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rokovi iz oeta 2 elektrotehnicki fakultet

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  • 2

    2012.

  • 3. 2010. .................................................... 3

    1 .............................................................. 6 2 .............................................................. 6 3 .............................................................. 7 4 .............................................................. 9 5 .............................................................. 9 6 ............................................................ 10

    16. 2011. ......................................... 13 2 ............................................................ 16 3 ............................................................ 16 4 ............................................................ 17 6 ............................................................ 19

    17. 2009. ......................................... 20 1 ............................................................ 23 2 ............................................................ 23 3 ............................................................ 24 4 ............................................................ 24 5 ............................................................ 25 6 ............................................................ 26

    18. 2009. ................................................ 27 1 ............................................................ 30 2 ............................................................ 30 3 ............................................................ 31 5 ............................................................ 32 6 ............................................................ 33

    18. 2011. ................................................ 35 1 ............................................................ 38 2 ............................................................ 40 3 ............................................................ 43 4 ............................................................ 44 6 ............................................................ 45

    20. 2010. .................................... 46 1 ............................................................ 49 2 ............................................................ 50 3 ............................................................ 51 4 ............................................................ 53 5 ............................................................ 54 6 ............................................................ 55

    21. 2009. .................................... 57 1 ............................................................ 60 3 ............................................................ 61 5 ............................................................ 62 6 ............................................................ 63 2 ............................................................ 66

    23. 2010. ......................................... 68 2 ............................................................ 71 3 ............................................................ 71 4 ............................................................ 71 5 ............................................................ 72 6 ............................................................ 74

    26. 2009. ................................. 76 3 ............................................................ 79 4 ............................................................ 80 5 ............................................................ 81 6 ............................................................ 82 2 ............................................................ 84

    26. 2010. ................................ 85 1 ............................................................ 88 2 ............................................................ 88 3 ............................................................ 89 6 ............................................................ 89 4 ............................................................ 91 5 ............................................................ 92

    3. 2009. ........................................ 93 1 ............................................................ 96 2 ............................................................ 97 5 ............................................................ 98 6 ............................................................ 98

    3. 2011. ................................ 100 1 .......................................................... 103 3 .......................................................... 103 4 .......................................................... 104 5 .......................................................... 106 6 .......................................................... 106

    5. 2012. .................................... 108 1 .......................................................... 111 2 .......................................................... 111 3 .......................................................... 112 4 .......................................................... 113 5 .......................................................... 114 6 .......................................................... 114

    5. 2009. ................................ 115 1 .......................................................... 118 2 .......................................................... 119 3 .......................................................... 119 4 .......................................................... 120 5 .......................................................... 121 6 .......................................................... 122

    6. 2011. .................................... 125 2 .......................................................... 128 4 .......................................................... 128 3 .......................................................... 129 5 .......................................................... 130

    9. 2011. ................................................ 131 1 .......................................................... 134 2 .......................................................... 134 5 .......................................................... 135 6 .......................................................... 136

    9. 2010. ...................................... 138 1 .......................................................... 141 2 .......................................................... 141 3 .......................................................... 142 4 .......................................................... 143 5 .......................................................... 144 6 .......................................................... 145

    15. 2012. ....................................... 146 1 .......................................................... 149 2 .......................................................... 149 3 .......................................................... 150 5 .......................................................... 150 6 .......................................................... 151 4 .......................................................... 152

  • 23. 2010.

    : 180 . 120 . . . a , . . , . , . . 5, 20 .

    . .

    1. m2,0=l , 2cm10=S . 1000=N A5,2=I . . .

    2. , V101 =E , == 521 RR , mH10021 == LL , 5,0=k . , . 0=t . .

    3. () () . () ?() () ()

    4. , u t t( ) sin= 50 V , je I = ( 5 j5) A . () , () () .

    () () ()

    3 |

  • 5. , = j4)3(5Z , , , .

    V 400==UU AB . AOI .

    6. )4/cos()( mg = tIti 1=RC . 0=t , .

    )(tu 0>t .

    1. V 1=E ,

    18 s 10 = , H 1=L pF100=C . () R . () ?

    2. 2/= , . mW1801 =P ,

    mA302 =I , 6,0cos 2 = , mA515=I

    54,0cos = . , , . ( 1Z 2Z ) ( I ).

    4 |

  • 2, 3. 2010.

    1. Wb2= . 92 , 3. .

    2. mC2021

    21==

    RRELLk

    q . 197 .

    3. () : SBlE dddd =

    SC t, SJlH dd =

    SC, v

    vSdd = SD

    0d =S

    SB . () : SBlE dddd =

    SC t, SDJlH d

    ddd

    += SC t

    , vvS

    dd = SD 0d =

    SSB . ()

    tddD . 234 235 .

