Previo 2 Lita

Informe Previo 2 Laboratorio de Mediciones Electrónicas

UNIVERSIDAD NACIONAL MAYOR DE SAN MARCOS (Universidad del Perú, DECANA DE AMERICA)

FACULTAD DE INENIERIA ELECTRICA Y ELECTRONICA CURSO! MEDICIONES ELECTRONICAS TEMA!  PROFESOR! Ing. LITA MARTES: 14 – 17 HORAS HORAS "ORARIO! MARTES:

ALUMNO

CODIO

EGOA EG OAVI VIL L BON BONIF IFA ACIO, CIO, RIC RICHA HARD RD JON JONA ATHAN THAN

1419 141900 0010 10

Ing. Lita

1


Ciudad Universitaria, 27 de Setiembre del 2016

E#PERIENCIA N$ %! ERRORES

I&

O'ETIVO!

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•

II&

Idn!"#$%& &&'&( d )d"$"*n, $%+(%( + -' '&"g"n%n  (+ "n$"dn$"% n -%( )d"d%( d -'( d"/&n!( %&)!&'( d +n $2!'. D!&)"n%$"*n d- 3%-'&  g&%d' d "n$&!"d+)& n -% )d"d% d +n %&)!&'.

CUESTIONARIO PREVIO!

& De*nir + dar ee-.l/ de! a& Ci0ras si1ni*2a3ivas

L%( $"/&%( ("gn"#$%!"3%( d +n n5)&' ('n %+--%( + !"nn +n ("gn"#$%d' &%- , '& !%n!', %'&!%n %-g+n% "n/'&)%$"*n. T'd% )d"$"*n 6&")n!%- ( "n6%$!%  ( d 6&(%& $'n (+( $"/&%( ("gn"#$%!"3%(. Ee-.l/!

S+'ng%)'( + )d")'( -% -'ng"!+d d +n% )(% $'n +n% &g-% g&%d+%d% n )"-)!&'(. E- &(+-!%d' ( +d 6&(%&, '& 8)-' $')':L'ng"!+d L ; <=,> $) N' ( (!% -% 5n"$% )%n&% d 6&(%& - &(+-!%d', +( !%)"?n +d (&: L ; 0,<=> ) L ; <,=> d) L ; <=> ))!$@ Ing. Lita

2

Informe Previo 2 Laboratorio de Mediciones Electrónicas S 6&( $')' ( 6&( - &(+-!%d' !"n !&( $"/&%( ("gn"#$%!"3%(, + ('n -'( dg"!'( $'n("d&%d'( $')' $"&!'( n -% )d"d%. C+)-n $'n -% d#n"$"*n +( !"nn +n ("gn"#$%d' &%-  %'&!%n "n/'&)%$"*n.

4& Al2an2e

A-$%n$ !%)"?n ( -% $%%$"d%d "n!-$!+%- ' /("$% %&% %'&d%& %-g'  %$$d& % --'. L%( /*&)+-%( d )d"$"*n (!n /+&% d )" %-$%n$.

2& Pre2isi5n

L% &$"("*n ( --3% % $%' )d"%n! - +(' %&'"%d' d )%!&"%- !$n'-*g"$' $%d% 3 )(  )( &/$!', -% /%-!% ' %+(n$"% d &$"("*n n -'( &'$d")"n!'( % --3%& % $%' +dn /$"-)n! %-!&%& &(+-!%d'(  gn&%& $'n/+("'n( ('& !'&%( + d '!&% )%n&% /+n$"'n%&%n $'&&$!%)n!.

d& E6a23i37d E( -% &'6")"d%d %- 3%-'& &%- d -% $%n!"d%d % (& )d"d% ( &%-)n! - g&%d' d %&'6")%$"*n $'n + +n 3%-'& )d"' $'n$+&d% $'n - 3%-'& 3&d%d&'. A+n+ (!% d#n"$"*n ")-"+ %$+&d', -' %"!+%- ( 6&(%& -% 6%$!"!+d n !?&)"n'( d -% d"($&%n$"% ' d"/&n$"% n!& - 3%-'& )d"d'  - 3%-'& 3&d%d&'.

