Practica 3 Metodologia U50

7/17/2019 Practica 3 Metodologia U50

http://slidepdf.com/reader/full/practica-3-metodologia-u50 1/7

Practica 3 Metodología para determinar la tensióncritica de flameo en laboratorio para diferentes tipos

de sobretensiones

Alejandro Martínez TorresInstituto Politécnico Nacional

Escuela Superior de Ingeniería Mecánica y EléctricaTécnicas de las Altas Tensiones II

!" #$%&'()*+!" $%&'()* +% %,$- .&-/$(/- %" -"0')*

+%$%&'()-&- "- $%),(1) /&($(/- +%

2"-'%* 345 .-&- +(2%&%)$%, $(.*, +%,*6&%$%),(*)%, 78!98:9 ;'.0",* .*&

&-<* < '-)(*6&-=

-"

./'0*1233(4/ 5&40(36"

!

7869&*+3) 2"-'%* %, 0)- +%,/-&>- +%,/&(.$(?-

?(*"%)$- * - $&-?@, +% "- ,0.%&2(/(% +%

0) -(,"-'(%)$* ,*"(+* * "(A0(+*B C*,2"-'%*, */0&&%) ?(*"%)$-'%)$% %

()?*"0/&-) >&-)+%, /*&&(%)$%, <

>%)%&-"'%)$% /-0,-) 0) +-D*

/*),(+%&-6"%B 3) 2"-'%* %,$- ,(%'.&%

.&%/%+(+* .*& (*)(E-/(1)9 0 .&*/%,*

.*& %" /0-" "- -$'1,2%&- /(&/0)+-)$% ,%

?0%"?% /*)+0/$*&-B

C*, 2"-'%*, ,% .0%+%) .&%,%)$-& .*&

0)- 20>- +% %"%/$&*)%, - $&-?@, +% -

,0.%&2(/(% ,0/(- < FG'%+- +%

-(,"-+*&%,9 ,% .0%+% .&%,%)$-& .*& "-,

,*6&%$%),(*)%, .*& &-<* * .*& "-,,*6&%$%),(*)%, .*& -.%&$0&- < /(%&&% +%()$%&&0.$*&%, %) -"$- $%),(1)BHIJ

K(>I K"-'%* .&*+0/(+* .*& 0)- +%,/-&>-

-$'*,2@&(/- %) "*, -(,"-+*&%, +% 0)- "L)%-

+% $&-),'(,(1)B

! :(;'0($23(4/ <62;;(6/6+

M( ,% &%.($% 0) %N.%&('%)$* 0) >&-)

)0'%&* +% ?%/%, < "*, %&&*&%, ,*).0&-'%)$% -"%-$*&(*,9 "*, &%,0"$-+*,

$(%)+%) - ->&0.-&,% ,('@$&(/-'%)$% %)

$*&)* -" ?-"*& '%+(*B 80-)$-, '-,

?%/%, ,% &%.($- "- %N.%&(%)/(-9 '-, ,%

-/%&/-&-) "*, &%,0"$-+*, - 0)- /0&?-

,0-?% (+%-" ""-'-+- +(,$&(60/(1)

>-0,,(-)-B O) */-,(*)%, )* %, .*,(6"%

&%-"(E-& 0) >&-) )0'%&* +% ?%/%, 0)

%N.%&('%)$*9 M() %'6-&>*9 +% 0)-

.%A0%D- ,%&(% +% &%,0"$-+*, .*+%'*,

%,$('-& "*, .-&P'%$&*, %,$-+L,$(/* A0%/-&-/$%&(E-) - 0)- ,%&(% >&-)+%B Q*&$-)$*9 .*+%'*, F-/%& %,$('-/(*)%, +%"

/*'.*&$-'(%)$* %,$-+L,$(/* - .-&$(& +%0) .%A0%D* )0'%&* +% '%+(+-,B



!

