261205408 Atps Eletronica Revisado

8/18/2019 261205408 Atps Eletronica Revisado

1/20

Centro Universitário Anhanguera de Campo Grande – Unidade II

Engenharia Mecânica 8ºB

DAIE! B"I#$ DE MACIE! "A%&&'(88)(*'

MA#+EU, DA ,I!-A .E"EI"A "A% ('/*)((&0'

A!E1AD"E A!MEIDA "A% &&'(88)0*'

E-E"#I GU##E"E, "A% &02('3&/)2

ATPS ELETRÔNICA E INSTRUMENTAÇÃO

CAMPO GRANDE/MS

NOVEMBRO DE 2015


2/20

2

SUMÁRIO

Etapa 1 – Passo 1 – Ferramentas de estudo dos Erros.................................3

. Medidas Diretas

. Medidas Indiretas

Etapa 1 – Passo 2 – Método de Keine e M!"into!#.....................................$

Etapa 1 – Passo 3 – Erro em Instrumentos %na&'i!os................................(

. Erro de Paraa)e

. Erro de Interpoa*+o

. Erro em Instrumentos Di'itais

Etapa 1 – Passo $ – item 2 – E)perimento Mutimetros.................................,

. De-ini*+o de Resistores

. O/eti0os

. Reat&rio

Re-eren!ias iio'r-i!as.............................................................................1


3/20

3

Etapa 1 – Passo 1 – Ferramentas de estudo dos Erros

As ferrae!"as #$e es"$%a &s err&s '&%e ser %()(%(%&s e %$as fa*+(as,

Medidas Diretas4o Me%(%as "&a%as -& $ "('& es'e-(f(-& %e (!s"r$e!"&.

