 600 bF U U UNKOGA Uu UdJO 4 UuJO 3000 5

    lu* Ud; w qOGA UFuL WOu

    U s WOA u_ c b WOJO UFu* u* u iF s u `zUH s U{u WOJO

    dOu sdOu WFzUA WUF WOJO

    5KdOu UudJOu

    U ju UJO* s WIO `zd s uJ UJO* lu WIO WID UN UJO* `zd vKD b WObF u 5

    w lu* vL WObF* u_ q q WCH s

    UNM d WU WID nKG wCH UJO* lu WU( c

    qOu Ud

    Uu UL UObF UI tON wDG pOdO s u s uM c uJ pOdO lu lu*

    dOGB UNL dOJ UNF UFu* c eO2 s WOOdJ WOzUOLOJ UFu* uOMu_ s u w UI b s Vd UFu* s uM c Q qJA 5

    uK q WUM WOzUOLO U0 WFA u s WI uOMu_ bO s WU WI wKH

    uK qJA dL WcG bN l lu* qOu bMF uK uOMu_ s u uOu_

    U tu UF ju u tOK Vd* uOM*_ bO `B luLK Vu* VDI wKH

    luLK VU VDI uKF uK u WI qJA ULMO bO

    s uM c q bMF wzUOLOJ luLK Vu* VDI vK b WOHO qJA 5

    d db' WOU d_ bN' WDI l Vu* dD qu WOdJ b w UFu*

    WDI* WOzUOLOJ UFu* b sJ1 UL tHK UH v R wzUOLOJ lu* WOD fJ

    d* UO w

    sJ1 lu* wu wD u bO_ UI VOd WDI* dO WOzUOLOJ UFu* lMB

    d* bN' dL* bN' UB l UFu* c b

    WO WKu dH UNMe bM UNHK UNOD 5 U d u WOzUOLOJ UFu* U s

    tHK UF UH'

    WOJO UFu qJ

  • VU VD

    Vu VD

    U

    wbF u

    uOM* U

    wJO

    wzUOLOJ lu* VOd qJA

    w lu* vL uOMu_ s b uOUM b sJ1 WOOdJ uOUM UFu U9 UN WOOdJ uOMu_ UFu s WHKJ d w uOUM lu WU( c

    d( W dOG l UNF U UNL dGB uOMu_ UFu s UNdOE vK

    se bM UNO d u

    :(Variable capacitors) WLOI dOG* UFu* dz qJ vK UM uOMu_ s Wu `zUH s UFu* s uM c uJ

    `zUH s WuL l qbU `zUHB cN `L WIdD bK qU u vK WUCO

    qJA w 5 UL uN w UFu* s uM c w WUF U* uJ WU* w UN WU d

    l{ V UNM WHK UF vK uB( sJ1 ud eN w UU UFu* c b

    lu* WF uJ WU `zUHB l UOK b `zUHB qb UbMF iF l UNCF UNKb u_

    dGB UNLO bM WF uJ UOK uH* l{u v `zUHB b UbM U vLEF UNLO bM

    Ue dOG UFu qJA

    b (Trimmer Capacitor) oOb jC lu rU dF dOG* UFu* s U u UM

  • od s U p rWuKD* WLOI j{ dG WF w WHOH dOOG b w WU( uJ UbM

    jC wd WDu 5uK 5 WU* dOG

    UFuLK WOMH UHu* hzUB) c r uKD* ULF rz* lu* UO UNu0 r WMOF WOM hzUB UFuLK

    WF r vK WuJ UuJO UuUM UdJO*U UNM dF* luLK WOL WLOI w

    lu*

    dI* WOKOGA WOuH WID UON v R WLOI c U& lu* vK dLU UNDOK uL* uBI WOuH w

    r UF WI pL l Ud WLOI c VUM tHK v R U2 lu* wu 5 uu* WUF

    lu* r vK UNLO qO s d* dL* bNK WMU dI* WOKOGA WOuH s dOF

    Wb UH ?Wu* WMU tM dF WOL WLOI s t uL* vB_ d u

    d( W qUF b Wu W d( W dOG l lu* WF bI dOG u

    d* UO ? W bM tM dF dI* WOKOGA WOuH jOK bM wzUdNJ UF w U dL* UO u

    WMOF d

    eF WUI WMOF d W bM tM dF dI* WOKOGA WOuH jOK bM wzUdNJ eF WUI w

    dI se s WMOF b vK b d w qB c Wu* WMUlu* WF WLO dOG u

  • UFu* qOu wK UL u vK wu vK UUI* UL UFu* qu

    c UF WUL WHUC TUJ wu vK 5Fu q wu vK UFu* qOu uL TUJ UF WUL tO b luL LF wu vK 5uu* 5Fu* wMF