=68*0 9&1(* > 1&;)(63(4/

&;'?/160"

:%/('*, A0% "- ?-&(-/(1) +% "*, +-$*,

%N.%&('%)$-"%, %,$- +(,$&(60(+-

)*&'-"'%)$% /0-)+* -" &%."(/-&'%+(+-, -.-&%/% 0)- +(,$&(60/(1) %)

2*&'- +% /-'.-)- /*'* "- A0% ,%'0%,$&- %) "- 2(>R ON(,$% "- '(,'-

.&*6-6("(+-+ +% A0% 0)- '%+(+- ,%-

'-<*& * '%)*& A0% "- '%+(-B C-

.&*6-6("(+-+ +% *6,%&?-& 0) ?-"*&

+(,'()0<% - '%+(+- A0% -0'%)$- "-+(,$-)/(- +% "- '%+(-B

K(>BR 8-'.-)- +% S-0,,B

C- '%+(- -&($'@$(/-9 ! 9 $-'6(@)

""-'-+- .&*'%+(*9 %, "- ,0'- +% "*,

?-"*&%, '%+(+*, +(?(+(+* .*& )9 %")0'%&* +% '%+(+-,B

! !

!!!

!

3) %N.%&('%)$* /*) 0)- +%,?(-/(1)

%,$P)+-& .%A0%D- %, '-, .&%/(,* A0%

*$&* /*) 0)- +%,?(-/(1) %,$P)+-& '-,

>&-)+%B 3)- .&%/(,(1) '-<*& )*

('."(/- )%/%,-&(-'%)$% '-<*&

%N-/$($0+ A0% ,(>)(2(/- .&*N('(+-+ - "-T?%&+-+U

C- +%,?(-/(1) %,$P)+-&9 ,9 %, 0)-'%+(+- +%" >&-+* +% .&*N('(+-+ +% "*,

+-$*, %) $*&)* -" ?-"*& +% "- '%+(-B80-)$* '%)*, %, "- +%,?(-/(1)

%,$P)+-&9 '-, %,$&%/F-'%)$% ,%

->&0.-) "*, +-$*, -"&%+%+*& +% "-

'%+(-B

! !

!! ! ! !

!

! ! !

+*)+%V

)WIV O,.-/(* '-%,$&-" ("('($-+*B

Q-&- 0)- ,%&(% ()2()($- +% +-$*,9 "-

'%+(- ,% +%,(>)- /*) "- "%$&- '()G,/0"-

>&(%>- '0 !9 7"- '%+(- +% "- .*6"-/(1)=< "- +%,?(-/(1) %,$P)+-& ,% %,/&(6% /*)

"- "%$&- >&(%>- '()G,/0"- ,(>'-9 7"-+%,?(-/(1) %,$P)+-& +% "- .*6"-/(1)=

:%,?(-/(1) %,$P)+-& < .&*6-6("(+-+

C- 2*&'0"- +% "- /0&?- >-0,,(-)- %,

! !!

! !!!! !!!

!!!

!

+*)+% %XRBYIZRZ[ %, "- 6-,% +% "*,

"*>-&($'*, )-$0&-"%,B Q-&- 0)- ,%&(%

2()($- +% +-$*, ,% -.&*N('- ! - ! < ! - ,

%) "- 2(>0&- ,% .&%,%)$- "- %/0-/(1)

-)$%&(*& .-&- ! ! ! < ! ! ! 9 .*&

&-E*)%, +% ,('."(/(+-+B O" ?-"*&'PN('* +% < %,$- % NX !9 < "- /0&?- %,

,('@$&(/- %)$*&)* - NX ! B O, G$("%N.&%,-& "- +%,?(-/(1) &%,.%/$* -" ?-"*&

'%+(* %) 'G"$(."*, +% "- +%,?(-/(1)%,$P)+-&B O, +%/(&9 $&-),2*&'-'*, N %)E +% -/0%&+* /*)V

! !

! ! !

!

!

! ! !

!

C- .&*6-6("(+-+ +% '%+(& E %) 0) /(%&$*

()$%&?-"* %, (>0-" -" P&%- +% %,%

()$%&?-"*B HRJ

!

