on tap ly thuyet mach 5384

Upload: dinh-toan

Post on 08-Aug-2018

227 views

Category:

Documents


0 download

TRANSCRIPT

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    1/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 1

    KHI NIM C BN

    I/ Ngun c lp:

    1. Ngun p:P = U.I < 0L tng: Ri = 0Khng l tng:

    Cng thc phn p:

    2. Ngun dng:L tng: Khng l tng:

    Cng thc phn dng:

    II/ Ngun ph thuc:

    1. Ngun p ph thuc vo p (AA)

    = 2. Ngun p ph thuc vo dng (AD)

    = 3. Ngun dng ph thuc vo p (DA)

    = 4. Ngun dng ph thuc vo dng (DD)

    =

    III/ Cc thng s r, L, C, M1. in tr:

    2. in cm:

    3. in dung:

    4. H cm: Du (+) khi 2 dng cng chy vo (hoc ra) u cntn (*). u cng tn th hin chiu qun dy.

    A

    B

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    2/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 2

    IV. Cc thng s dng phc:Sut in ng

    Nu tc ng l cos: Nu tc ng l sin:

    nh lut Ohm

    Trkhng

    Dn np

    in tr

    in cm

    in dung

    H cm

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    3/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 3

    CC PHNG PHP PHN TCH MCH INI/ nh lut Kirchoff I: Tng i s cc dng ti 1 nt bng 0.

    - Ly du (+) khi dng chy ra khi nt- Ly du (-) khi dng chy vo nt

    II/ inh lut Kirchoff II: Tng i s cc in p trn cc nhnh trong 1 vng kn bng 0.III/ Phng php in p nt:

    - C s: nh lut Kirchoff I

    - n strung gian: in p nt- n s cui cng: Dng in trn cc nhnh Dng cng thc bin i nt tnh dng in cc nhnh tin p cc nt.

    Cch lm:- Chn nt gc bng 0V- Vit phng trnh cho cc nt, vi n sl in th cc nt:

    V tri: Ly in p nt ang xt nhn vi tng dn np thuc nt , ri tri cc tch gia in nt ln cn vi dn np chung ca nt ln cn v nt ang xt.

    V phi: Tng i s cc ngun dng c bin i t cc ngun p c ni vo nt ang xt.Du (+) khi chiu ca ngun dng chvo nt ang xt.Du (-) khi chiu ca ngun dng i ra khi nt ang xt.

    - Gii hcc phng trnh va vit.- Dng cc cng thc bin i nt tm dng in trn cc nhnh.

    V d:- Chn - Vit phng trnh cc nt:

    Nt A: Nt B: . Nt C:

    .

    .

    .

    Nt D: . . Ta c hphng trnh:

    ( ) (

    )

    (

    )

    - Gii ra

    - Cng thc bin i nt:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    4/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 4

    IV/ Phng php dng in vng:- Cs: inh lut Kirchoff II- n s trung gian: - n s cui cng: Dng cng thc bin i vng tnh dng in cc nhnh tcc dng in vng

    V d:

    - Vit phng trnh cho cc vng:Vng 1: Vng 2: Vng 3: Ch ti du ca

    - Gii ra - Dng cng thc bin i vng:

    V/ Nguyn l xp chng:Mch in c cha nhiu ngun tc ng, c th coi do tng ngun tc ng (cc ngun khc ngn

    mch), ri cng cc kt qu li.

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    5/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 5

    VI/ nh l ngun tng ng:

    Mch in c cha nhiu ngun tc ng c ni vi phn cn li ti cp im AB, c th thay th bngngun sut in ng bng .

    - Ct nhnh c hi ra khi mch ti cp im AB- Tnh bng cc phng php hc- Tnh - Vs tng ng, lp nhnh b ct vo s v tnh I

    * Ch : Cch tnh

    c 2 nhnh song song:

    Du (-) khi 2 dng cng chy vo (hoc ra) u cng tn

    VII/ Bin i Laplace:

    1. Bin i R, L, C trong min pin tr

    u(t) = r.i(t) U(p) = r.I(p)in cm

    in dung

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    6/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 6

    2. Bin i Laplace ca mt s hm sc bn:Hm gc Hm nh Hm gc Hm nh

    * 1

    3. Bin i Laplace ngc - Heaviside: - Nghim ca l im 0 ca , c th nm bt c ch no trn mt phng phc.- Nghim ca l im cc ca , ch c th nm na mt phng tri v trn trc o.a) c nghim n

    b) c nghim bi ( c) c cp nghim phc lin hip

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    7/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 7

    MCH QU rC, rL, rLCNgun sut in ng bin thin theo thi gian, p ng ra ca mch bao gicng c dng: Trong :

    l ch xc lp l chqu

    l hng s thi gian

    l in trtng ng ca ton mch (lc sau) nhn t c

    im L (hoc C), vi iu kin ngn mch Eng, hmch Ing.Di tc ng 1 chiu, C coi nh hmch, L coi nh ngn mch.Cc bc gii:

    kha Ktrng thi ban u, xc nh cc iu kin u ca bi ton: . V li m hnh trong min p. Chuyn K n v tr mi, vit phng trnh p ng ca mch trong min p. Gii phng trnh. Dng Heaviside chuyn F(p) f(t). Kim tra li bng cng thc trn.