    4. () P =125 2 W , () var2125=Q () S = +125 2 1( )j VA . 160 , 4. .

    5. ( ) A 34j33436,1

    ++==Z

    UI AOAO . 375 .

    6. Ci

    RCu

    tu g

    dd

    =+ , tRItu = sin22)( m . 463 .

    1. () =100R . () mVA 5=ES . 240 , 4. .2. = )600j800(1Z += )400j300(2Z ,

    mA)0j315( +=I . 188 .

    5 |

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  • 2 16. 2011.

    : 180 . !" # 120 $% . %$ &% #%. ' * +a -*%, % .;* %#%# . " %$ , % %$ -* %>

  • 4. ; - $ % #
  • 'G I JI '

    2, 'KG 16. L; 2011. G'

    1. hMIN

    C)'(d 0 lB .

    2. () jBAE . (*) jBAU . () LI .

    3. A)2

    cos(2)( tti , V)4

    cos(6)( ttu , (a) W )2

    cos()4

    cos(12)()()( tttitutp , (*) W23P , ()

    var23Q , (+) VA6S () 2/2k .4. )1(jAB kLZ .

    5.21

    21

    RRLLE

    q .

    6. E% + % #

  • 16 |

  • 17 |

  • 18 |

  • 19 |

  • 2 17. 2009.

    : 180 . !" # 120 $% . %$ &% #%. ' * +*#& %#%#. ' * +a -*%, % . -*% . " %$ , % %$ -*%>

  • 4. ; %# $ #
  • 'G I JI '

    2 'KG 17. L; 2009. G'

    1.

    CSClMSJlB ddd 0 , + S ! #" % C,

  • 23 |

  • 24 |

  • 25 |

  • 26 |

  • 218. 2009.

    : 180 . 120 . . . a , . . , . , . . 5, 20 .

    . .

    1. a 2a . . , ( ) M . H S , ( ).

    dS

    = H S

    a

    M

    S

    a

    a2a

    0

    2. S , , , 0( ) cos( )B t B t= + . 0t = , B . , () () . () ? .

    ()ind,state =

    ()ind,dine =

    ( )tB

    0t =

    ()

    3. , g 50 2 mAI = ,

    , 100 2L C RZ Z Z = = = . 2i 1i , .

    2i =gI

    R

    C L

    1i 2iR

    27 |

  • 4. , . () 100 3 WZP = . () Z ( ) () .

    ()=

    ()ZQ =L

    L

    ,Z

    1LQ = 2LQ =

    5. , g g gjZ R X= + ,

    , pX .

    , pR , .

    pR =

    6. , 0t = . ( 0t = ),

    0t = 2

    RCt = J 10 JA = .

    0CW =R C

    0t =

    1. F25,11 =C , = 102R , mH52 =L ,

    F5,22 =C , = 303R , = 204R mH14 =L . 2R W2502 =P , 3X kvar23 =Q , 13U 23I . () U () U 1I .

    2. R, C, L, k EEEE === CBA .

    . LC1

    = .

    () 12U , () I

    () .

    28 |

  • 2, 18. 2009.

    1.2

    d d4

    S S

    aM = = H S M S .2. () ind,stat 0 sin( )cos( )e B S t t = + , () ind,din 0 cos( )sin( )e B S t t = + , () ind 0e , ( ) const.t = , .3. 2 50 mAi = .

    4. ()6= , () tg 100 varZ ZQ P = = , 1 2 200 varcos

    ZL L Z

    PQ Q S = = = = .

    5. ( )22p g g pR R X X= + + .

    6. J0 1 15,82 J1 eCAW = =

    .

    1. () 200 2 VU = , () 1 4= =

    2. () 1232kU E= , () 2

    32kE CI

    Lk=

    , () 0P= .

    27. 21 . ( 95) ( 95) 1. 08:00 09:00 .

    29 |

  • 30 |

  • 31 |

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  • 34 |

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  • B5? o? c[aO? SV[RU[SXVT[ZTbPX? RUVONX? SVTcW\WP[Y? PW? RaTkT? NX? {w?JQQ j? KL |?KQ j? x?K j? }~KQQ ? T? ?KQQJK M?;\VWbOPWUT?RPWgX?[US[VPTcW? K ?T? J M?

    ?

    ?

    C5?

  • AeACAH;?BD?=;>DD?;?HEED?@DeD>DGD?EIB;GE?Jj?AeHDBA?KLM?oBD?JQKKM?Ae;BE?+6:=++?5?pWq?CXcU[V? YWgPXURcX? TPZOckTNX? NX? P[VYWaWP? PW? VW]WP? kVUXiWj? W? VXrXVXPUPT? RYXV? YO? NX? [Z? S[RYWUVWbWM? pfq?DagXfWVRcT?