=*8'6%& 1& 1&;360@6 1(;02A'()61&8 3(/32&/'6 A*0 3(&/'*BCDEF+

O, %" ?-"*& .&*,.%/$(?* +% "- $%),(1)

+% .&0%6- A0% $(%)% 0) 45\ +%

.&*6-6("(+-+ +% .&*+0/(& 0)-+%,/-&>- +(,&0.$(?-BH]J



G0*3&1(9(&/'*; 1& A02&$6; 1&

86$*06'*0(*

C*, .&*/%+('(%)$*, +% .&0%6-

-."(/-+*, - ?-&(*, $(.*, +% -(,"-'(%)$*

,% +%,/&(6%) %) %,$P)+-&%, )-/(*)-"%,% ()$%&)-/(*)-"%,B %" A0% */0&&% '-,

/*'G)'%)$% %) "*, ,(,$%'-, %"@/$&(/*,< -.-&-$*, ,*) +% *&(>%) +% ('.0",*

.*& &-<* < +% '-)(*6&-9 %) %"

"-6*&-$*&(* ,% ""%?-) -/-6* R '@$*+*,

.-&- +%$%&'()-& "- $%),(1) /&($(/- +%

2"-'%* "*, /0-"%, ,*)VW3Q !^: :_`^

Wa3Cb;^;cOCOM

HI'*1* CG JK: :#LK

" O) %,$% '@$*+* ,% ,%"%//(*)-

0)- $%),(1) +% ()(/(* 3( /%&/-

+%" ?-"*& %,.%&-+* +% +%,/-&>-

+(,&0.$(?-B

" M% +%$%&'()- %" ()/&%'%)$* *

+%/&%'%)$* A0% ,% -."(/-&- -"

,(>0(%)$% )(?%" +% $%),(1)

-."(/-+*9 +%.%)+(%)+* +%"

&%,0"$-+* *6$%)(+*9 %"

()/&%'%)$* ,%&P +%" ]\ * 4\ <-,%- .-&- ('.0",* .*& &-<* * .*&'-)(*6&- &%,.%/$(?-'%)$%B

" M% &%-"(E-) +% ]5 - 45 "%/$0&-,

+%.%)+(%)+* %" $(.* +% $%),(1)

+% ('.0",* A0% ,%&P -."(/-+*B

" K()-"'%)$% /*) "-, "%/$0&-,*6$%)(+-, ,% +%$%&'()-) "-

'%+(- -&($'@$(/- < "- +%,?(-/(1)%,$P)+-& +% "- $%),(1) /&($(/- +%

2"-'%*B

HI'*1* 1& H28'(/()&8&;

O,$% '@$*+* ,% .&*/%+% +% "- ,(>0(%)$%

'-)%&-V

" M% %"(>%) ?-&(* )(?%"%, +%

$%),(1) +% .&0%6-B

" M% +%$%&'()- 0) )0'%&* +%

+(,.-&*, .*& )(?%" +% $%),(1)"

M% /*)$-6("(E-) %" )0'%&* +%

2"-'%*, A0% ,% .&%,%)$-) %)

/-+- )(?%""

M% >&-2(/- .7c= 7N(d)= /*)$&-c7ec=

" M% $&-E- "- "L)%- +% '%f*& -f0,$%9

- 0)- %,/-"- +% .&*6-6("(+-+B

"

:% "- "L)%- $&-E-+- ,% +%$%&'()-

345 %) EX5 * Q7?=X 45\

" g ,(>'- %) EXI * 345\W3Ih\

M" :&;600*88*

O) %,$- .&-/$(/- ,% %f%'."(2(/- "-

'%$*+*"*>L- .-&- .*+%& +%$%&'()-&

/0-" %, "- $%),(1) /&($(/- +% 2"-'%* 7345

=9 -."(/-)+* 0)- ,*6&% $%),(1) .*& &-<*9

.-&- %""* ,% 0$("(E* %" '@$*+* 3Q !^:

:_`^ - /*)$()0-/(1) +%,/&($*B

8*'* .&('%& .-,* ,% %,$-6"%/(1 %"

?-"*& +% $%),(1) ()(/(-" /*) %" /0-"

/*'%)E-&L- "- .&0%6- %, /0-" 20% +%V

!"#"$"%& ! !""!"

M%>0(+* +% %""* ,% %,$-6"%/(1 %"()/&%'%)$* i39 %" /0-" ,%&P ,0'-+* *

&%,$-+*9 - "- $%),(1) ,(>0(%)$% A0% ,%

-."(A0%9 +%.%)+(%)+* ,( ,% .&%,%)$- %"2"-'%* * )*9 +% -/0%&+* - "* ()+(/-+*

.*& %" .&*/%+('(%)$* %" ?-"*& +%"()/&%'%)$* ,%&P %" ]\ 3()(/(-"

!! ! !""!"