    5uK 5 WKUH WU* l UOJ UUM VUM WF U0 5Fu* w UF wUL

    WOKJ WF WLO iOH v R UF WUL U S

    wu vK UFu* qOu qJA

    5Fu* vK WOzUdNJ WMA uJqJA w 5 u UL wu vK UFu q

    5HJ* wu 5 bN' d uL UO (VT)wKJ bN' d UWU

    VT = V

    1 + V

    2

    Q

    CT

    = Q

    C1

    + Q

    C2

    1

    CT

    = 1

    C1

    + 1

    C2

    uKI U W&UM WUJ* WF uKI SUFu bF wu vK qOu WU wd vMF0

    WuL* w lu dG WF s q WUJ* WF uJdHM* UFuLK WHK* UF s q

    WOU WFU vDF WUJ* WF WLO uKI Swu vK UFu* s n b q

    1

    CT

    = 1

    C1

    + 1

    C2

    + 1

    C3

    + ...... + 1

    Cn

    u vK UUI* U WUF* U c t qJA WUF* cN k

  • U?????????????? uKD* wu vK Wuu (C

    3 = 2 F) (C

    2=3 F) (C

    1=4 F) UFu W

    WuL* cN WOKJ WF U

    q????????????????(1

    CT

    = 1

    C1

    + 1

    C2

    + 1

    C3

    1

    CT

    = 1

    4 +

    1

    3 +

    1

    2 =

    13

    12 = 0.92 F

    lu* u WU WHUC TUJ u vK 5Fu qOu u vK UFu* qOu uL TUJ Wu WU tO b luL LF u vK 5uu* 5Fu* wMF c

    U S lu* u WU l Ud UUM VUM WF U0 5Fu* wu wU

    WOKJ WF U v R lu* u WU

    u vK UFu* qJA

    q wd 5 bN' d uJ WU( c wqJA w 5 u UL u vK UFu q

    5Fu* wM uL* WU uJ WOKJ WOzUdNJ WMA U(VT) bB* bN' UU ULNM

    QT =Q

    1 + Q

    2

    CTV

    T =C

    1V

    T + C

    2V

    T

    C

    T =C

    1+ C

    2

    uL* U W&UM WUJ* WF SUFu bF wu vK qOu WU wd vMF0

    vDF WUJ* WF WLO Su vK UFu* s n b q dH* UFu* UF d'

    WFU

    C

    T = C

    1+ C

    2 + C

    3 + ...... + C

    n

  • vK Wuu* UUI* rO lL q lL& u vK Wuu* UFu* UF rO k

    WH bN' WLO UNOK oD u vK Wuu* UFu* UL wu

    U???????????? WOKJ WF V u vK Wuu UdJO UNM q WF UFu W

    WuLLK

    q????????????????(C

    T = C

    1+ C

    2 + C

    3

    CT = 5 + 5 + 5 = 15F

    sAK wMe XU U_ RC rU dF w UUI UFu s WuJ* WOzUdNJ b q9 U tu

    Ucc* WOdJ Uu* U UCM qOJA XOu s bbFK WMU

    WUI lu mdH s WOKL wQ ULO UMM

    sA WOKL b UH* bMF qJA w UL WUI wzUdN bB WUu U lu* sA

    UdI dH `B v hUM YK UO dO UO b w d1 wzUdNJ bB* s sA lu*

    `B v UOb be r dH sA b bM lu* wd 5 bN' d uJ sA UN bM

    sA WUN bM wzUdNJ bB* bN' UdI UU

    R

    Vs

    Vc

    Vs -V

    c

    C

    I

    se1RC 2RC 3RC 4RC 5RC

    W

    sA

    bN vMM

    UO vMM

    lu* mdH s vMM qJA

    sAK wMe XU bB* WOu WLO s 63.2% v WOd 5 bN' d qB v lu* sA se dF

  • WO WUF*U tLO vDF lu* sA wMe XUU

    = RC

    YO WOUU wMe XU

    R_U WUI* CUHU lu* WF

    WLO s 63.2% v lu* wd 5 WOuH qB YOlu* s vMM qJA 5

    wMe XU WLOI WOU WOMe dH WUN w wMe XU WLOI WU WOM d w bB* WOu

    s 63.2% v qB WM lu* wd 5 WOuH WLO be u (2RC) U iIM s bF (5) U WOM d d bF sJb U lu* s r sWdEM WOUM scJ wI* e'

    U2bB* WOu WLO s 99.3% v lu* wd 5 WOuH qB(5RC) sAK wMe XU UF{

    tKLQ UuA lu* U s UMMJ1

    v UOb hUMU cQ r sA WOKL b bM UO dO uJO lu* s UO WMU U

    WOM d w wzb* UO s 37% v qB WM UO qI usA UN bM UdI dH `B

    U iIM s bF wMe XU WLOI WOU WOMe dH WUN w wMe XU WLOI WUcJ wI* e' s d 37% v qB WM UO qI u (2RC)

    U???????????? uKO(200) WUI* WLO UdJO lu* WF d qJA w

    WKU uB lu* sA se lu* sA wMe XU V

    q????????????????( = RC

    = 200 x 10+3 x 2 x 10-6

    = 0.4 S

    WOU wKO 2 5 0.4 5 wMe XU sA s

    mdH WOKL ? o lu s WMA mdH bM b U vK dFMUFu* s WOHO vK UMdF bF

  • 5 sA U lu qOu r UbM tM

    tM mdH lu* b WUI wd

    lu* wd 5 bN' d cQ WUI*

    5 u UL w vMM o UOb hUMU

    wd 5 WOuH qB YOqJA w

    WLO s37% UdI 36.8% v lu*

    XU WLOI WU WOM d w wzb* bN'