    TPUXP\TUXU? ]XcU[VW? YWgPXURcX? TPZOckTNX? NX? JJQJ $

    M? CTZXUT? T? \WZWUWc? ? T\? %&'()*+ ,-.)+ ',+ /0123+

    *4*).(2.*51')*6+78+-*2M?+

    @5?pWq?=[ZOiPW? cWSWkTUT]P[RU? NX?

    Q j? pfq?S[ZOiPW? [US[VP[RU? NX?

    J J

    j? p]q?RS[^W_`W? S[ZOiPW? TPZOcUT]P[RU? NX?

    Q

    j? pgq?OPOUVW_`W? S[ZOiPW? TPZOcUT]P[RU? NX?

    Q

    j? W? pZq?UVWiXPT? SV[T\][Z? NX? JQ

    QQK9

    M? CTZXUT?

    \WZWUWc?JQ?T\?%&'()*+,-.)+',+/0123+*4*).(2.*51')*6+78+-*2M??A5?pWq?>VXPOUPW? RPWgW? NX? qz|pqJz|pJQqp !!!: j? ? v? J j? pfq?c[YSaXcRPW? RPWgW? NX?

    wqJQvJQp j?p]q?SVT]TZPW?RPWgW?NX? wJJQ j?pgq?rWcU[V?RPWgX?NX?JJ

    # j?W?pZq?rWcU[V?VXWcUT]P[RUT?NX?JJ

    # M?

    CTZXUT?T?\WZWUWc?K?T\?%&'()*+,-.)+',+/0123+*4*).(2.*51')*6+;8+-*2M++B5+ ?KQQJK D>;?;D?;E?ADCEB;?eA?JKM?oBD?o?JK?tDGE? po? FDAHD>AH;;? nWq? ;? o=;oDFBD?o

  • 38 |

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  • 44 |

  • 45 |

  • 220. 2010.

    : 180 . 120 . . . a , . . , . , . . 5, 20 .

    . .

    1. e , 300r1 = , 1r2 = , , . 2, ,

    mT)34(2 yx iiB = . 1, .

    =1H

    2. . 322 cm10 =N . , 224 Am 1027,9 zim

    = , z- . . () , () , () () . () .

    () () () () ()

    3. H 10=L 15 s 10 -= . V )j1(2 +=U . () ( ), () , () () ( 0t ) .() () () ()

    46 |

  • 4. 1gI 2gI 6= . 1K 1, 2K

    0, W 31 =P . 1K 0, 2K 2, W42 =P . 1K 1, 2K 2.

    =P

    5. 14 s10 = , mS200=G , mH1=L F20 =C . V100max =U . .

    =gI

    6. =100R , mH2=L , mA200g =I . 0=t , .

    0t .

    1. nF 31 =C ,nF 62 =C , nF 23 =C , nF 124 =C V220=U .

    U 3

    min LR

    = L

    R 3max = ,

    U . () 34U () 34U UU =12 .

    2. = 50R , pF10=C , nH 100=L , 5,0=k V 100=U . () U

    I 2 . ()

    .

    47 |

  • AeACAH; BD =;>DD ; HEED @DeD>DGD EIB;GE 2, AeHDBA 20. EHoDHD 2010. Ae;BE

    6:=

    1.mA )958,73183(

    mA )2510(1 41 yxyx iiiiH

    = .

    2. (W) zN imM kA/m 7,92== . (f) 0A =J . (]) = iJ kA/m 7,92SAPW [Y[UWbO. 0SA =J PW fW\TRTYW. (g) ziMB mT 5,1160 .

    (Z) z

    M

    JASB

    JAS

    m

    3. (W) A )j1(2 +=I , (f) J 2021 2

    sr == LIW , (]) J 402max == LIW , (g) s 56,2343

    =t .

    4. W 13=P .5. A 15,81A 105 =I .

    6. s02 , 0t,mAexp100)( =

    =

    tti .

    E=F=G:1. (W) >WPRrTgOWkT[Y U[OgaW cWSWkTUT]P[RUT 321 -- CCC O \]X\ZO TZ[ZW]W`XY cWSWkTUT]P[RUT 4C Z[fTW RX c[a[ RW RaTcX O c[YX X

    nF 62

    3131x =++= C

    CCCCC T nF 641

    3232z =

    ++= CCCCCCC . GWc[ X

    zx CC = , U[ X 21332UUU == .

  • 49 |

  • 50 |

  • 51 |

  • 52 |

  • 53 |

  • 54 |

  • 55 |

  • 56 |

  • 221. 2009.

    : 180 . 120 . . . a , . . , . , . . 5 , 20 .

    . .

    1. - (. ), -, a . I , . B .