    V d 1: Cho mch in nh hnh v, lc u kha K m. . ng kha K, tm Khi K m, V li mch trong min p ng kha K, ta c phng trnh in p nt: *

    *

    Kim tra li:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    8/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 8

    V d 2: Cho mch in nh hnh v, lc u kha K ng. . Mkha K, tm Khi K ng:

    Khi K m: Theo nh lut Kirchoff II:

    * Kim tra:

    V d 3: Cho mch in nh hnh v. Tm i(t) = ?p dng nh lut Kirchoff II:

    a/

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    9/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 9

    b/ e (t) = 0

    V d 4: Cho mch in nh hnh v. p dng nh lut Kirchoff II: a/

    *

    *

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    10/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 10

    b/

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    11/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 11

    MCH DAO NG NI. Mch dao ng n ni tip:

    * *

    a/ Dng in cng bc: b/ Dng in qu :

    Lng suy gim loga tnhin ca dao ng tt dn:

    .

    Thi gian tt ca dng qu : in trti hn :

    Khi

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    12/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 12

    c/ Dng in tng hp:

    Khi = 0 th

    Di thng l di tn s m

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    13/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 13

    II. Mch song songi ngu vi mch ni tip: Cc phn ti ngu:

    Xy dng mch i ngu: Ly 1 im A trong mch v 1 im B ngoi

    mch.

    Ni AB, mi ln ni ct qua mt phn t (xemhnh minh ha)

    ngha: Nu c 2 mch i ngu th tnh cht mch nyc thc suy ra mt cch i ngu t mch kia.

    Ni tip Song song

    1. Trkhng

    1. Dn np

    2. Dn np

    | |

    2. Trkhng

    | |

    3. Phm cht ti

    3. Phm cht ti

    4. Di thng 4. Di thng

    5. lch tn s

    5. lch tn s

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    14/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 14

    6. Dng in

    7. in p trn r

    8. in p trn L

    9. in p trn C

    6. in p

    7. Dng trn R

    8. Dng trn C 9. Dng trn L

    10. in p v dng in ti

    }

    10. in p v dng in ti

    } in trtng ng ca mch dao ng n song song (thc t)

    V d 1: Cho mch in nh hnh v. a/ Tnh b/ Cho Em = 20V, f = 400kHz. Tnh Um,

    ?

    Gii: a/ Bin i mch nh hnh v trn

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    15/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 15

    R= Ri // R = 5k R// b/ Vi Em = 20V

    V d 2: Cho mch in nh hnh v.

    a/ Cho Ingm = 5mA. Tnh R, C?b/ Cho Q = 10. Tnh c/ Tnh Um vi f = 200kHz.

    Gii: a/ Ti f = 0 th b/

    c/

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    16/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 16

    TH BODENguyn tc chung ca th Bode l vp ng tn s ca mch (bin v pha) bng cch tng hp trctip cc c tuyn tn s thnh phn ng vi cc im 0 v im cc ca H(p).

    c tuyn bin : c tuyn pha:

    Cc c tuyn ny c thc hin trn thang t llogarithmic i vi , k hiu l trc [Decade]

    nh v tr ca trn trc : a v dng n quyt nh Decade, nmg trong Decade (n; n+1) m quyt nh v tr ca trong Decade , m = 2 th nm ti 1/3 Decade, m = 5 th nm

    ti 2/3 Decade

    V d: nm trong Decade (3; 4) nm ti v tr 1/3 Decade

    th Bode ca mt s hm s(xt im 0):1. 2.

    Nu th ng cho 20dB/Dkhng i qua gc ta m i qua Nu th ng cho c dc 40dB/D v i qua 3.

    ||

    [ ]

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    17/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 17

    Nu th thbin khng thay inhng thpha i xng qua trc honhNu th dc ca thbin l 40dB/D.4. C cp nghim phc lin hip. Nu cp nghimphc ny nm na mt phng tri th:

    *

    Nu cp nghim phc nm na mtphng phi th thbin khng i,nhng th pha ly i xng qua trchonh.