ee'+& 'a#$*e"r&. (-r&e"r&. e"-

Medidas indiretas4o O )a+&r %a e%(%a %e"er(!a%& a 'ar"(r %e $a e%(3& %(re"a

%e &$"ra 4ra!%ea. ee'+& e!sa(& %e fra"$ra

Me%(%as %(re"as s3& $("& $sa%as e +a6&ra"7r(&s %e e"r&+&4(a e

-&!"r&+e %(e!s(&!a+. e es"a +(4a%a %(re"ae!"e a& -&!"r&+e es"a"*s"(-& %&

'r&%$"& &$ 'r&-ess&

Me%(%a I!%(re"a '&%e &6"er a"ra)s %e $a "re!a. $ -r&!8e"r& e $a

6a+a!a. '&ss*)e+ rea+(ar %()ersas e%(9es Iss& &-&rre '&r#$e as

4ra!%eas f*s(-as es"3& re+a-(&!a%as $as :s &$"ras e '&%e&s (!fer(r $a a

'ar"(r %as e%(%as %e &$"ras


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4

Etapa 1 – Passo 2 – Método de Keine e M!"into!#

M"&%& %e ;+e(!e e M-C+(!"&-


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5

N&s (!s"r$e!"&s a!a+74(-&s a '&!"e(r&. & err& 4era+e!"e f&r!e-(%&

e "er&s %e f$!%& %e es-a+a S. &$ sea. & )a+&r %e -&rre!"e #$e &r(4(!a a

%ef+e3& "&"a+ %& '&!"e(r& +e)a!%&@& a" & f( %a es-a+a %e e%(3&

Erro de Paraa)e

O-&rre e (!s"r$e!"&s a!a+74(-&s e res$+"a!"e %e $ '&s(-(&!ae!"&

(!-&rre"& %& &6ser)a%&r e re+a3& a& (!s"r$e!"& Ta6 -&!?e-(%& -&&

err& %e fa+sa +e("$ra

Erro de Interpoa*+o

A+ %a '&ss(6(+(%a%e %& err& %e 'ara+ae. &s (!s"r$e!"&s a!a+74(-&s

'er("e a &-&rrF!-(a %& err& %e (!"er'&+a3& Esse err& &r(4(!a@se e f$!3&

%& '&s(-(&!ae!"& %& '&!"e(r& e re+a3& : es-a+a %e e%(%a %& (!s"r$e!"&

Erro em Instrumentos Di'itais

I!%(-a%&res %(4("a(s &s"ra $ +e("$ra !$r(-a & #$e e+((!a & err& %&

&'era%&r e "er&s e 'ara+ae e (!"er'&+a3&. a res&+$3& %esses

(!s"r$e!"&s $%a!a %e "e!s3& #$e fa )ar(ar & 6(" e!&s s(4!(f(-a"()& !&

%(s'+a %& e%(%&r. !3& se '&%e -&!f$!%(r res&+$3& -& err& %e e%(%a. $

(!s"r$e!"& '&%e ser se!s*)e+ a 0.01V

Etapa 1 – Passo $ – item 2 – E5PERIME67O MU87IME7ROS


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6

De-ini*+o de Resistores

P&%e@se %ef(!(r $ res(s"&r -&& $ -&'&!e!"e #$e "ra!sf&ra

e!er4(a e+"r(-a e e!er4(a "r(-a '&r efe("& H&$+e. $("& $"(+(a%a e

-&'&!e!"es e+e"r8!(-&s. -$a f(!a+(%a%e %e +(("ar a -&rre!"e e+"r(-a e $-(r-$("&

A res(s"F!-(a e+"r(-a &$ ('e%!-(a. !a%a a(s . %& #$e es"a +(("a3&

%a -&rre!"e e $ %e"er(!a%& -(r-$("& O res(s"&r -a$sa $a #$e%a %e

"e!s3& e a+4$as 'ar"es %& -(r-$("&. as !$!-a -a$sar3& #$e%a %a -&rre!"e.

a'esar %& res(s"&r -a$sar a +(("a3& %a -&rre!"e

1. O/eti0os do 7este

Me%(r )a+&res %e res(s"F!-(as %e res(s"&res

Es"(ar err&s %e a'are+?&s a!a+74(-&s e %(4("a(s

2. Reat&rio das medi*9es

Os a'are+?&s %e e%(%a '&%e %()(%(r@se. #$a!"& : f&ra %ea'rese!"a3& %& res$+"a%& %a e%(3&. e a'are+?&s a!a+74(-&s e a'are+?&s

%(4("a(s N$ a'are+?& a!a+74(-& a (!%(-a3& %a%a $a f$!3& -&!"*!$a %a

4ra!%ea e%(%a. -&& !$a r4$a &$ !$ "er8e"r& %e er-Jr(& N$

a'are+?& %(4("a+. a (!%(-a3& f&r!e-(%a s&6 a f&ra !$r(-a e )ar(a '&r

sa+"&s %(s-re"&s. -&& !$ -r&!8e"r& %(4("a+ &$ !$a 6a+a!a e+e"r8!(-&

Os res(s"&res s3& -&'&!e!"es #$e "F '&r f(!a+(%a%e &fere-er $a

&'&s(3& : 'assa4e %e -&rre!"e e+"r(-a. a"ra)s %e se$ a"er(a+ A essa

&'&s(3& %a&s & !&e %e res(s"F!-(a e+"r(-a. #$e '&ss$( -&& $!(%a%e &?

Ca$sa $a #$e%a %e "e!s3& e a+4$a 'ar"e %e $ -(r-$("& e+"r(-&. '&r

aa(s -a$sa #$e%as %e -&rre!"e e+"r(-a Iss& s(4!(f(-a #$e a -&rre!"e

e+"r(-a #$e e!"ra e $ "er(!a+ %& res(s"&r ser= ea"ae!"e a esa #$e

sa( 'e+& &$"r& "er(!a+. '&r ?= $a #$e%a %e "e!s3& U"(+(a!%&@se %(ss&.

'&ss*)e+ $sar &s res(s"&res 'ara -&!"r&+ar a -&rre!"e e+"r(-a s&6re &s

-&'&!e!"es %esea%&s


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N& !&ss& e'er(e!"& f&( fe("& as e%(9es %&s res(s"&res (!%()(%$a(s.

ser(e. e 'ara+e+& Na a"()(%a%e e'er(e!"a+ f&( $sa%& 1 $+"*e"r&. > res(s"&res

%e )a+&res !&(!a(s %(fere!"es. f(&s %e +(4a3&. e 'r&"&6&ar% E f&( e+a6&ra%a

$a "a6e+a -& )a+&res %as -&res %&s es&s

&!"e, ?""',//!er%e+e"r(-&6+&4s'&"-&6r

&( 'es#$(sa%& & err& %& a'are+?& a"ra)s %e se$ a!$a+ !a es-a+a

$"(+(a%a &6"()e&s a se4$(!"e (!f&ra3&. se4$e "a6e+a -& fa(a %e err& !a

es-a+a %e res(s"F!-(as

Pr&-e%(e!"&

"ir!uito


8/20

8

C& & M$+"*e"r& !a es-a+a e &?*e"r& e 2;K f&( fe("& as 'r(e(ras

+e("$ras %&s res(s"&res (!%()(%$a(s. a"ra)s %& -7%(4& %e -&res f&( fe("& a +e("$ra e

a!&"a%& a res(s"()(%a%e e &6"()e&s &s se4$(!"es )a+&res

Ee'+& %e $ res(s"&r -& as -&res 'ara a +e("$ra !&(!a+ %& res(s"&r

Pro!edimento 8aorat&rio

A se4$(r. ser= %e&!s"ra%a 'ass& a 'ass& e 5 e"a'as & 'r&-e%(e!"&

%& +a6&ra"7r(& #$e fa+ar= s&6re ass&-(a3& %e res(s"&res

Materia 6e!essrio

res(s"&res %e )a+&res %(fere!"es

1 'r&"&6&ar% 1 $+"*e"r&


9/20

9

Ca+-$+a%&ra Ca!e"a Ca%er!& 'ara a!&"a9es Ta6e+a %e -&res %& res(s"&r e'+(-a%a 'e+& 'r&fess&r