    =B

    2. , 0,5 mma = ( ) 1 cmd = 1 kml = . () , () , ( Cu 0 Cu, 56 MS/m = = ). .

    ()

    eL =

    ()

    iL =

    3. 14

    fLC

    = .

    60 mALi = , .

    Ci =

    LLi

    CCi

    57 |

  • 4. , CZ . , 1 2 3I I I= = . .

    Z =

    1I CZ

    2I

    3I

    Z

    5. 50 Hzf = , , ,100 varQ = . , max 1 2 3 max( )L L L LW W W W= + + .

    maxLW =1L

    2L

    3L

    6. , , 10 VE = , 10R = 50 HL = . 0-1 . 0t = , 0-1 0-2, 1 5 st = 0-2 0-3 . 2 10 st = .

    2( )Li t =

    03

    12 Li

    RR

    EL

    1. 1 (40 j20)Z = , 2 (60 j30)Z = + 1 2 54 VE E= = , . Z 0,8k = . Z ,

    9 A5 34

    I = .

    2.

    1 10 2 VE = 1 4 =

    , 1 200R = 1 400X = , 1 (0,1 j0,06) AI = ,

    2 (100 j200)Z = + , 3 400X = ,

    2 j50 VE =

    226 VA4E

    S = . .

    58 |

  • 2, 21. 2009.

    1. 092

    IBa

    = , B

    .

    2. 0e ln 1,198 mHl dL

    a

    = = , 0 0i( ) 0,1 mH4 4l d lL

    += = .

    3. 15 mA4L

    Cii = = .

    4.j6eCZ Z

    = .

    5. max 0,318 J2LQW

    f= = .

    6. 12( ) (1 e ) 0,632 ALEi tR

    = = .

    1. Z TE TZ . :

    (1) 75Z = ( ) (2) 105Z = ( ).2. 3 65 mWP = .

    22. 21 . ( 95) ( 95) 23. 13:00 13:30 .

    59 |

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  • 63 |

  • 64 |

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  • 67 |

  • 223. 2010.

    : 180 . 120 . . . a , . . , . , . . 5, 20 .

    . .

    1. S a , . xy-. ( )zyB iiB += 0 . S n .

    2. , R, B, , . ( ) ?

    B

    q

    aO

    3. () () V)cos320sin20()( tttu += .() ()

    4. = k 201R , mA 10=I , mA 61 =I mA 52 =I . 2R .

    68 |

  • 5. e t t( ) cos= 200 V , = 106 s 1 , L =100 H , k = 2 2/ C = 20 nF . .

    6. , V100=E , R =1 k , mH1=L . . 0=t . 0>t .

    1. 2211 CLCL = ,

    21 2LL = 16

    12 s1021

    =CL . V1=E . kHz1901 =f kHz2902 =f , U , .

    2. , Z , , . E1, E2 E3 . (1), W450=P , A1=I , I U 6 .

    =1001R , (2).

    69 |

  • 2, 23. 2010.

    1. = 20aB .

    2. R

    Baq2

    = .

    3. V40m =U , 6

    = .

    4. 2R mW 3902 =P .5. A2jgN =I Y N j mS= 20 .

    6. 0dd

    =+ RitiL , A1,0)0( === +

    REti , ( ) Ae1,0e ][106 sttL

    R

    REti

    ==

    0>t .

    1. ( )( ) ECLCLCLCLU

    11 222

    112

    122

    122

    = ; V1min =U , kHz225min f , V1,2max U , kHz290max =f .

    2. += )3j1(450Z , V 3300=U , ( )VA3j10300g +=S .

    70 |

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  • 73 |

  • 74 |

  • 75 |

  • 2 26. * 2009.

    : 180 . !" # 120 $% . %$ &% #%. ' * +*#& %#%#. ' * +a -*%, % . -*% . " %$ , % %$ -*%>

  • . + % %& #
  • 'G I JI '

    2, 'KG 26. X_ 2009. G'

    . zabwaB n

    21

    00 .

    . () j12E . (*) j12U . () LI .

    . V )j21( U .

    . () 23P , (*) ar22Q .

    .21

    21RRLLE

    q .

    . 0 V,)e (84)( " tttuC , + ms20" C40q .

    . () )j68(4Z . (*) A )j15(161

    12 I .

    . !" () 1,0k , (*) V )j1055(AB U .'+ !" () 5,0k , (*) V j50)25(AB U .

    78 |

  • 79 |

  • 80 |

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  • 82 |

  • 83 |

  • 84 |

  • 226. 2010.

    : 180 . 120 . . . a , . . , . , . . 5, 20 .

    . .

    1. a , , , Oxy - . I . , xm=m i . a .

    =Mmy

    x

    z

    I

    O a

    2. ( ) . , cH , rB f .

    gubddP

    v=

    BrB

    rB

    HcHcH

    3. , S l 1N 2N , . A B.