'd)'( 3& +n 8)-' d &$"("*n  6%$!"!+d, g&#$%)n!:

Ing. Lita

3


e& Sensi4ilidad

L% (n(""-"d%d d +n "n(!&+)n!' ( d!&)"n% '& -% "n!n("d%d d $'&&"n! n$(%&"% %&% &'d+$"& +n% d(3"%$"*n $')-!% d -% %g+8% "nd"$%d'&% % !&%3?( d -% ($%-%. E- g&%d' d (n(""-"d%d ( 6&(% d d'( )%n&%(, (g5n ( !&%! d +n %)&)!&' ' d +n 3'-!)!&'.

0& Paralae

E( +n% "-+("*n *!"$% + %$ + +n '8!' ( 3% d d"/&n! /'&)% (g5n - ng+-' $'n + ( '(&3%. '& !%n!', -% %g+8% d +n )d"d'& %%&$ n d"/&n!( '("$"'n( &($!' % -% ($%-%, (g5n - ng+-' d '(&3%$"*n. %&% -")"n%& (!'( &&'&(, - '8' d )"&%& d"&$!%)n! n$")% d -% %g+8%.

1& Res/l72i5n

E( - "n$&)n!' )( +' + &)"! d"/&n$"%& +n% -$!+&% d '!&%.

Ing. Lita

4


8& T/leran2ia

L% !'-&%n$"% d- ("(!)% d )d"$"*n ('n -'( "n$&)n!'( n -%( )d"d%( d- ("(!)% d )d"$"*n !%)"?n --%)%d'( &('-+$"*n ' d"($&")"n%$"*n. L% !'-&%n$"% d- &'$(' ( -% d(3"%$"*n &)"!"d% d +n 3%-'& '8!"3' + )%n!"n - &'*("!' d- &'d+$!' 3%&"%$"*n d- &'$('. '& 8)-', +(!d &'d+$ '-g&%/'( $'n +n d")!&' 6!&n' d -% (/&% d 0.= )). L%( (/&%( %$!%-( )"dn n!& 0.4  0. )). C+%nd' ( &(!% -'( d")!&'( )6")'  )n")', -% !'-&%n$"% d- &'$(' ( 0.0>D"d' % + +n ("(!)% d )d"$"*n d %(%n' %(% !"n d'( %&!(, (+ !'-&%n$"% d d"3"d"& -% !'-&%n$"% d- &'$(' %- )n'( n >0 %&!(, n +n% d -%( /'&)%( ("g+"n!(: 10 %&!( %&% - ("(!)% d )d"$"*n d %(%  10 %&!( %&% - ("(!)% d )d"$"*n d n' %(% >0 %&% !'d' - ("(!)% d )d"$"*n d %(%n' %(%

%& De*na l/s si17ien3es 39r-in/s!

a& Medida

S $'n'$ $')' )d"d% %- &(+-!%d' d )d"& +n% $%n!"d%d d($'n'$"d% +!"-"%nd' $')' %&)!&' +n% $%n!"d%d $'n'$"d% d -% )"()% )%gn"!+d + (& -g"d% $')' +n"d%d.

4& Tes3 Ing. Lita

5

Informe Previo 2 Laboratorio de Mediciones Electrónicas S'n !?$n"$%(, '& (' ( %-"$%n % $%('( $'n$&!'( $'n #n( +!"-"!%&"'(. L' + ( )"d ( -% 6!&"'&"%$"*n d $"&!%( %$$"'n( d +n (+8!' ' +n% (&" d "n(!&+)n!'( + &)"!n $%!%-'g%&-' n $"&!%( $%!g'&%(.

2& Ins3r7-en3/

Kn "n(!&+)n!' d )d"$"*n ( +n %%&%!' + ( +(% %&% $')%&%& )%gn"!+d( /("$%(, +dn (& %n%-*g"$'( $'n %g+8%( ' d"g"!%-(, )d"%n! +n &'$(' d )d"$"*n. C')' +n"d%d( d )d"d% ( +!"-"%n '8!'(  (+$('( &3"%)n! (!%-$"d'( $')' (!nd%&( ' %!&'n(  d -% )d"$"*n &(+-!% +n n5)&' + ( -% &-%$"*n n!& - '8!' d (!+d"'  -% +n"d%d d &/&n$"%.

d& Ins3r7-en3/ anal51i2/

E(!'( "n(!&+)n!'( (+-n !n& +n% ($%-% $'n d"3"("'n( /&n! % -% + ( )+3 +n% %g+8%. L% %g+8% %(% /&n! % -'( "n#n"!'( +n!'( d -% ($%-%. A- %-$%n%& - 3%-'& + )"d - %%&%!' -% %g+8% ( d!"n n +n +n!' + +d $'"n$"d"& )( ' )n'( $'n +n% d"3"("*n d -% ($%-%. E(% d"3"("*n ( -% + -)'( n'('!&'( n - %$!' d -% )d"d% d"&$!%.

e& Ins3r7-en3/ di1i3al

En -'( "n(!&+)n!'( d"g"!%-( - n5)&' + &&(n!% 3%-'& d -% )d"d% %%&$ &&(n!%d' '& +n% $"/&% d"&$!%)n! n -% %n!%--% + '( d"$' "n(!&+)n!'.

