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  • 8/13/2019 Zadaci DC Kola

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    I -

    1. , , R1 = 1 , R 2 = 2 R 3 = 4 .

    AB 1 2 3 1 2 4 7 R R R R= + + = + + =

    AB 1 2

    1 1 1 1 1 31 2 2 R R R

    = + = + =

    AB

    2,!!7

    3 R = =

    "1 2

    AB 1 2 1 2

    1 1 1 R R

    R R R R R

    += + =

    1 2AB

    1 2

    1 2 2,!!7

    1 2 3 R R

    R R R

    = = = = + +

    AB 1 2 3

    1 1 1 1 1 1 1 4 2 1 7

    1 2 4 4 4 R R R R

    + += + + = + + = =

    AB

    4,#7

    7 R = =

    2 323

    2 3

    2 41,333

    2 4 R R

    R R R

    = = = + +AB 1 23 1 1,333 2,333 R R R= + = + =

    AB 1 1 1 R R R= + = =

    111 1 1 1 1

    1 1 1 1 3 R R R R R

    = + + =

    1111

    1,333

    3 3

    R R = = =

    AB 1 111 1 ,333 1,333 R R R= + = + =

    $1$

    % 1

    % 3

    % 2A B

    % 2A B

    % 1

    % 2A B

    % 1

    % 3

    % 1

    % 3A B

    % 2

    % 1A B% 2

    % 1A

    % 1

    % 1

    B%

    1

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    2. & ' E ( 12,# ) *+ R =0,05 , l ( 3 m, ( ! -- 2 / ! ( , 17# -- 20-, * R = 10 " # $ % & *.

    "

    , 7#l l

    R

    = = 5 "

    + ( 2 1 , 22#l R R R R+ + = .6 * 8

    , "+

    1, 223A E

    & R

    = = .

    !. 9 " ' E ( 24 ),*+ R = 0,05 , R l = 0,1 ,

    R ( # . : "

    ' % & *,

    ; ' ( ) 1 * ) 2, '; < ) .

    ' $* + '; 8 < + .

    = " +( 2 #,3l R R R R+ + =

    6 "+

    244,#3A

    #,3 E

    & R

    = = = .

    ;= & '" 1 )( 23,77 )) E R & = , * 2 ( 22, !#)) R & = .6 , '; >= 8 ;"

    1 2( 1,12 )) ) ) = .= ?8 * 2 @( 1 2, ! + R & = , ' 8 ( #, 7 + ) & = .

    ". ' E 1 ( 4 ),

    E 2 ( 24 ) E 3 ( 3! ), *

    R 1 = 0,02 , R 2 = 0,02 R = 0,0 , $- . R ( 7,# . : "

    ' % & * ' *

    $2$

    C

    % @

    % D

    E

    l

    C

    % @

    % D

    E

    % l

    % l

    C

    % @

    % D

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    % l

    % l

    E

    F1

    E

    F2

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    * 8 * G 1# .

    ;= ', . E 2 .

    = DD HI/ * 8 ;"1 1 2 2 3 3 @ E & R E & R E & R & R + + =, *

    ( )1 2 3 1 2 3 @ E E E & R R R & R+ + = + + + + @/ E & R & R= +

    1 2 3 4 24 3! 1 )/ E E E E = + + = + + =+ 1 2 3 , 7 R R R R= + + =

    6 8 ;"

    + @

    114,27A

    , 7 7,#/ E &

    R R= = =+ +

    5' * 8 * * "2 2

    @ @

    1#7,# 14, 27 G 14,13J K

    !R & = = + =

    ;= 2 "L L L L+ + @ E & R & R= + L+ 1 2 3 4 24 3! ! ) E E E E = + = + =L+ + , 7 R R= =

    LL +

    L+ @

    !7,G2A

    , 7 7,# E

    & R R

    = = =+ +

    L L 2 2 @ @

    1#7,# 7,G2 G 4,3! J K

    !R & = = + =

    #. 9 " E ( 24 ), R1 = 4 , R 2 = 4 ,

    R3 = 3 " # $ & 1, & 2, & 3. H ' 8 * R2 ( 3 K.

    5 R2 R3 "2 3

    232 3

    2,4% R R

    R R

    = = + " + 1 23( !, 4 R R R+ =

    6 , & 1 * 8 ;" 1+ 1 23

    3,7#A E E

    & R R R

    = = =+

    $3$

    C1

    % @

    % 1

    E

    C2

    % 2

    E

    C3

    % 3

    E

    % 2

    C

    % 3

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    D2

    D3

    E

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    & R2 R3 " 23 1 23( G)) & R = " 23 2 2 3 3() & R & R=

    6 "23

    22

    2,2#A)

    & R

    = = 2323

    1,#A)

    & R

    = =

    :; ' * D HI/ > & = = , .." 1 2 3 & & & = .

    ;" 3,7# 2, 2# 1,# = , * . R2 ( 3K 8 * ' "

    22 2 2( ! , 7# KR & =

    $. 9 " E ( 24 ), R1 = 5 , R 2 = 4 ,

    R3 = 4 , R 4 = " # $ '.

    & ' ; ' ' ..

    5 R2 R3 "2 3

    232 3

    2% R R

    R R

    = = + " + 1 23 4( 12 R R R R+ + =

    6 , & 1 * 8 ;" 1+

    1A E

    & R

    = =

    D HI/ '" 1 2 3 1 2 3 & & & & & & = = +M 8 R2 R3 , > =. :, * R2 ( R3, & 2 ( & 3 ( & 1 0 2 ( ,#

    %. : E , ; F AB ( 12 ).

    5 $

    AB

    1 1 1 1 3 R R R R R

    = + + = , AB3

    R R = .

    $4$

    % 2C % 3

    % 1

    E

    % 4

    % 2C % 3

    % 1

    E

    % 4

    D1 D

    2D

    3

    % 23C

    % 1

    E

    % 4

    D1

    % A

    % %

    B% C

    E

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    H "

    6 " AB

    34

    3

    E E E &

    R R R R R= = =+ +

    & 8 ;" AB AB3

    3 4 4 R E E

    ) R & R

    = = = ,

    " AB4 4 12 4 ) E ) = = =

    &. H 8 , " E ( 12 ) R = 3

    6 " E

    & R R

    =+

    .

    & "

    1 2 ! )2 2 E E

    ) R & R ) R

    = = = = =

    & , * ' ) ( E ( 12 )

    9 ' "

    +1 2 R R R

    R R R

    = =+

    6 "2

    0 2 3

    E E &

    R R R= =

    +6 , N 8 ;"

    1 +1

    24 )

    2 3 3 R E E

    ) R & R

    = = = =

    $#$

    C%

    E

    D%

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    E)

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    2

    2 2)

    3 3 E E

    ) R & R R

    = = = =

    $!$