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    18/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 18

    5.

    arg * Mt s ch :1. a thc bc nht:

    *2. a thc bc hai: * * *

    th Bode ca im cc (nghim mu s) i xng vi th ca im 0 qua trc honh.V d 1:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    19/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 19

    V d 2:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    20/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 20

    (1)

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    21/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 21

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    22/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 22

    MNG BN CC

    I/ Hphng trnh trkhng hmch:

    i vi s hnh T:

    II/ Hphng trnh dn np ngn mch:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    23/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 23

    i vi s hnh :

    Bn cc i xng: Khng phn bit c ca 1 v ca 2. Khi :

    V d:Xt s tng ng hnh X c mng 4 cc i xng: | Theo Kirchoff II:

    |

    III/ Hphng trnh c tnh truyn t:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    24/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 24

    a = detA = -1

    i vi s hnh G:

    * i vi s hnh G ngc:

    IV/ Hphng trnh c tnh truyn t ngc:

    b = det B = -1

    V/ Hphng trnh c tnh hn hp:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    25/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 25

    VI/ Hphng trnhc tnh hn hp ngc:

    Lin h gia cc thng s ca mng 4 cc:

    c im ca bng:+ Trong mt hnh ch nht bt k ca bng, tch cc thng s trn ng cho bng nhau.VD: -h21.z12 = h12.z21

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    26/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 26

    VII/ nh l Batlet dng cho 4 cc i xng:Mi 4 cc i xng u c thc thay th bng s tng ng hnh X, vi cc phn t

    c xc nh nh sau:+ Bi 4 cc i xng thnh 2 na bng nhau

    + - Dy dn thngb ct c ngn mch.- Dy dn cho b ct c hmch.

    + - Dy dn thngb ct c hmch.- Dy dn cho b ct c ngn mch.V d:

    VIII/ K thut tnh ton - Chun ha gi tr:

    S dng cho 4 i lng: R, L, C, + Chn 2 trong 4 i lng trn lm chun, ri tnh 2 i lng cn li theo 2 cng thc trn.+ Tnh ton cc gi trtng i, gii bi ton bng cc gi trtng i .+ i gi trtng i thnh gi tr tuyt i (nhn vi )V d:

    Chn 2 gi tr chun: Tnh 2 gi tr cn li:

    Xc nh cc gi trtng i:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    27/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 27

    Tnh *

    *

    IX/ Ni ghp cc 4 cc:1. Ni tipNi tip:

    2. Song songSong song:

    3. Ni tipSong song:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    28/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 28

    4. Song songNi tip:

    5. Dy chuyn:

    (1) (2)

    (3)

    (4)

    (5)

    ng dng: Bn cc phc tp c thc tch thnh cc bn cc n gin. Cc bn cc n ginny ni vi nhau theo cc cch trn.

    Cc loi 4 cc n gin:Hnh T, hnh , hnh I, hnh G, hnh G ngc, hnh =, Transistor

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    29/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 29

    V d: Cho mng 4 cc nh hnh v, xc nh cc thng s dn np ngn mch v thng s truyn t ca mng. Cho Gii:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    30/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 30

    X/ Hm truyn t:

    XI/ H s truyn t:

    Vi 4 cc i xng:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    31/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 31

    XII/ Cc thng s sng (Thm ch s 0 vo thng sthng):

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    32/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 32

    Xc nh thng s sng:

    Ch : Vi 4 cc i xng c phi hp trkhng 2 ca:Nu l 4 cc i xng vi s tng ng mch cu:

    V d 1:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    33/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 33

    V d 3:a.

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    34/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 34

    XIII/ Bn cc tuyn tnh khng tng h:1. Hphng trnh trkhng hmch:

    2. Hphng trnh dn np ngn mch:

    3. Hphng trnh c tnh hn hp:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    35/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 35

    4. V d v bn cc khng tng h:a. Girator:

    K hiu ca Girator nh hnh v:Hphng trnh trkhng:

    , + Cc thng smang ngc du vi iu kin tng h Girator l bn cc phn tng h. Cng sut tc thi p(t) = 0, Girator l phn tqun tnh, khng tng hnhng thng.Quan h gi trkhng vo ca ny vi trkhng ti ca kia:

    nu r l s thc th 2 phn t trkhng i ngu.

    b. Mch bin i trkhng m (NIC):

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    36/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 36

    c. Transistor:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    37/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 37

    d. Mch khuch i thut ton (Operational Amplifier)

    Mch KTT l tng: Mch KTT khng l tng:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    38/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 38

    V d 1: Xt mch khuch i thut ton nh hnh v:

    V d 2: Mch cng v mch tr:

    Mch cng:

    Mch tr:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    39/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 39

    V d 3: Xt mch khuch i thut ton:Xt nt 3: Xt nt 4: M T (2) (3)

    a/ Mch lc thng thp

    b/

    Mch lc thng cao

    c/ Mch lc thng di

    Ba mch trn lKhu lc tch cc RC bc 2

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    40/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 40

    MCH LC TN SB lc cho 1 hay nhiu di tn hiu i qua (di thng), chn cc di tn s cn li (di chn).Tn sgia di thng v di chn l tn s ct (cutfreq)