0& Clase del ins3r7-en3/

Ing. Lita

6

Informe Previo 2 Laboratorio de Mediciones Electrónicas E(!'( ( $-%("#$%n (g5n (+ '&$n!%8 d &&'&, (! 3%-'& ( n$+n!&% n -% %&! d -%( &/&n$"%( d +n "n(!&+)n!' %n%-*g"$', ( +n% d -%( &")&%(. S'n 7 -%( $-%("#$%$"'n(, d: 0,1 0,> 0,= 1 1,= >,= = '&$n!%8 d &&'& d- "n(!&+)n!'. Porcentaje de Error =

Error Absoluto

x 100

Escala !xima

:& De*nir l/s si17ien3es val/res!

a& Real

E( - 3%-'& ("n n"ng5n &&'&.

4& Fid72iari/

L'( #d+$"%&"'( !"nn - d& d %$!+%& 6$-+("3%)n! n n#$"' d %+?--'( % +"n( &&(n!%n.D$( d -%( $'(%( $+' 3%-'& dnd d -% $'n#%n% ' $&?d"!' + )&$%n.

2& N/-inal

E( -% 3%-'& + (!%-$ % (% +n% $%%$"d%d -)"! ' +n% $'nd"$"*n -)"! %&% +n d"('("!"3' -$!&*n"$'. E(!'( d!&)"n%d' '& -'( 3%-'&( ($#$'( d- n!'&n'  d /+n$"'n%)"n!'  +d (& (!%-$"d' n d"/&n!( !?&)"n'(.

d& Medid/

E( - 3%-'& + ( '!"n %- +(%& +n "n(!&+)n!' d )d"$"*n. Ing. Lita

7


e& Verdader/

E( - 3%-'& d +n% $%n!"d%d /("$% + ( %!&"+"& % +n ("(!)% + '8!' /("$' (" +d"&% d!&)"n%&( ("n &&'&.

;& Presen3e 7na 2lasi*2a2i5n de err/res&

A!nd"nd' %- '&"gn d'nd ( &'d+$n - &&'&, +d %$&( +n% $-%("#$%$"*n gn&%- d (!'( n &&'&( $%+(%d'( '& - "n(!&+)n!' d )d"$"*n &&'&( +)%n'(  $%+(%d'( '& - )d"' %)"n! n + ( %$ -% )d"$"*n. Err/res ./r el ins3r7-en3/ / e<7i./ de -edi2i5n L%( $%+(%( d &&'&( %!&"+"-( %- "n(!&+)n!', +dn d&( % d/$!'( d /%&"$%$"*n d%d' + ( ")'("- $'n(!&+"& %%&%!'( &/$!'(. E(!'( +dn (& d/'&)%$"'n(, /%-!% d -"n%-"d%d, ")&/$$"'n( )$n"$%(, /%-!% d %&%--"()'. Err/res del /.erad/r / ./r el -93/d/ de -edi2i5n L%( $%+(%( d- &&'& %-%!'&"' ( dn %- '&%d'&, /%-!% d %g+d% 3"(+%-, d($+"d', $%n(%n$"', %-!&%$"'n( )'$"'n%-(. Err/r ./r el 7s/ de ins3r7-en3/s n/ 2ali4rad/s L'( "n(!&+)n!'( n' $%-"&%d'( ' $+% /$% d $%-"&%$"*n (!% 3n$"d%, %( $')' "n(!&+)n!'( ('($'('( d &(n!%& %-g+n% %n'&)%-"d%d n (+ /+n$"'n%)"n!' n' dn +!"-"%& %&% &%-"%& )d"$"'n( %(!% + n' (%n $%-"&%d'(  %+!'&"%d'( %&% (+ +('. Err/r ./r 07er=a eer2ida al e0e237ar -edi2i/nes (>e6i5n a l/ lar1/ de la s7.er*2ie de re0eren2ia) L% /+&% 8&$"d% %- /$!+%& )d"$"'n( +d &'3'$%& d/'&)%$"'n( n "% '& )d"&, - "n(!&+)n!' ' %)'(, '& -' !%n!' ( +n /%$!'& ")'&!%n! + d $'n("d&%&( %&% -g"& %d$+%d%)n! - "n(!&+)n!' d )d"$"*n %&% $+%-+"& %-"$%$"*n %&!"$+-%&.