    5 bN' WLO qI u 2RC U s bF wMe XU WLOI WOU WOMe dH WUN wwMe

    U qJA lu* mdH r sWdEM WOUM scJ wI* e' s 37% v qB WM lu* wd

    lu* wd 5 bN' qB 5RCsAK wMe XU UF{ 5 U WOM d d bF sJb

    U qJA UdH lu* U s UMMJ1 U2 wzb* bN' WLO s 1% v

    UFu* eOd WbtF w UL WLO qOGA bN WF q t WOMH UHu* lu* r vK lD

    UHu* c WUJ d b U r uBI qOGA d W

    UNM d( U_ tO b wL u U UNM lu* r vK

    wu u U

    qLA rOI c tOK WuD tUuKF uJ UFu* rEF

    WF W pc lu* bM qLF c bN' WF

    cN ned b UdJO*U ULz WF uJ WF UuUMU WF wMF

    VJ UO_ s dO w V d( tF rd vDF bN' V d(

    b' w WMO* d( WUu lu* WF w UHWb WLO bb% r WbwU qJAU W{u d U vK WK_

    p bF d r U W s uJ ed 5LO v UO s Uuu uJ lu* k

    w u ud c dOH W 5L

    pc 2 U S dC qUF u YU rd UuJOU WF w UO s 5L

    cJ 1000 w WdC WF wMFO 3 U 100 w WdC WF wMF

    se1RC 2RC 3RC 4RC 5RC

    W

    mdH

    bN vMM

    CR

    lu* mdH s vMM qJA

    UFu* eOd qJA

  • d( U 10% wMF K d(U Wb b U_ l c d(

    20%wMFO M

    bM qLF c bN' b% d( l w U W ULd

    lu*

    U???????????? p wMF UL 474K63 wU edU dR lu

    q????????????????(

    w lu* WF 10000 dC qUF uJO 4 u YU rd UM

    UdJO 0.47 U c UuJO 47 x 10000 = 470000

    10 % w WF W K u W U_ bF c d(

    63 bN' U* c w bN' b K d( bF 63 ULd

    UuJO 47 47 UO s 5L b$ Xu

    UFu* UD WO UD_ U/ b v WOdJ WOzUdNJ b w Wb* UFu* dF b

    u dBI lu* idF s b ZM b c UF UON WO UF lu* wu UB s qDF c ZM

    c t uL* b( s td W UNO lHd d w tKOGA t UON WOu s vK WOuH

    qB b b WCHM WUI tUI UO bM lu* wDF YO UuO UFu* UD d s qDF

    dH v

    WUI tQ dB lu* tBzUB) UF ju bIH UbM U qDF c ZM tUI UO bM WU WUI wDF

    WUI tQ dBO

    WuH ?wzUOLOJ luLK b UL UH td b UBH s U qDF c ZM

    d( UHF 1%

    G 2%

    J 5%

    K 10%

    M 20%

    N 30%

  • WF dOG s d WF WU( c w lu* wDF

    s p ZM uK qJA q dI* tF

    WOB dE s qOGA d

    lu* WUI UOI qDF c UA sJ1

    WF UO UN b s WU( c w b

    WLOIU UN' d WUI lu* WF UOI

    eN d db' lu* r vK WK*

    u_ w du X WOLd WF UO

    qJA lu* hH dO_ b sJ1

    WUI 1Fs UNF be w UFuLK wzb

    qJA UHU UNLO b r Wb w WCHM

    "U p b WOU WLO bM X v wb

    dO_ UN WUD s lu* s WOKL s

    WODIU dO_ UN lu* qu U V

    WOB ZzUM vK uBK WOBwLd WF UO UN qJA

  • WK

    WOU qL' qL ................................................................ UNb WOzUdN dUM UFu*

    .............................................................. s tUJ j w lu* uJ w UFu* w wzUdN UF Wb* WUF u* ?

    ................ ................ ................ ................ ............... ................

    ................................................................................. WOzUdNJ WF pc b dO b UNMJ ........................... w WOzUdNJ WF UO b ?

    WOU WF UO b WOKLF UIOD w b

    ............................ Ue ............................ ............................ Ue ............................ ............................ Ue ............................

    .. ......................... ......................... w qu W lu WF 5F ........................

    ....................... l Ud ....................... l UOJ VUM lu* WF .......................

    ......................................................................... s wu lu* uJ ..................................

    .................................................. ? se u lu* sA wMe XU ..........................

    luLK UF VOd `{u UODOD UL r wOdJ lu* VOd `{u UODOD UL r

    dOG lu VDI* wOdJ lu* U e lu WOU UFu* u r U e

    UNM d luLK WOMH UHu* r d (6) wU WF UdJO (4) _ WF 5Fu q s W&UM WOKJ WF V

  • u vK r s wu vK UdJO

    V (2000) WUI d sA UdJO (7.4) tF lu sA wMe XU V WKU uB tMA se

    WOU UFu* WUI UO bM UNOK uB( lu* dO_ UN d d ................................................ UdJO (40) tLO UD_ s U lu

    UdJO (6) tLO UD_ s U w wOdJ lu tOu UB UF UON v U2 t UON WOu s vK WOuH dF lu ?

    ....................................................................................................

    lu* r q lu* u s uBH td b UdJO tLO w lu ....................................................................................................

    ..................................................

    WOU UFuLK UH W WF WLO V ............................................................... (2n2k) tL vK uJ lu .......................................................... (22M1KV) tL vK uJ lu ................................................................. (104) tL vK uJ lu ?