!

!!

!" ! !!"

<- A0% ,% $(%)% %" ?-"*& +%" ()/&%'%)$*9

,% .&*/%+% - &%-"(E-& "-, "%/$0&-,9 %) "-

$-6"-I ,% '0%,$&-) "*, &%,0"$-+*,

*6$%)(+*, .-&- /-+- 0)* +% "*, I5

+(,.-&*,7.-&- %,$% %f%'."* .-&$(/0"-&

&%-"(E-+* %) /"-,%9 G)(/-'%)$% ,%



.&*.0,(%&*) I5 "%/$0&-9 .%&* "-

'%$*+*"*>L- %,$-6"%/% ]5 "%/$0&-, .-&-

$%),(1) +% 2"-'%* .*& ('.0",* .*&

&-<*=

%) "- $-6"- )0'%&* I ,% '0%,$&-) "*,&%,0"$-+*,9 .&*.0%,$*, .-&- /-+- 0)*

+% "*, +(,.-&*,9 +*)+% %) /-,* +%.&%,%)$-&,% %" 2"-'%* %) "- .&1N('-

"%/$0&- ,% "% &%,$* %" ()/&%'%)$* +% ]ec

.&%?(-'%)$% %,$-6"%/(+*9 < %) /-,*

/*)$&-&(* +% )* .&%,%)$-&,% %" 2"-'%*

,% "% ,0'-&*) "*, ]ecB

b!jC! I kOM3Cb!:_M _jbO^;:_M O^bO^M;_^ 8k;b;8! :O KC!aO_

;aQ3CM_ Q_k k!g_C%/$0&- b%),(1) !."(/-+-

HecJ

k*'.%

! I55 ^*

- I55l!!XI5] M(

M I55W !!XI55 ^*

N I55l!!XI5] ^*

D I5]l!!XI5h M(

O I5hW !!XI5] M(

P I5]W !!XI55 M(

Q I55W!!

XmY M(R mYW!! Xmn ^*

!E mnl!! XmY M(

8*) "*, +-$*, *6$%)(+*, ,% .&*/%+(1 -

+%$%&'()-& "- 3459 .*& '%+(* +% "-

,(>0(%)$% 2*&'0"-V

!!" !!!!

!

!!"

!

!"" ! !"# ! !"" ! !"# ! !"# ! !"# ! !"" ! !" ! !" ! !"

!"

! !""!!!"

! /*)$()0-/(1) ,% .&*/%+(1 -

+%$%&'()-& "- +%,?(-/(1) %,$P)+-&

-."(/-)+* "- ,(>0(%)$% 2*&'0"-V

!

!! ! !!"!

!

! ! !

! !

!!"!

!!"

! ! !!!"#$!"

8*) "* /0-" ,% $(%)% /*'* &%,0"$-+* "-$%),(1) /&($(/- +% 2"-'%*9 .-&- 0)-

.&0%6- +% ('.0",* .*& &-<* (>0-" -V

!!" ! !""!!! !!!"#$

!"!

O) "- ,(>0(%)$% >&-2(/- ,% '0%,$&-) "*,

?-"*&%, +% $%),(1) -."(/-+*, %) /-+-0)- +% "-, I5 "%/$0&-,B

K(>B ] S&-2(/- $%),(1) /&($(/- +% 2"-'%*

('.0",* .*& &-<*

Q-&- %" ,%>0)+* %f%'."* ,% ,('0"- "-

.&0%6- .-&- +%$%&'()-& "- $%),(1)

/&($(/- +% 2"-'%* 345 .-&- 0)-

,*6&%$%),(1) .&*+0/(+- .*& '-)(*6&-7-.%&$0&- * /(%&&% +% ()$%&&0.$*&%, +%

.*$%)/(-=9 %'."%-)+* %" '@$*+* 3Q

!^: :_`^B8*'* .&('%& .-,* ,% %,$-6"%/(1 %" )(?%"

+% $%),(1) /*) %" /0-" ,% /*'%)E-&- "-.&0%6- %" /0-" 20%V

5R5

n5

h5

Z5

I55

IR5

I R ] n 4 h Y Z m I5

ST=U

K29&0* 1& G02&$6

5&/;(4/ V0('(36 1& 7869&* A*0 .9A28;*A*0 W6>*



!"#"$"%& ! !"#!"

