zadaci dc kola
TRANSCRIPT
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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
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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
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l
C
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% D
E
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C
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% l
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F1
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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
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% 2
C
% 3
% 1
D1
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
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% 2C % 3
% 1
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% 4
D1 D
2D
3
% 23C
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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
= = = =
$#$
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E)
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2
2 2)
3 3 E E
) R & R R
= = = =
$!$