  • b???????????????uUM* UO

  • WOOUMGdNJ

    UNu wzUdNJ UO s W&UM WOOUMG* uI U* w WOOUMGdNJ u{u Y

    WOOUMGdNJ WdEM qLF UOu b w _ eN_ s dOJ YO UNULF

    WOOUMGLK WOU_ U* dc s b u; bu* Ud;U

    WOOUMGLK WOU_ U*

    WOOUMG* u* UNM WuJ* pzU XUuJ qJOM uH bb( q fOUMG* c uI dQ w u* w

    WOOUMG* dO u* Ue VA) uOM*_ UM q fOUMG* c uI dQ w u* w

    wFOD fOUMG* ? qJA w 5* u WFOD w uu* bb( UU b u

    UO w UOOMG WMb s dIU fOUMG* UbI od nA b

    dGB

    wFOD fOUMG* qJA

    wUMB fOUMG* WO dD bQ WDMG* WOKL UNOK d& UNJzU s WdF* WOOUMG* u* b s lMB

    pbU WDMG* d fOUMG0 WOOUMG U s VOC pb

    dOQU WDMG* d fOUMG s dIU WOOUMG* U* l{u

    b?????????????????????

  • UdNJU WDMG* UuO d_ w WIdD c WOOUMG U s VK u uHK qu w wzUdN UO ddL

    WOKLF UO( w

    U rzb fOUMG* WUM w XUuJ qJOM s W? vK u?% w uH pzU b

    UC WuN UbIH tMJ WuN tDMG sJLO UF bb(

    fOUMG* UD ? d(U t ed wuM VD (N) d(U t ed wUL VD 5OOUMG 5D fOUMG qJ

    WOKLF U X btHBM u XN& ULK nFC tOD bM fOUMG* u edL (S)

    U WHK* UD_ dUM WNUA* UD_

    WO{_ WOOUMG* vK u qO1 r{ fOUMG s U w WO{_ dJ

    (N)wULA tD lI 11 UbI We _ u

    lI ULWO{_ dJK wdG' wuM' VDI s dIU

    dJK wdG' wULA VDI s dIU (S) wuM' tD

    U* ULKF uI qJA w `{u u UL WO{_

    Ud UNH u _ v uF wOUMG*

    dNBM* wbF* _ VK w WOzUdN UOWO{_ WOOUMG* qJA

    WKu t tS UOI dO d wOUMG VOC oK

    c vK UL UdI _ u U&U UuM UL

    UU& 5F w WKu XKLF WIOI(

    uH s WFO WFD s U w Wb( WKu

    Wd( d uJ YO dOG u vK edL jMGL*

    WOOUMG* WO{_ UD_ v U dOA w UOI

    WKu qJA

  • wOUMG* U* ?WOOUMG* U UNO dNE w fOUMG*U WDO; WIDM* u wOUMG* qI( U*

    WOOUMG* uI uD w WOOUMG* uI uD wOUMG* U* qL

    u ULO dOG wUL VD c c U* 5 WOL uD

    fOUMGLK wOUMG* qI( WIDM w Wd( d dwOUMG* U* qJA

    l{ - sJ UN sJ1 wOUMG* qI( U* qJA w WOOUMG* uI uD

    tu qJA w `{u u UL UNu bb d d Ue udJ s WFD X% fOUMG

    WOOUMG* uI uD d pMJ1 p bM WOOUMG* uI uD V bb( d

    WOOUMG* uI uD eO2 r s WU) WOOUMG* uI uD t wuM' VDI v wULA VDI s wOUMG

    VDI s UNU qLJ wOUMG* r' q U

    qJA w 5 u UL wULA VDI v wuM'

    w WOOUMG* uI uD Q wMF c

    qHI U t UNO j q WKB uD

    jMG2 VOCI WOOUMG* uI uD qJA

    5 u UL UIKD lUI WOOUMG* uI uD fOUMG* r XOH - u v qJA w

    lUI UH bN tKJ tuAlUI WOOUMG* uI uD qJA

    WOOUMG* UD_ 5 dUM U u ZM WOOUMG* UD WOOUMG* uI uD qUH s

    qJA w `{u u UL

    UD WOOUMG* uI uD qUH qJA

  • WOOUMG* WUJ b wwOUMG U w U WDI bM wOUMG* U* u b s dF WOOUMG* WUJ

    vL bu UI (B) d(U UN edld* d* WU* b d WIb* WOOUMG* uI uD

    Tesla

    wOUMG* iOH vL WDMG2 bb WFD w wOUMG* U* uD) wKJ uL* U

    (B) WOOUMG* WUJ d{ qU u(Weber) du bu UI d(U t ed (FLUX)UNOK uL qJA wOUMG* iOH UNODG c (A) `D WU0