+%,.0@, ,% +%$%&'()* "*, ()/&%'%)$*,9

.-&- "* /0-" %) 0)- .&0%6- .-&- ,*6&%

$%),(1) .*& '-)(*6&- ,%&P +%" 4\ +%"

?-"*& +% $%),(1) ()(/(-" .*& "* /0-"V

!! ! !"#!"

!

!!!" ! !!!"!"

3)- ?%E %,$-6"%/(+*, "*, ?-"*&%, +%

()(/(* < +% ()/&%'%)$* * +%/&%'%)$*

+%.%)+(%)+* +%" &%,0"$-+* +% "-

.&0%6-9 ,% .&*/%+(1 - &%-"(E-& 45+(,.-&*,9 .-&- -,L .*+%& *6$%)%& %"

?-"*& +% "- $%),(1) /&($(/- +% 2"-'%* <,0 +%,?(-/(1) %,$P)+-&B ! /*)$()0-/(1)

%) "- $-6"- R ,% '0%,$&-) "*, &%,0"$-+*,,0.0%,$*,B

b!jC!R kOM3Cb!:_M _jbO^;:_M :O

bO^M;_^ 8k;b;8! :O KC!aO_

;aQ3CM_ Q_k a!^;_jk!

!"#$%&' )"*+,-* ./0,#'1'

2345

6-7/"

8 !"# %&

9 !'()'# %&

:!'!)# *+

; !'()'# %&

< !'!)# %&

= !!,)-# *+

> !'!)# *+

? !'()'# *+

@ !"# %&

8A !'()'# *+

88 !"# *+

89 !,!)-# %&

8: !"# %&

8; !'()'# *+

8< !"# *+

8= !,!)-# %&

8> !"# %&

8? !'()'# *+

8@ !"# *+

9A !,!)-# *+

98 !,()# %&

99 !,!)-# %&

9: !"# %&

9; !'()'# *+

9< !"# %&

9= !'()'# *+

9> !"# *+

9? !,!)-# %&

9@ !"# %&

:A !'()'# %&

:8 !'!)# *+

:9 !'()'# *+

:: !"# *+

:; !,!)-# %&

:< !"# %&

:= !'()'# *+

:> !"# *+

:? !,!)-# %&

:@ !"# *+

;A !,!)-# %&

;8 !"# %&

;9 !'()'# %&

;: !'!)# *+

;; !'()'# *+

;< !"# %&

;= !'()'# *+

;> !"# *+

;? !,!)-# %&

;@ !"# %&

<A !'()'# %&

3)- ?%E *6$%)(+*, "*, &%,0"$-+*, .-&-/-+- +(,.-&*9 ,% /-"/0"* %" ?-"*&

.&*'%+(* +% "- $%),(1) /&($(/- +%

2"-'%* '%+(-)$% "- ,(>0(%)$% %/0-/(1)V

!!" !!!!

!

,0,$($0<%)+*V



!!" !!!"#!!"!"

!" ! !"#!!"#!"

:%,.0@, ,% .&*/%+(1 - /-"/0"-& "-+%,?(-/(1) %,$P)+-& .*& '%+(* +% "-

2*&'0"- ,(>0(%)$%V

! !

!! ! !!"!

!

! ! !

! !

!""#!!"#!!"

!! ! !!!"#!!"

<- /*) "*, +-$*, *6$%)(+*, 20% .*,(6"%

+%$%&'()-& "- $%),(1) +% 2"-'%* 7345=9Q-&- 0)- ,*6&%$%),(1) .*& a-)(*6&-B

!!" ! !"#!!"#! !!!"#! !"!