    ABL =1N 2

    NA

    B

    85 |

  • 4. , LZ , ,E . () . () .

    ()R =

    RE

    LZ

    ()maxP =

    5. , , , . ,

    300 WP = 300 varQ = . BE CAI .

    =

    Z

    Z

    Z

    AE

    BE

    CE

    A

    B

    C

    6. gI , 1R 2R , L . 0t =

    . , , Lu , 0t > , .

    ( )Lu t =gI L1R

    0t =

    2R

    Lu

    1. V 10=E , 18 s 10 = , = k4R , == k 121 RR H 152 =L .

    () 1L a e 2I 2 1I ,

    1I 2I 2 . ()

    () ? L1R1

    C

    E R

    L2R2

    I1

    I2

    2. Z , , 6,0=k .

    V 400=U . , Hz 50=f . () kW 18=P . , , 8,0=k .

    86 |

  • 2, 26. 2010.

    1. 0 ( )2 y

    m Ia

    = M i .

    2. gub r cd

    4dP

    B H fv

    = .

    3. ( )2

    1 2AB

    S N NL

    l

    = .

    4. () LR Z= , () 2

    max 2 L

    EPZ

    = .

    5.4

    = .

    6. ( ) =t

    L IRtu eg1 ,1 2

    LR R

    =+

    .

    1. () 1I 2I 1L , 1 20 HL = . 5 pFC = . () ( )e 5 j0 kZ = + , g 20 mWP = g 0Q = .

    206 , 4. .2. C , 1 249 FC , 2 70 FC .

    411 , 4. .

    87 |

  • 88 |

  • 89 |

  • 90 |

  • 91 |

  • 92 |

  • 23. 2009.

    : 180 . 120 . . . a , . . , . , . . 5, 20 .

    . .

    1. 200 mma = . mm1=d .

    . () 328 m1047,8 =N , mm/s1|| =v . .

    19e 1,602 10 CQ

    = .

    B=

    2. , M , . H .

    dS

    = H S

    3. .

    srI =

    t

    i [A]

    TT/20

    2

    I =

    4. 1 AI = , = 106 1s , L =10 H = 20R . () , () ,() () .

    () 1e =

    () 2e =

    () 3e =

    () 4e =

    93 |

  • 5. , , Asin10)( tti = , ,100exp( j2 / 3) VU = . . () , ()

    , () , () () .

    () P = () Q = () S = () k = () rk =

    6. , V1=E , == 121 RR , mH10=L . . 0=t . )(tu 0>t .

    ( )u t =

    1. : ( )V 9j131 +=E , ( )V 2j726 +=E ,

    ( )+= j1 1001Z , ( )+= j7 102Z , ( )= j3 103Z ,= 20j4Z , = 405Z ( )+= j92 46Z .

    100 , 60R .

    A 1,0max =I , : () () () .

    2. R , C , L , k EEEE === CBA . .

    LC1

    = . :

    () 12U , () I () .

    94 |

  • 2, 3. 2009.

    1.2

    e 10,657 A4dI Q Nv= , , 0 33,48 T

    2IB

    a

    = ,

    .

    2.0

    1d d d 0C C C

    H S B S M S = =

    3. sr 1 AI = ,2 3 A

    3I = .

    4. () 1 10 2 Ve = , () 2 10 2 Ve = , () 3 20 2 Ve = , () 4 20 2 Ve = .

    5. () 250 6 WP = , () 250 2 var , () ( )250 6 j 2 VAS = , () 32k = , () r 12k = .6. 1( ) 1 e V

    2

    t

    u t

    = + , 5 ms= .

    1. () = 80R , () W8,02max == RIP .

    2. () 12 3U k E= , () 222 1

    2124

    321

    +

    =

    CkLR

    kEI, () 22

    2

    2

    12

    124

    9

    +

    =

    CkLR

    REP .

    95 |

  • 96 |

  • 97 |

  • 98 |

  • 99 |

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  • B5?o? c[aO? SV[RU[SXVT[ZTbPX? RUVONX? SVTcW\WP[Y? PW? RaTkT? NX? w?KQQ j? KL |?KQ j?KQQ j? x?KJK j? K# ? T?

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    ?

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    SVTNXYPTcWj?cW[?T?pgq?rWcU[V?RPWgX?T?pZq?rWcU[V?VXWcUT]P[RUT?SVTNXYPTcWM?pWq?????

    ? pfq? ? p]q? ? pgq? ? pZq? ?