    = B X A

    U* WU vK wKJ wOUMG* iOH WL qU UFWOOUMG* WUJ U

    B = A

    U dF ld dd w WOOUMG* WUJ b

    U?????????????? iOH WLO b 2r 20 WU wDG wK 2.5 tU dH w wOUMG U

    wKJ wOUMG*

    q????????????????( 2.510-3 wK 2.5 = B

    A = 20cm2 = 20

    10000 =2010-4m

    ? =

    = B A

    = 2.5 x 10-3 x 20 x 10-4

    = 50 x 10-7 = 5 x 10-6

    = 5Wb

  • (Permeability) WOOUMG* WUH uI uD eOd dd9 vK U* b s dF w

    WUH qUF uH bb(U WOOUMG* uLK WOOUMG*

    u* U WCHM WOOUMG* uI uD) UN{UF lHd

    WOOUMG WUH qUF UNK pO uNU WOOUMG* dO

    uNKK lHd WOOUMG* uI uD) UN{UF iHM

    qUF ULMO ddM 12.57 10-7 U WUH qUF

    d ddM 2400 u; bb WUH

    WOOUMG* uI uD d9 qJA

    UN qN_ dL* w

    bb WFD XF{ S UN qN_ U* w d* qCH UN WOOUMG* uI uD hzUB s

    d t lL WOOUMG* uI uD S qJA w 5 u UL fOUMG* wOUMG* qI( w

    uN s qN d2 UN qJA bb( _ bb( WFD

    qUF UddM12.5710-7 4 10-7 tLO 0 edU UH eO( WUH qUF* ed

    WOM WUH qUF 0 UH eO( WUH qUF d{ qU WDMGL* ULK WIKD* WUH

    r)wOUMG* juK

    =r

    0

    qUF UNK WOOUMG* u* U dH WUH qUF UdI UF WUH qUF UN WOOUMG* dO u*

    w b' w 5 u UL lHd WUH

    WOOUMG* U*WOOUMG* ULK WOM WUH qUF0.002W/m2 U U WU bM

    wOUMG* bb(200

    qJOM100

    78.5%s WuJ WJO

    bb +21.5%qJO8000

    +2%qJO 75%s WuJ WJObb +18% U +5% d

    20000

  • WOOUMGLK Wc WdEM duE dOH WOOUMGLK Wc WdEM b

    fOUMG* bI pbU WDMG* q WHK* WOOUMG*

    s p dO dDK t{dF bM WOOUMG* tuI rzb

    s q vK WdEM c hM WOOUMG* duE

    U* w t b dOG fOUMG w WOOUMG* U*

    uJ qJA w `{u UL WDMGL* dO WOOUMG*

    UF YO UNMO ULO WU wzuA qJA WN c

    WDMG bM UOU UOOUMG d UN dNE UOOUMG

    Ud o w dD bS WOOUMG U s VOC

    w UL tOd w WOOUMG* UNKB dNE t Vd

    qJA

    fOUMG

    Wd( U&

    jMG2 dO VOC

    jMG2 VOC

    WOOUMG* U* VOd qJA

    WDMGL* dO WDMGL*

    WOOUMGdNJ nA WOOUMG* UdNJ 5 bO W bu

    UO d UbM t U w bO wU*_ rUF

    UOOUMG U qu* c u bu qu w wzUdN

    TUM ULK UO{u wK ULO qu* p qJ U ULN

    u* w wzUdNJ UO d s

    rOI qu w wzUdNJ UO d u bu rOI qu w wzUdN UO d UbM

    tH qu* Ued dz qJA UOOUMG U qu* c

    uL u w uu uJ qu* c u vK b9

    UbF ULK bUqu* s UMd ULK UI qu* vK

    U* uD U& Q ULK qJA w 5 u ULtM

    qON q squ* w U* UO U& vK bLF qu* u

    bOF U&U qu w qb UOK ed `KD rd WOKL

    U) UOK ed UL U UNKb dOG b dUM s U UNKb dOG b dUM U&U qu* s

    qu u U* uD qJA

    wzUdN UO tO d1

  • dM qu w U* UOK wOUMG* U* jOD sJ1

    qJA qu* c UNd udJ s WFD vK bb( d

    qJA w 5 u UL uL VUM qu* s dIU U WDI bM (B) U* WU

    WU* l UOJqu* c w U* (I) U?O b l Ud

    u ju UM{d (r)qu* 5 UNMO WuLF

    qu* s dIU U WDI bM WOOUMG* WUJ vDFdH

    WFU

    UOK wOUMG* U* jOD qJA

    rOI qu U* wzUdNJ

    B =

    0I

    2r

    U???????????? tb UO t d1 rOI pK s 350 Ub WU vK "UM wOUMG* U* WU b

    dO 20

    q????????????????(

    B = 12.5 x 10-7 x20

    2 x 3.14 x 50 x 10-3

    B = 800 x 10-6 = 800T

    vMLO bO bU WOOUMG* uI uD U& bb WdF bUI c

    c qJA `{u rOI qu u bu*

    b9 qu* vK vMLO bO iI pQ qO YO bUI

    WOI U& pbO qu* w U* UO d U&U pUN l

    qu* u wOUMG* U* U& v lU_ U& bb vMLO bO bU qJA

    rOI qu u wOUMG* U*

  • weK nK s "UM wOUMG* U* ? nK qJ vK qu w wzUdN UO d UbM