O) "- ,(>0(%)$% 2(>0&- ,% '0%,$&- "*,

?-"*&%, +% $%),(1) -."(/-+* .-&- "-.&0%6- +% $%),(1) /&($(/- +% 2"-'%*

.-&- ('.0",* .*& '-)(*6&-B

K(>n b%),(1) -."(/-+- %) .&0%6- +%

,*6&%$%),(1) .*& ('.0",* .*& '-)(*6&-B

N" J/?8(;(; 1& W&;28'61*;"

:% -/0%&+* - "*, +-$*, *6$%)(+*, .-&-

/-+- 0)* +% "*, /-,*,9 - .%,-& +% ,%&?-"*&%, .&*.0%,$*, < )* "*, *6$%)(+*,

%N.%&('%)$-"'%)$%9 %) %" .&('%& /-,*

.-&- "- $%),(1) /&($(/- +% 2"-'%* .*&

('.0",* .*& &-<*9 ,% .0%+% *6,%&?-&

A0% %" ?-"*& ()(/(-" )* ?-&(* +%'-,(-+*

/*) &%,.%/$* -" ?-"*& .&*'%+(*

*6$%)(+* "0%>* +% "-, I5 .&0%6-,

&%-"(E-+-,9 -" (>0-" A0% ,0 +%,?(-/(1)%,$P)+-& )* 20% '0< >&-)+% "* A0%

()+(/- A0% "- */0&&%)/(- +% A0% ,0/%+-0) 2"-'%* ,% %)/0%)$&- %) %" &-)>*

345XI55B]ldW ]B4m ecB

a(%)$&-, A0% .-&- %" /-,* R .-&- "-

$%),(1) /&($(/- +% 2"-'%* &%,0"$* ,%& +%

0) ?-"*& '0< +(2%&%)$% -" ?-"*&.&*.0%,$* /*'* ()(/(-"9 -+%'P, +%

.&%,%)$-& 0) '-&>%) '-, -'."(* +%+%,?(-/(1) %,$P)+-&9 +%6(+* - "-

?-&(-/(1) A0% %N(,$(1 %) "*, +(2%&%)$%,$%),(*)%, - "-, A0% ,% .&%,%)$* "-

+%,/-&>-B

D" V2&;'(*/60(*:%2()- "*, ,(>0(%)$%, /*)/%.$*,V

• 345V O, "- $%),(1) /&($(/- +%

2"-'%* A0% $(%)% .&*6-6("(+-+

+% A0% */0&&- +% 0) 45\

• 3m5V C- $%),(1) A0% ,% .&%,%)$-

%) "- .&0%6- +% j&%-e+*o)• :(,$&(60/(1) S-0,,(-)-V %, 0)-

+(,$&(60/(1) +% .&*6-6("(+-+ +%

?-&(-6"% /*)$()0- A0% +%,/&(6%

"*, +-$*, A0% ,% ->&0.-) %)

$*&)* - 0) ?-"*& /%)$&-"B b*+*

.&*/%,* %) %" A0% ,*"* %N(,$-)

/-0,-, -"%-$*&(-, +% ?-&(-/(1)

,(>0% 0)- "%< +% +(,$&(60/(1)

)*&'-

• !(,"-'(%)$* !0$*&&%/0.%&-6"%V

O, -A0(%" A0% &%/0.%&- ,0,.&*.(%+-+%, +(%"%/$&(/-,

+%,.0%, +% .&%,%)$-&,% 0)-

&0.$0&-9 %" -(,"-'(%)$*-0$*&&%/0.%&-6"% '-, /*)*/(+*

%, %" -(&%B

:%,/&(6- %" '%$*+* '0"$()(?%"V

5

45

I55

I45

R55

I n Y I5I]Ih Im RRR4RZ ]I]n]Y n5 n]nh nm

ST=U

K29&0* 1& G02&$6

5&/;(4/ V0('(36 1& 7869&* A*0

H6/(*$06



" M% %"(>%) ?-&(* )(?%"%, +%

$%),(1) +% .&0%6-B"

M% +%$%&'()- 0) )0'%&* +%

+(,.-&*, .*& )(?%" +% $%),(1)

" M% /*)$-6("(E-) %" )0'%&* +%

2"-'%*, A0% ,% .&%,%)$-) %)/-+- )(?%"

" M% >&-2(/- .7c= 7N(d)= /*)$&-

c7ec=

"