    Mt b lc phc tp c th chia thnh cc b lc n gin (hnh T, hnh )

    iu kin di thng:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    41/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 41

    I/ Mch lc loi K:

    1. Mch lc thng thp:

    2. Mch lc thng cao:

    3. Mch lc thng di:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    42/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 42

    4. Mch lc chn di:

    II/ Trkhng sng cc b lc loi k:1. Mch lc thng thp:a/ Hnh T:

    Trong di chn: mang tnh in cm

    Trong di thng: mang tnh in tr

    b/ Hnh :

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    43/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 43

    Trong di chn: mang tnh in dung Trong di thng: mang tnh in tr

    2. Mch lc thng cao:a. Hnh T:

    Trong di chn: mang tnh in dungTrong di thng: mang tnh in tr

    b/ Hnh :

    Trong di chn: mang tnh in cmTrong di thng: mang tnh in tr

    3. Mch lc thng di:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    44/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 44

    4. Mch lc chn di:

    III/ Suy gim sng, dch pha sng ca cc b lc loi k: Trong di thng:

    Trong di chn:

    1. Mch lc thng thp: 3. Mch lc chn di:

    2. Mch lc thng cao: 4. Mch lc chn di:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    45/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 45

    IV/ Mch lc loi M:

    1. Xy dng b lc loi m:a/ Chuyn ni tip tTk sang Tm:

    + Gi li 1 phn + Chuyn phn cn li mt cch ni tip xung nhnh song song to thnh

    sao cho

    b/ Chuyn song song tk sang m:+ Gi li 1 phn + Chuyn phn cn li mt cch song song ln nhnh ni tip to thnh sao cho

    2. Cc loi b lc loi m:a/ Lc thng thp:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    46/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 46

    b/ Lc thng cao:

    {

    c/ Lc thng di:

    d/ Lc chn di:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    47/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 47

    3. B phi hp trkhng:

    Phi hp trkhng vi Ri = Rt = const

    Tnh

    :

    ph thc vo m ( 0 < m < 1), vi m = 0,6 th trkhngsng bng phng trong sut di thng.

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    48/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 48

    Tnh :

    ph thc vo m ( 0 < m < 1), vi m = 0,6 th trkhng sngbng phng trong sut di thng.

    4. Suy gim sng:

    a/ Lc thng thp:

    c/ Lc thng di:

    *

    b/ Lc thng cao:

    d/ Lc ch n d i:

    *

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    49/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 49

    B lc loi K, cng i su vo di chn, . Tuy nhin chm. B lc loi M, cng i su vo di chn, cng gim. Tuy nhin nhanh ti .

    V. Thit k b lc y :

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    50/52

    L thuyt mch Daniel F.SHanoi University of Technology

    Page 50

    V d: Thit k lc thng thp y c Phi hp trkhng gia ngun v ti c v c suy gim sng cng i su vo di chn cng tin ti Gii:1. Lc K:

    T (1) (2) suy ra: 2. Lc M:

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    51/52

    L thuyt mch Daniel F.SHanoi University of Technolo

    Page 51

    3. Phi hp trkhng: (thay m = 0,6)

  • 8/22/2019 On Tap Ly Thuyet Mach 5384

    52/52

    L thuyt mch Daniel F.SHanoi University of Technology

    MC LCTrang

    Khi nim c bn 1I. Ngun c lp 1II. Ngun ph thuc 1III. Cc thng s r, L, C, M 1

    IV. Cc thng s dng phc 2

    Cc phng php phn tch mch in 3I. nh lut Kirchoff I 3II. nh lut Kirchoff II 3III. Phng php in p nt 3IV. Phng php dng in vng 4V. Nguyn l xp chng 4VI. nh l ngu n tng ng 5VII. Bin i Laplace 5

    Mch qu rC, rL, rLC 7Mch dao ng n 11

    I. Mch dao ng n n i ti p 11II. Mch song songi ngu vi mch ni tip 13

    th Bode 16

    Mng bn cc 22I. Hphng trnh trkhng hmch 22II. Hphng trnh dn np ngn mch 22

    III. Hphng trnh c tnh truyn t 23IV. Hphng trnh c tnh truyn t ngc 24V. Hphng trnh c tnh hn hp 24VI. Hphng trnh c tnh hn hp ngc 25VII. nh l Batlet dng cho 4 cc i xng 26VIII. K thut tnh tonChun ha gi tr 26IX. Ni ghp cc bn cc 27X. Hm truyn t 30XI. H s truyn t 30XII. Cc thng s sng 31XIII. Bn cc tuyn tnh khng tng h 34

    Mch lc tn s 40I. Mch lc loi K 41II. Trkhng sng ca cc b lc loai K 42III. Suy gim sng, dch pha sng ca cc b lc loi K 44