    qu* c u bu qJA w 5 u UL weK

    fOUMG* tM c wOUMG* U* tA UOOUMG U

    U* UHK UNM w U* uD b YO rzb

    s "UM wOUMG* U* tu w tA bu U uJ

    rzb fOUMG*

    wOUMG* U* qJA

    weK nK s "UM

    nK u wOUMG* U* u Ue d UMUO Ue r v_ WIdD

    UHK b U WOU WIdD ed w bb VOC US r WU WIdD v R U2 qJA w 5 u UL nK*

    WUHM V dO qJA wOUMG* U* u U

    uD eOd v UD* bbK WFHd* WOOUMG*

    wOUMG* U*

    wOUMG* U* b U qJA

    nK* ed w bb VK UU

    WO WFU qu weK nK ed bM (B)wOUMG* U* WU vDF

    UO d qJ UHK b nK* VK U* WIKD* WUH (B)wOUMG* U* WU

    B = x N x I

    L

    YOnK* VK U* WIKD* WUH

    nKLK wKJ UHK b N

    d*U nK* u L

    dO_U nK* UO I

  • U???????????? WU bdO1 nK* w U* UO WLOWH 100 tUH b d 0.1 tu weK nK

    U nK* VK U* wM WUH qUF rK nK* ed bM wOUMG* U*

    79.577

    q????????????????(

    B = x N x I

    L

    B =

    r

    0 x N x I

    L

    B = 79.577x12.57 x 10-7 x 100 x 1

    0.1 B = 0.1 T

    nKLK dO bO bU UO tO d nK WOD 5OF WdF bU UM

    qJA `{u nKLK dO bO bUI dF wzUdN

    vK dO bO iI pQ qO YO bUI c

    U* UO Ud U&U b lU t YO nK* u

    VDI vK UN l b uJ czbM nK* w

    wuM' VDI u d dD uJ wULA

    nK WOD 5OF vMLO bO bU qJA

    wzUdN UO tO d1

    wOUMG U w qu vK dR* uI ? l{ sJ wOUMG U qu* c u QAM qu w wzUdN UO d t pF d

    u d qu* pd% v R 5U* 5 qUH qB d wOUMG U w qu* c

    s bOF U&U wzUdN UO qu* w d qJA w `{u u UL 5OOUMG 5D 5 l{

    U t% WOOUMG* uI uD nUJ U WO vK_ v d qu* S qb v dUM

    nUJ U WO qH_ v qu* c d U) v dUM U&U qu* w UO U& fJ

    tu WOOUMG* uI uD

  • wOUMG U w qu vK dR* uI qJA

    dLK vMLO dO bO bU w qu vK dR* uI U& bb WdF bU UM

    `{u dLK dO bO bUI dF wOUMG U

    U& v vDu l dOA YO bUI c qJA

    v vDu vK bUF WU l dOA qu* w UO

    WU vDu vK bUF UN l U* uD U&

    qu* vK dR* uI U& v

    U& bb dO bO bU qJA

    wOUMG U w qu vK dR* uI

    qu* vK dR* uI WLO wKU vK wOUMG U w UO qL qu vK dR* uI WLO bLF

    Iqu* w U* UO WLO Bqu* tO uu* wOUMG* U* WU

    Lqu* u wOUMG* U* qu* 5 We

  • WOU WFU qu vK dR* uI WLO vDF

    suOMU dR* uI

    wOUMG* U* qu* 5 We VOd*Uqu* uUwOUMG* U* WUdO_U UO

    F= I x B x L x Sin

    dHB UNLO U900U* vK uL qu* U UN WLO vB mK uI k00wOUMG* U* uD) Uu qu* uJ UbM

    U???????????? tU wOUMG U w qu* l{dO 15 bI UO qL d 0.2 tu qu

    U* uD qu* s We XU qu* vK dR* uI V 0.8

    300wOUMG*

    q????????????????( F = I x B x L x Sin

    F = 15 x 0.8 x 0.2 x Sin30

    F = 15 x 0.8 x 0.2 x 0.5

    F = 1.2 suO

    wOUMGdNJ dOQ ed w (Electro Motive Force) WOzUdNJ WFb uI bOu b (1831) U U rUF nA UO UOI dOuUHK UN qB nK qJ vK qu0 rUF c UF bI (EMF) d_U UNO

    qJA w `{u UL rz fOUMG s "U wOUMG U w nK* c d wzUdNJ

    WOzUdNJ WFb uI bOu b qJA

  • dOuUHK' dR d wOUMG* U* uD lDI qu* d UbM t U rUF k

    dR uF nK* Wd nu UbM dOQU "U qu* c w WOE( WOzUdN WF u bOu vK

    fOUMG b WOM fH vK uB( sJ1 uI c vK dHB WDI v dOuUHK'

    fOUMG* pd% qu* XO sJ1 UL qJA w 5 u UL rzb fOUMG* s b wzUdN

    d wOUMG U vK uBK UH WDu wzUdNJ fOUMG* nK w U* UO lODI

    qu* w wzUdN bN bOu wOUMGdNJ id Y( dOQU dUE c dF

    5F wOUMG U 5 UNMO WO Wd u s "U

    dOQU bu* WOzUdNJ WFb uI WLO vK dR* quF WO quF vKqu w dOQU bu* WOzUdNJ WFb uI WLO bLF