Ing. Lita




Err/r ./r ins3r7-en3/ inade27ad/ An!( &%-"%& $+%-+"& )d"$"*n ( n$(%&"' d!&)"n%& $+- ( - "n(!&+)n!' ' +"' d )d"$"*n )( %d$+%d' %&% %-"$%$"*n d + ( !&%!, %d)( d /+&% d )d"$"*n ( n$(%&"' !n& &(n! '!&'( /%$!'&( !%-( $')': $%n!"d%d d "%( '& )d"&. !"' d )d"$"*n 6!&n%, "n!&n%, %-!+&%, &'/+nd"d%d. !%)%' d "%  6%$!"!+d d(%d%. Err/r ./r -93/d/ de s7e2i5n del ins3r7-en3/ L% )%'& %&! d- &&'& ( d % d6"*n d- &%', n' d- (''&! %&% )"n")"%&-' ( d $'-'$%& (")& - 8 d )d"$"*n -' )( '("- %- 8 d- (''&!. Err/r ./r ./si2i5n E(! &&'& -' &'3'$% $'-'&%$"*n "n$'&&$!% d ( $%&%( d )d"$"*n d -'( "n(!&+)n!'(, $'n &($!' d ( "%( '& )d"&. Err/r ./r des1as3e L'( "n(!&+)n!'( d )d"$"*n $')' ('n $+%-+"& '!&' '8!"3', ('n (+($!"-( d d(g%(!, n%!+&%- ' &'3'$%d' Ing. Lita

!

Informe Previo 2 Laboratorio de Mediciones Electrónicas '& - )%- +('. En $%(' $'n$&!' d -'( "n(!&+)n!'( d )d"$"*n - d(g%(! +d &'3'$%& +n% (&" d &&'&( d+&%n! (+ +!"-"%$"*n, d/'&)%$"'n( d (+( %&!(, 8+g' n!& (+( n(%)-( /%-!% d %&%--"()' ' -n"!+d n!& (+( $%&%( d )d"$"*n. Err/r ./r 2/ndi2i/nes a-4ien3ales En!& -%( $%+(%( d &&'&( ( n$+n!&%n -%( $'nd"$"'n( %)"n!%-( n + ( %$ )d"$"*n n!& -%( &"n$"%-( d(!%$%n !)&%!+&%, +)d%d, - '-3'  ( 3"&%$"'n( ' "n!&/&n$"%( &+"d' -$!&')%gn?!"$%( 6!&%%. "umedad# d"d' % -'( *6"d'( + ( +dn /'&)%& '& +)d%d 6$("3% n ( $%&%( d )d"$"*n d- "n(!&+)n!' ' n '!&%( %&!( ' % -%( 6%n("'n( '& %('&$"*n d +)d%d n %-g+n'( )%!&"%-(, (!%-$ $')' n'&)% +n% +)d%d &-%!"3%. Polvo# -'( &&'&( d"d'( % '-3' ' )+g& ( '(&3%n $'n )%'& /&$+n$"% d -' (&%d', %-g+n%( 3$( %-$%n%n '&dn d  )"$&*)!&'(. %&% '!n& )d"d%( 6%$!%( ( &$')"nd% +(%& #-!&'( %&% - %"& + -")"!n $%n!"d%d  !%)%' d ( %&!$+-%( d '-3' %)"n!%-.

$em%eratura# n )%'& ' )n'& g&%d', !'d'( -'( )%!&"%-( + ( $')'nn !%n!%( "%( '& )d"& $')' -'( "n(!&+)n!'( d )d"$"*n, (!n (+8!'( % 3%&"%$"'n( -'ng"!+d"n%-( d"d' % $%)"'( d !)&%!+&%. Err/r de .aralae C+%nd' +n% ($%-%  (+ -n% nd"$ n' ( n$+n!&%n n )"()' -%n', ( '("- $')!& +n &&'& d -$!+&% d"d' %- %&%-%8, $')' ( )'(!&%d' %%8'. L%( d"&$$"'n( d 3"("*n %  $ &'d+$"&n (! &&'&, )"n!&%( + -% -$!+&% $'&&$!% ( -% 3"(!% d(d -% d"&$$"*n .