M% $&-E- "- "L)%- +% '%f*& -f0,$%9

- 0)- %,/-"- +% .&*6-6("(+-+B

" :% "- "L)%- $&-E-+- ,% +%$%&'()-

345 %) EX5 * Q7?=X 45\" g ,(>'- %) EXI * 345\W3Ih\

Q*& A0% %, $-) -"%-$*&(- "- &0.$0&- %)

0) -(,"-'(%)$* -" -."(/-&,*6&%$%),(*)%, +%" $(.* $&-),($*&(*

7('.0",* .*& &-<* * '-)(*6&-=p

O, +%6(+* - A0% "- &0.$0&- .0%+%

*/0&&(& <- ,%- %) %" 2&%)$%9 .(/*9 0 /*"-

+%" "- *)+-9 -+%'-, +% A0% "*, 2-/$*&%,

-$'*,2%&(/*, $-'6(%) ()$%&2(%&%) %) ,(

,0/%+% * )* "- &0.$0&-B

O" V*/382;(*/&;

O) %,$- .&-/$(/- ,% /*'.&%)+(1 "-'%$*+*"*>L- A0% ,% $(%)% A0% ,%>0(&9

.-&- .*+%& +%$%&'()-& /0-" %, "-

$%),(1) /&($(/- +% 2"-'%* 345 -."(/-)+*0) $%),(1) +% 8!9 8:9 ('.0",* 7.*&

&-<* * '-)(*6&-=9 .*& '%+(* +%"'@$*+* 3Q !^: :_`^9 +*)+% ,%

%,$-6"%/% 0) ?-"*& +% $%),(1) ()(/(-" <

0) ?-"*& +% ()/&%'%)$* A0% ,%

+%$%&'()- +% -/0%&+* +% "- ,*6&%

$%),(1) A0% ,%&P -."(/-+- ,(%)+* +%"

]\ +%" ?-"*& ()(/(-" ,( ,% $&-$- +% 0)

('.0",* .*& &-<* < +%" 4\ ,( ,% $&-$- +%

0) ('.0",* .*& '-)(*6&-9 ,% /*'(%)E-.*& -."(/-& %" .&('%& )(?%" +% $%),(1) <

%) /-,* +% .&%,%)$-&,% %" 2"-'%* ,%.&*/%+% - &%,$-& %" ?-"*& +%"

()/&%'%)$* .-&- &%-"(E-& "- ,(>0(%)$%

.&0%6-9 .*& %" /*)$&-&(* ,( -" -."(/-& %"

)(?%" +% $%),(1) )* ,% .&%,%)$- %"

2"-'%*9 - "- .&1N('- .&0%6- ,% "%()/&%'%)$- %" )(?%" +% $%),(1) -."(/-+*

-,L .-&- /-+- .&0%6- F-,$- /*'."%$-&]5 "%/$0&-, ,( ,% $&-$- +% 0) ('.0",*

.*& &-<* < +% 45 "%/$0&-, .-&- 0)('.0",* +% '-)(*6&-B

g- /*) "-, "%/$0&-, *6$%)(+-, ,%

.&*/%+% - +%$%&'()-& "- '%+(-

-&($'@$(/-9 -,L /*'* "- +%,?(-/(1)

%,$P)+-&9 "- /0-" &%.&%,%)$- %" ()$%&?-"*

+*)+% ,% .&%,%)$-&- "- $%),(1) +%

2"-'%*B O, ('.*&$-)$% $*'-& %) /0%)$-

"-, /*)+(/(*)%, -$'*,2@&(/-, A0%

.0%+%) */-,(*)-& A0% ,% .&%,%)$% "-

&0.$0&- .*& 2"-'%*B

P" W&X&0&/3(6;"

HIJ O)&(A0%E q-&.%&9 S("6%&$* Q&0%6-,< '-)$%)('(%)$* - %A0(.*, %"@/$&(/*,B

a@N(/* O+ C('0,-9 R55mB

HRJ :-)(%" 8B q-&&(,9 !)P"(,(, r0L'(/*80-)$($-$(?* O+B k%?%&$%9R55IB

H]J ;OOO M$-)+-&+ 2*& q(>FWc*"$->%b%,$()> b%/F)(A0%,

Documents

Practica 3 Metodologia U50