    Bqr tO d c wOUMG* U* WU vwOm* U* uD qu* UN lDI w Wd

    L qu u q wOsG* U* uD qu* UN lDI w We

    uUwOUMG* U* WU WOUd*UWdXuHUWdOQ WOzUdNJ WFb uIwOUMG* U* qu* 5 We VOd*Uqu*

    E= V x L x B x Sin

    dOQU bu* WOzUdNJ WFb uI U& dOQU qu* w bu* WOzUdNJ WFb uI WOD

    WOM Wd( U& vK bLF UNM "UM UO U& wUU

    t lDI c U& wOUMG* U* uD qu* 5

    wOUMG* U* uD qu* buLK dO vMLO bO bU qJA

    WOzUdNJ WFb uI U& bb

    l U w vK hM w buLK vMLO bO bU oD WOzUdNJ WFb uI U& 5OF

    Q wOUMG* U* U& v dOA UN vK bUF* WU l qu* Wd U& v dOA UN

    UL qu* w bu* WOzUdNJ WFb uI U& v dOAO WU UN vK bUF j_ l

    qJA w `{u u

  • b WK WOOUMG* w WOU_ U*

    WOU UdH qL ............................................................................................................ u* w WOOUMG* u* ................................. ................................. ................................. WOOUMG* u* dN s ..................................................................................................... u* w WOOUMG* dO u* ......................... ........................... ............................. WOOUMG* dO u* vK WK_ s ......................................................................................................... b u wFOD fOUMG*

    w d W WOOUMG* u* WDMG r ............................. ? ............................. ............................. ......................................................................................................... s rzb fOUMG* lMB

    UL 5OOUMG 5D fOUMG qJ ............. d(U t ed ..................................... VDI ............. d(U t ed ..................................... VDI

    ................................... WHK* UD_ ................................ WNUA* UD_ .................................................................................. WIDM* u wOUMG* qI( U* .............................................................................................. w WOOUMG* uI uD ?

    WOOUMG* uI uD eO2 r ............................................................... ............................................................... .................................. bu UI ..................................................... w WOOUMG* WUJ ............................................................................... vK u* b s dF WOOUMG* WUHM .............................................................................................. WUH qUF UN WOOUMG* u* ....................................................................................... WUH qUF UN WOOUMG* dO u*

    rz fOUMGLK wOUMG* U* uD r WOOUMGLK Wc WdEM rd l d

    WOOUMGdNJ UOUWOU UdH qL

    ................................................................................. bu qu w wzUdN UO d UbM

    ....................................... qJ vK rOI qu u bu* wOUMG* U* qJ uJ

  • .................................................................................... tA nK* tM c wOUMG* U* w W nK* tM c wOUMG* U* b U sJ1

    ............................. ? ............................. ............................. WOU u* u wOUMG* U* uD r wzUdNJ fOUMGLK wOUMG* U* uD r

    WOU u* vK dR* uI U& b dLK vMLO bO bU bU wOUMGdNJ qd* VOd 5 UD UOO{u UL r

    wOUMGdNJ dOQ UUWOU UdH qL

    ........................................................................................................ u wOUMGdNJ dOQ WOU quF vK dOQ bN' WLO bLF

    ............................. ? ............................. ............................. ............................................................. vMM l dOG* UO bu tM c UO bN' WKU r UbM U qJA w 5* dOG* UO bu nK UNM w bN' Wu vMM r ...................................................................................................................... u U* dOQ

    WOKLF UIOD w U* dOQ Ub d ...................................................................................................................... u wc dOQ .................................................... YO uJ U nK w bu* wJF dOQ bN' WOD .................................................................................................................................... w WO(

    UNUe Ue WO( UO b d nK* WO WLO b% w quF d

    ............................. ? ............................. ............................. ............................. ............................. ? .............................

    WOzUdN UHK d U* wzUdNJ UO lD bM bu* wJF dOQ bN' UC d wJF dOQ bN' Ub b d

    bI s w dO 0 v 10 s nK* c w U* UO UN dM 3 tO mK nK nK* w bu* dOQ bN' WLO V WOU 0.005 WOU wKO 5

  • UM* UOK WOU_ U*

    UM* UO dAM b c w (DC) dL* UO l wOz qJA UMKUF WIU b w

    UM* UO bu s WOOz uB tOK qB clUB* uO w ULF lzUA (AC)

    tBzUB UdL* UO s UO c eO1 c ULUdNJ Wd WDK bzUF

    gUMUM* UO bOu WOHO eO2 hzUB 5M U c vK b c w VO$

    uD d d q t WIKF* WOU_ rOUH*

    dL* UO s UM* UO eO1 c U

    WOU UIM w dL* UO s UM* UO nK

    dLL bN bB WOD U V p se dL U WLOI XU dLL UO

    qJA tUd U fJFO UML UO U U XU dLL UO qJA

    jI b U& w d dL* UO qJA

    fJFM UML bN bB wd WOD qJA tUd U fJFO UML UO U

    dLU dOG UML bN UOK WOEK WLOI UL VU VuL sO qJA

    d sOL tUd U fJF UdNJ Wd WDK t Ue c UML UO se l

    bu WOU w

    b?????????????????????