E(! &&'& '$+&& d"d' % '("$"*n "n$'&&$!% d- '&%d'& $'n &($!' % ($%-% g&%d+%d% d- "n(!&+)n!' d )d"$"*n, $+%- (! n +n -%n' d"/&n!, ( )( $')5n d -' + ( $&. E- &&'& d %&%8 ( )( $')5n d -' + ( $&, n +n% )+(!&% d =0 &('n%( + +(%n $%-"&%d'&( $'n 3&n"& d"(&("*n /+ d 0.04 )). E(! d/$!' (

Ing. Lita

1"

Informe Previo 2 Laboratorio de Mediciones Electrónicas $'&&"g )"&%nd' &nd"$+-%&)n! - -%n' d )d"$"*n % %&!"& d- +n!' d -$!+&%.

?& De3er-ine las 07en3es de err/r <7e in>7+en en la varia2i5n de las -edidas de l/s ins3r7-en3/s&

A $'n!"n+%$"*n ( d($&"n -%( /+n!( )( $')+n( d &&'&( d "n(!&+)n!'(, -'( $+%-( ( n$+n!&%n dn!&' d -'( &&'&( ("(!)!"$'(: -

-

-

E&&'&( d /%&"$%$"*n: E(!'( &&'&( ('n -'( + &(+-!%n d- &'$(' d /%&"$%$"*n d- "n(!&+)n!'  d -'( $')'nn!( +!"-"%d'(. E&&'&( d $&': S '&"g"n%n %- '("$"'n%& "n$'&&$!%)n! - $&' d- "n(!&+)n!'. E&&'&( d $%-"&%$"*n: Kn% "n$'&&$!% $%-"&%$"*n d% '& &(+-!%d' + - "n(!&+)n!' !ng% +n% -$!+&% )( %-!% ' )( %8% n !'d% -% ($%-%. E&&'&( d %&'6")%$"*n: E(!'( ( '&"g"n%n %- &%-"%& "*!("( n $+%n!' % &-%$"'n( n!& $%n!"d%d(. E&&'&( d "n(&$"*n ' $%&g%: E(!'( ('n &&'&( + ( &'d+$n n -% "n(&$"*n d- "n(!&+)n!' n -% '("$"*n d )d"d% d +n% $%n!"d%d  + %/$!%n (+ 3%-'&.

@& De*na l/s si17ien3es 2/n2e.3/s es3ads3i2/s!

Ing. Lita

11

Informe Previo 2 Laboratorio de Mediciones Electrónicas a& Media

L% )d"% ( - &')d"' d !'d'( -'( n5)&'(. E( /$"- d $%-$+-%&: ( (+)%n !'d'( -'( n5)&'(, -+g' ( d"3"d &(+-!%d' '& $+%n!'( n5)&'( %.

4& Desvia2i5n de la -edia

L% d(3"%$"*n )d"% ( -% )d"% %&"!)?!"$% d -'( 3%-'&( %('-+!'( d -%( d(3"%$"'n( &($!' % -% )d"%.

2& Varian=a L% 3%&"%n% ( +n% $%n!"d%d $'n3n"n! n )+$'( $*)+!'( '& $+%n!' !"n -% &'"d%d %d"!"3%. L% d(3"%$"*n (!nd%&, ("n )%&g', !"n -% 3n!%8% d !n& -%( )"()%( +n"d%d( d -% 3%&"%- %$"nd' /$"- -% $')%&%$"*n d )%gn"!+d(.

d& Desvia2i5n es3Bndar

E(!% )d"d% n'( &)"! d!&)"n%& - &')d"' %&"!)?!"$' d +$!+%$"*n d -'( d%!'( &($!' % (+ +n!' $n!&%- ' )d"%. L% d(3"%$"*n (!nd%& n'( d% $')' &(+-!%d' +n 3%-'& n+)?&"$' + &&(n!% - &')d"' d d"/&n$"% + % n!& -'( d%!'(  -% )d"%. %&% $%-$+-%& -% d(3"%$"*n (!nd%& %(!% $'n %--%& -% &%