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  • AeACAH;?BD?=;>DD?;?HEED?@DeD>DGD?EIB;GE?Jj?AeHDBA?M?EHD?JQKKM?Ae;BE?+6:=++?5?BW?VW\Z][NP[N?S[]V_T?Z]X?RVXZTPX?NX? JK $$ M?CTZXUT?T?RUVWPO??OfXPTcW?/0123'+*4*).(2.*51')*6+78+-*2M?+@5?CTZXUT?SVTYXV?PW?RUVWPT?KQJ?OfXPTcW?/0123'+*4*).(2.*51')*6+78+-*2M??A5?WcRTYWaPW?YWgPXURcW?XPXVgTNW?NX? {?JQ{h?{ A M??B5?G[YSaXcRPX? RUVONX? T? PWS[PT? O? c[aO? RO? ?KJK j? Q j? w?KQQ ? T?

    QJK M?>VWiXPT?rW\[VRcT?ZTNWgVWY?SVTcW\WP?NX?PW?RaTkTM? +

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    JzJ# Mj?W?rWcU[V?VXWcUT]P[RUT?NX? JzJ # M?CTZXUT?T?\WZWUWc?KQ?T\?%&'()*+,-.)+',+/0123+*4*).(2.*51')*6+;8+-*26+B24+C(2D*1E'3'5+0.(FG8??D5?BWS[P? c[PZXP\WU[VW? O? rOPckTNT? ]VXYXPW? SVTcW\WP? NX? PW?RaTkTM?

    ++?E=F=G:+

    ?5?pWq?ErXcUT]PW? ]VXZP[RU? RUVONX? PWS[NPX? gVWPX? PX? \W]TRT? [Z? [US[VP[RUT? ? Wc[? NX? KJ J j? [ZWcaX? NX? ~nJKJ

    M?

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    M? CTZXUT? T? \WZWUWc? Kn? T\? %&'()*+ ,-.)+ ',+ /0123+

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  • 103 |

  • 104 |

  • 105 |

  • 106 |

  • 107 |

  • ; ;@ AHA>EIB;GE 2 5. rXfVOWV 2012.

    !"#$%$: ;RSTU UVWNX 180 YTPOUW. BTNX Z[\][^XP[ PWSO_UW`X RWaX 120 YTPOUW [Z S[bXUcW TRSTUW. =TRWUTTRc^ObT][ dXYTNRc[Y [a[]c[Y. e[\][^XPW NX OS[UVXfW RWY[ [][ga SWSTVW T ]XifWPcX, c[NT RX Y[VWNO \WNXZP[ SVXZWUT. oS[UVXfW cWacOaWU[VW PTNX Z[\][^XPW. CXifWPcO RUW]TUT O []WN SWSTV. 6/( I ) 1/(/ /7,4.J/3" % "3"#$ ! !/)., 2 1 (,$ /7,4.J/3" . 3$;* %9/. K"% J%$ "1L"3")$ % !/( I / () ;$% /23"M$I .!/7 (/ . "1L"3 ) 0.8$ ,.8/9$, OkVUWUT O ZTNWgVWYX TaT \W[cVOiTUT S[POlXPX [Zg[][VX. AZg[][VT fX\ T\][lX`W RX PXmX SVT\PWUT.

  • 5. o UV[rW\P[Y c[aO SVTcW\WP[Y PW RaTkT XaXcUV[Y[U[VPX RTaX bTPX TP]XV\WP RTYXUVTbWP RTRUXY. ErXcUT]PW ]VXZP[RU SV]XXaXcUV[Y[U[VPX RTaX NX kV 20A =E , W S[bXUPW rW\W NX POaW. =[\PWU[ NX T = jgZ , += j)1(vZ T = 3pZ . ;\VWbOPWUTc[YSaXcRPO RUVONO BI .

    6. @W c[a[ SVTcW\WP[ PW RaTkT S[\PWU[ NX V 10=E , mA8g =I , = k11R , = k22R T F3 =C . (EaXcUV[Y[U[VPW RTaW TRUVONW gI PX \W]TRX [Z ]VXYXPW.) =VXcTZWb = NX [U][VXP T O c[aO NX ORS[RUW]^XP[ RUWkT[PWVP[ RUW`X. =VXcTZWb = RX \WUTY

    \WU][VT O UVXPOUcO 0=t . (W) ;\]XRUT ZTrXVXPkTNWaPO NXZPWbTPO \W PWS[P 12u S[ \WU]WVW`O SVXcTZWbW T VX_TUT NX. (f) ;\VWbOPWUT SV[U[c q cV[\ c[PZXP\WU[V [Z UVXPOUcW \WU]WVW`W SVXcTZWbW = Z[ ORS[RUW]^W`W RUWkT[PWVP[g RUW`W.