  • qJA tUd U& fJF UM* UO qJA

    uI w WOdJ bOu dLL UO bu UUD s dLL UO vK qB

    bu s WOOz uB tOK qBM UML UO U dL UO v UF UML UO qu

    UML UO bOu WOHO UI dAM UdNJ Wd WDK bzUF UML UO

    b WuN p UML bN iH ld WOOUMGdNJ uL b sJL

    v dF d v u s dLL UO qu eN bF U bI w dzU

    U WLE w UML UO UL v c wOzd V u c UHJ WCHM bIF

    rUF U lOL w WOzUdNJ WUD lu qI

    ( Waveforms ) WOu* UJ_ wu* qJA se d0 UO bN' WLO w dOG j/ 5 wUO r s U wu* qJA

    b WDu dL* bN' UOK wu* qJA UM sJ1 rOI j s U dL* bN' UOK

    bM Wd d UNH rOI bM bN' UO UUO qO UML S qJA w WMO* WDO

    qJA w 5 u UL rOI j vK qB u se l bN' UO 5 WF vMM r

    dL* bN' UOK wu* qJA qJA

  • WUI* d UO lODI UH UMb U

    dL UO Wu vK qB u rEM qJA

    qJA w 5 u UL WOC

    w Ub$ w Uu* UJ s bbF UM

    Wu* u_ pK 5 sWOzUdNJ b

    s uJ w bIF* Uu* UC UM UCM UAM* s Wu WK* Wu* WFd* Wu*WOO'

    WHK d bM UuJ* s bbF

    UuLK WFzUA UJ_ qJA

    UM* UO bOu

    bOu dU vK tKL b w UM* UO bu bLF

    w d qu w W&UM WdOQ WOzUdNJ WFb uI

    w 5* jO UM* UO bu uJ wOUMG U

    5D 5 u u WU Wd b nK s qJA

    ULNOK 5OU e wIK tOUN XK 5OOUMG

    U YO 5IK( 5U vK UIeM udJ s UUd

    qL 5UdH l WOU WUI XK ULbK WU

    tHB d WU UI U&U U b UbMF bK

    ULMO wuM' VDI s dIU U* w qH_ v _

    5HBM b w dOQU bu* bN' S cN wULA VDI s dIU vK_ v d tHB d

    v R bN' c wu vK 5UD XK u UL UU9 d nBM w dOQU bu* bN' rb

    WOudJ dH e wIK d qL( WUI w wzUdN UO ob

    sewC dL UOwCM dL* UO qJA

    jO UM* UO bu qJA

  • tU{ w WKU eM u U nK* Wd lU pOK bN' c bOu r nO d wJ

    WHK*

    90-0 l{u U* uD nK* u 5 dH We uJ UbM

    wOUMG* U* uD) Wu nK* d Wd uJ

    WEK c w dOQ bN UM uJ UNFDI

    wOUMG* U* uD lDI b v nK* b U

    v qB v UHU bN' c b dOQ bN tO buO

    s b d nK* lDI YO W (90) We bM vLEF tLO

    qJA w `{u u UL uL qJA U* uD

    180 - 90 l{u bN' b W (90)s b W be UbM

    UbM U* uD s q b lDI nK* _ UHU

    d dH bu* dOQ bN' `B W (180) We qB

    5 UL wOUMG* U* uD) Uu d nK* _ WOU

    qJA w

    270-180 l{u ? bN' b W(180) s b W be UbM

    c w sJ WOU d U* uD lDI t_ UHU

    WMU tOd U& UJF V nK* tOD fJFM WEK

    bM rE_ VU bN' qJA wOUMG* U* uD)

    U* uD lDI WDIM c w nK* _ W (270) We

    uL qJA

    360 - 270 l{u ? b b UNO b w WDIM u nK* t UbM

    5* bN' vMM vb dHB u WOU UHU bN'

    WOO Wu qJA YO WOO Wu rU (36) qJA w

    nKLK WKU q bM b

    qJA

    qJA

    qJA

    qJA

  • bOu uI dOG UO u UdNJ Wd s lUB* U?M* qB c UF wzUdNJ UO

    WOU q w WOO Wu (50) bu wUU bu WOU w d (50) bF0 b dO WOzUdN bu

    WMe U W bu WDu WOzUdNJ WUD UD w UM* UO bOu r

    td - U2 bOIF d WIOI( w bu* c uJ Generator Three-Phase Synchronous w 5D s d b UL wzUdN fOUMG0 rzb fOUMG* b UHK* s d b b

    WOO Wu qJ UNK b UM* UO bu bB* ed db c d; Wd V bu*

    UOE( dOG tOD WOD t b% Ud UNM d

    Frequency d mK v dHB s beU b YO WOEK UNLOI U dOG qLA UO bNK WKUJ Wu*

    mK v fUF* U& w beU b p bF dHB v uF v hUM r Vu* vK_ b(

    d l WLEM uB jLM c dJ d d dHB v qB v hUM r VU vK_ Ub

    UI(f) d(U dK ed( Frequency ) d b WOU w bu* Uu* b vL se

    ( Hz) .d(U UN ed edO vL bu

    nB w 25 qLJ qJA w WMO* WOO' Wu*

    U Ud S wUU bu WOU w 50 WOU

    rEF U w qLF* UM* UO d edO 50

    d qLF b* Uu U edO 50 U rUF

    tU t q UOzuA d c q UO sJ r edO

    uI dO d bF t b; WLOI s d UH

    UbM 5FK WuK uB UFDI u{ wDF wKOH UB*

    UO qI w Wb* _ WUI UH v R d UH UL edO 40 v d iHM

    UM*

    Wu 25

    WOU nB

    qJA

    0 90 180 270 360

    WOO WuL

    WKU b

    WOO' Wu* qJA

  • edON UHUC b c b WOU d b UB ueHK ud U w

    WO

    edO 1000 (KHz) edO uKO

    edO 1000,000 = (MHz) edO UGO

    edO 1000,000,000 (GHz) edO UO

    d(U UN ed b se r