$+%d&%d% d -% 3%&"%n%, '& -' !%n!' (+ $+%$"*n (&%:

Ing. Lita

12


& De3er-ine el .r/2edi-ien3/ <7e se si17e .ara e6.resar 7n val/r 2/n 7n 2ier3/ ran1/ de ´ in2er3id7-4re& (N X ⍙#)

n

∑ |( x i−´ x )| ∆ x =

i=1

n

= 0.0175

En este caso la medida estará dada por: N =

x´ ± ∆ x =10.14 ± 0.0175

Una forma de calcular el error en una

medida directa, es repetir numerosas veces la medida Cas/



%

:

Medida

10.14

10.1>

10.1<

;

10.1

En este caso asignamos como valor de la medición la media aritmética de estas medidas y como error la desviación típica de estos valores. n

∑ xi x´ =

i=1

n

=

10.14 + 10.12 + 10.18 + 10.13 4

=10.14

& E6.li<7e 25-/ se reali=an la s7-a + res3a de val/res <7e 3ienen 7n ran1/ de in2er3id7-4re&

Ing. Lita

13

Informe Previo 2 Laboratorio de Mediciones Electrónicas S+'ng%)'( + ( )"dn d'( d")n("'n( $'n (+( &($!"3'( &&'&(

( x ± ∆ x ) , ( y ± ∆ y )

 $'n -%( )"()%(

+n"d%d(, &' ( d(% n$'n!&%& +n !&$&% $%n!"d%d + ( - &(+-!%d' d '&%$"'n( %&"!)?!"$%( d -%( d'( &")&%( )d"$"'n( 6,. L' $+%- +d (&: ;6 ;6 '& -' !%n!' ( &'%g% %&% - &(+-!%d'  % %&!"& d -'( &&'&( %('$"%d'( % $%d% d")n("*n '&"g"n%- 6, .F"n%-)n! ( 6&(% - &(+-!%d' &($!"3' $'n +n &&'& &'%g%d'. 

±∆ z

%&% n$'n!&%& - &&'& &'%g%d' ∆ z ( )-%n d"3&(%( /*&)+-%(, dnd"nd' d -% '&%$"*n %&"!)?!"$% )-%d% n - $-$+-' d . L'( 3%-'&( d

∆ xy ∆ y

$'&&('ndn % -%

d(3"%$"*n (!nd%& &($!"3%. C%(' (+)%  &(!%: ;6 1

∆ z =[ ( ∆ x ) + ( ∆ y ) 2

]

2 2

G& De3er-ine l/s .as/s a se17ir .ara la dis2ri-ina2i5n de 2i0ras al reali=ar la s7-a, res3a, -7l3i.li2a2i5n de 2an3idades 2/n di0eren3e 1rad/ de e6a23i37d&

En la suma y la resta se conserva tanto como las cifras decimales del resultado como el sumando que menos tenga. En la figura se

Ing. Lita

14

Informe Previo 2 Laboratorio de Mediciones Electrónicas oserva un e!emplo clásico para la suma de dos cantidades con sus respectivas cifras decimales. "ara la resta es astante parecida.

III.

BIBLIOGRAFIA: •

!!:!-/'&)%$"'n.d+.%!'-%$'&+n%.(FISICAd'$+)n!# ("$%In!&%$!"3%)d"d%()d"d%(P"nd"$.!)

Ing. Lita

15

Informe Previo 2 Laboratorio de Mediciones Electrónicas •

!!(:!'d'"ngn"&"%"nd+(!&"%-.Q'&d&((.$'))!&'-'g"% n'&)%-"%$"'n>4d"/&n$"%3n!%8%(d(3n!%8%(d

•

"n(!&+)n!'(%n%-'g"$'(d"g"!%-( !!(:(.Q"2"d"%.'&gQ"2"&$"("CBn

•

In(!&+)n!%$"*n

E-$!&*n"

%$M'd&n%



T?$n"$%(

d

Md"$"*n – "--"%) D. C''& •

G+% %&% Md"$"'n( E-?$!&"$%(  &$!"$%( d L%'&%!'&"' – S!%n- '-/

Ing. Lita

•

An-"("( d Md"d%( E-?$!&"$%( – E&n(! F&%n2

•

In!&n!:

•

!!:!&)'d"n%)"$%.+(.(!$n"$%($')'n'd7.!)-

16

Previo 2 Lita

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