    J

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    nF 50=C , V6=E , W cVOiPW ObXRUWP[RU RX Y[iX YX`WUT. (W) ;\VWbOPWUT[US[VP[RU [US[VPTcW R UWc[ ZW RX PW cVOiP[N ObXRUWP[RUT 141 s10

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    SV]X XaXcUV[Y[U[VPX RTaX V251 =E , W c[YSaXcRPW TYSXZWPRW Z gVWPWRTYXUVTbP[g UV[rW\P[g SVTNXYPTcW NX PXS[\PWUW. o ORUW^XP[Y RUW`O SVT[U][VXP[Y SVXcTZWbO S[\PWUW NX WcUT]PW RPWgW UV[rW\P[g SVTNXYPTcW

    W10p =P , W O ORUW^XP[Y RUW`O SVT \WU][VXP[Y SVXcTZWbO S[\PWUW NX RPWgW

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    109 |

  • AeACAH; BD =;>DD ; HEED @DeD>DGD EIB;GE 2, AeHDBA 5. EHoDHD 2012. Ae;BE

    6:=1. (W) F/m10854,8 120

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    = , (]) 00

    01

    =c . CTZXUT T RUVWPO 6 OfXPTcW /0123' *4*).(2.*51')*, 3.

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    iL . CTZXUT SVTYXV RW RUVWPX 145 OfXPTcW /0123' *4*).(2.*51')*, 3. -*2.

    3. lSINNE /g210rT = , lSNZ /j 220rT = . CTZXUT T RUVWPO 116 OfXPTcW /0123' *4*).(2.*51')*, 4. -*2.

    4. V2100=E .

    5. kA e25 125j

    B

    =I .6. (a) @W 0>t , [RUWUWc c[aW RX O [ZP[RO PW c[PZXP\WU[V Y[iX \WYXPTUT >X]XPXP[]TY gXPXVWU[V[Y SWVWYXUWVW V 12=TE T

    = k32

    TR . eTrXVXPkTNWaPW NXZPWbTPW gaWRT CRE

    CRu

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    T

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    dd

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    ( )Ve 412)( /12 += ttu , gZX NX ms 2= . (f) WbTPW RUVONX c[PZXP\WU[VW O SVXaW\P[Y VXiTYO NX mAe6dd /12 == ttuCi , SW NXSV[U[c ( ) C12)0()(uCd 121212

    0

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    +

    uuCtiq .

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    41

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    42

    +

    =P .

    2. ( ) = 6j3Z .

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  • 111 |

  • 112 |

  • 113 |

  • 114 |

  • 25. 2009.

    : 180 . 120 . . . a , . . , . , . . 5 , 20 .

    . .

    1. , , mm25=a mm30=b . A201 =I , A302 =I A403 =I . 3F 3I .

    2. , mm100=a , m/s10=v T2=B , . , M N.

    a

    N M

    Bv

    3. () () .() ()

    4. Vsin51 tu = V2sin102

    += tu . () ()

    21 uuu = .()

    ()

    115 |

  • 5. 19 s10 = , pF1021 == CC ,nH20021 == LL = 200R .

    C1

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    L1

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    6. , = 50R , H6 =L pF23=C , , V1=E . () () ?

    ()

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    V121 == EE . A B V5,0AB =U . 1I

    2I 1,49 . 3Z .

    2. K mA5,3g =I

    16s10 = .

    F121 == CC , H11 =L H5,22 =L 8,01 =k 5,02 =k .() R . () .

    116 |

  • 2 5. 2009.

    1. m

    mN6,12

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    = .

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    0dd

    =

    t, , 0d =

    ClE ,

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    22

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    = I

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    117 |

  • 118 |

  • 119 |

  • 120 |

  • 121 |

  • 122 |

  • 123 |

  • 124 |

  • 26. 2011.

    : 180 . 120 . . a , . . . , . , . . 5 , 20 .

    . .

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    2. , S l , N . , . f I . .

    3. , b, , . ab

  • 5. L, C R, CLR < .

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    6. V 10=E ( ), = M 10R F100 =C . , mC 10 =Q . 0=t . () . () . () .

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    = 1001C

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    126 |

  • 2, 6. 2011.

    1. 3.4 , 3. .

    2. 22

    2 Il

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    ), RC= , () mJ 20J =A . 160-162 , 4. .

    1. CRR 2-- , 1 4 CRRZ x

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    2/-- RCC , 1 4 RCC

    Z y 222

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    0A =I , yx ZZ || , 0=+ yx ZZ .

    yx ZZ + , 16s101 ==

    RC. 148

    , 4. .

    2. ( ) 1132112 1jj1jjj

    j1 IZIkL

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    7. 20 . ( 95) 9.

    14:30 . .

    127 |

  • 128 |

  • 129 |

  • 130 |

  • 29. 2011.

    : 180 . 120 . . a , . . . , . , . . 5 , 20 .

    . .

    1. , a , , a , . ( .) 1i , . () () .

    ()2 =

    a

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    1 1

    22

    ()12L =

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    ()j ( )t =

    A

    B

    gi()

    AB ( )u t =

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    1 5 3 Ai = . ( .) () , () () .

    () () ()

    131 |

  • 4. , , , p 10 VU = 20 VCU = . 2i pu

    . () , () 1I 2I()=2I

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    ()12 =

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    ()( )u t =

    RE

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    2.

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    132 |

  • 2, 9. 2011.

    1. () 0 12 ln 2i =

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    .

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    11. 21 . ( 95) ( 95) 12. 8:30 9 . .

    133 |

  • 134 |

  • 135 |

  • 136 |

  • 137 |

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  • 141 |

  • 142 |

  • 143 |

  • 144 |

  • 145 |

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    ;\]XRUT ZTrXVXPkTNWaPO NXZPWbTPO \W NWbTPO RUVONX cWaXYW (\W 0>t T VXrXVXPUPT RYXV SVTcW\WP PW RaTkT) T VX_TUT NX.

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    K

    j

    2. o c[aO SV[RU[SXVT[ZTbPX RUVONX SVTcW\WP[Y PW RaTkTS[\PWUT RO [US[VP[RU R, cWSWkTUT]P[RU K, TPZOcUT]P[RU L, c[XrTkTNXPU RSVXgX k T XrXcUT]PX ]VXZP[RUT XYR UV[rW\P[ggXPXVWU[VW EEEE === 321 . EaXcUV[Y[U[VPX RTaX gXPXVWU[VW

    bTPX ZTVXcUWP RTRUXY. GVOiPW ObXRUWP[RU NXLC1

    = .

    AZVXZTUT T\VW\X \W XrXcUT]PO ]VXZP[RU PWS[PW 12U , XrXcUT]PO]VXZP[RU RUVONX I T WcUT]PO (RVXZ`O) RPWgO c[NO VW\]TNWUV[rW\PT gXPXVWU[V.

    147 |

  • AeACAH; BD =;>DD ; HEED @DeD>DGD EIB;GE 2, AeHDBA 15. DBoDHD 2012. Ae;BE

    6:=

    1. @W VXrXVXPUPX RYXV[]X OR][NXPX cW[ PW RaTkT NXr

    tINaE2

    sin2'20ind

    = .

    2. (W) )cos()( m tL

    Uti

    = T (f) )cos()( m tUt

    = .

    3. )sin(22 +2=T

    tQT

    i .

    4. (W) LC1

    0 = . (f) CLLCLGGL

    2422

    2/1++

    = .

    5. Aj=I , Ve5 4/j=U , SW NX (W) ( ) == j125,2e5 /4jZ T (f) ( )Sj121,0Se2,0 /4j +== Y .6. ( ) mA e 120e S 1 ==

    tt

    LR

    RE

    ti \W 0>t .

    E=F=G:1. ( )( )432141 RRRRCL ++= T ( )213412 RRRCL += . CTZXUT \WZWUWc 350 T\ %&'()* ,-.) ', /0123 *4*).(2.*51')*, 4 -*2, B24 C(2D*1E'3'5 0.(FG.

    2. ErXcUT]PW ]VXZP[RU PWS[PW NX 312 kEU = , XrXcUT]PW ]VXZP[RU RUVONX NX ( )222 1423

    kCLR

    kEI+

    = . DcUT]PW RPWgW

    UV[rW\P[g gXPXVWU[VW NX ( )2222

    14

    9

    kCLR

    REP+

    = . CTZXUT \WZWUWc 406 T\ %&'()* ,-.) ', /0123 *4*).(2.*51')*, 4 -*2,

    B24 C(2D*1E'3'5 0.(FG.

    HE@oF>D>; ;D ;E ADCEB; eA 17. DBoDHD o 21 tDGE (o FDAHD>AH;; 95W) ; o=;oDFBD o

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    17. 2009. 1 2 3 4 5 6

    21. 2009. 1 2 3 5 6

    18. 2009. 1 2 3 5 6

    5. 2009. 1 2 3 4 5 6

    26. 2009. 2 3 4 5 6

    3. 2009. 1 2 5 6

    23. 2010. 2 3 4 5 6

    20. 2010. 1 2 3 4 5 6

    3. 2010. 1 2 3 4 5 6

    26. 2010. 1 2 3 4 5 6

    9. 2010. 1 2 3 4 5 6

    16. 2011. 2 3 4 6

    6. 2011. 2 3 4 5

    18. 2011. 1 2 3 4 6

    9. 2011. 1 2 5 6

    3. 2011. 1 3 4 5 6

    15. 2012. 1 2 3 4 5 6

    5. 2012. 1 2 3 4 5 6

    2012-12-29T21:17:46+0100 I am the author of this document