8eitura do R1

"a!uo peas !ores do resistor.

marrom preto marrom DOUR%DO

1 : 1 (;

1: 10

1::< =(;

8eitura instrumento mut>metro4 2K

2K :?:@K ) 1::: @<

Va+&r

0.0;K Q K

Err& K 1 Q 0.

D*4("&s 1

Err& Q√ (2438)5+ (/) 5

Err& Q 1.K

E!"3&. & a'are+?& +e$ K -& $ err& %e /@ 1.K. e & fa6r(-a!"e %& res(s"&r

'e+a s&a"7r(a %e -&res %e$ 100K. e $ err& %e /@ 5 Iss& #$er %(er #$e

1.Q .K $a %(fere!a %e +e("$ra %e 0.02K

8eitura do R2

amareo 0ioeta preto dourado

$ A : (;


10/20

10

$A10

0

$A< =(;

8eitura instrumento mut>metro4 2K

2K :?:$(K ) 1::: $(<

Err& 5K 1 Q 0.5

D(4("& 1

ERRO ¿√ (0,45) ²+(1 ) ²

Err& Q /@ 1.5

E!"3&. & a'are+?& +e$ 0.05;K -& $ err& %e /@ 1.5K. e & fa6r(-a!"e %&

res(s"&r 'e+a s&a"7r(a %e -&res %e$ K. e $ err& %e /@ 5 Iss& #$er %(er

#$e 5 1.Q .K $a %(fere!a %e +e("$ra %e 0.5>K

8eitura do R3

Es!aa do mut>metro esta0a em 2M


11/20

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Err& 2000K 1 Q 20K

D(4("& 1

Err& Q √ (9920 ) ²+(1 ) W

Err&±330/6

E!"3&. & a'are+?& +e$ 0.2MK. &$ sea. 2000K -& $ err& %e /@ 21K.

e & fa6r(-a!"e %& res(s"&r 'e+a s&a"7r(a %e -&res %e$

/2)Ω

. e $ err& %e /@

5 Iss& #$er %(er #$e330222+ 330/=/722/730/6

$a %(fere!a %e +e("$ra %e

121K

"ir!uito 1 Serie R7C R1 R2

O $+"*e"r& es"a)a !a es-a+a %e 2;K. &ra -&+e"a%&s %&(s res(s"&res e

a"ra)s %& -7%(4& %e -&res f&( fe("& a +e("$ra e a!&"a%& a res(s"()(%a%e

R1 Q Marr& 're"&. arr&. %&$ra%&

R2 Q Aare+&. )(&+e"a. 're"&. %&$ra%&

"a!uo peas !ores dos resistores.

RESIS7ORΩ F%RI"%67E MU87ME7RO

ES"%8% 2#

F%7OR B%8OR

R2C $A

R1C 1::R7C 1$A

Ω

:?1$$KΩ ) 1:::

R7C 1$$Ω

N ∗/2 M ∗T

/2∗/2/=/226±*


12/20

12

&'∗/22=&'6=±*

R"Q R1R2

Rt =/22+ &'=/&'6±*

Err& 1 1 Q 1.

D(4("& 1

Err& Q±04&&Ω

Err& Q√ (/4&&)

0+ (/)0

E!"3&. & a'are+?& +e$ 0.1 ;K. &$ sea. 1K -& $ err& %e /@ 2.K e &

fa6r(-a!"e %& res(s"&r 'e+a s&a"7r(a %e -&res %e$ 1K. e $ err& %e /@ 5

Iss& #$er %(er #$e 1 2. Q 1.K $a %(fere!a %e +e("$ra %e 0.5K

Se'unda eitura em serie4

O $+"*e"r& es"a)a !a es-a+a %e 2MK

Va+&r -&r

0.1MK R1 Q Marr&. 're"&. arr&. %&$ra%&

2433/∗/2)=33/2226

R> Q Marr&. 're"&. )er%e. %&$ra%&

Ca+-$+& 'e+as -&res %&s res(s"&res

RESIS7ORΩ F%RI"%67E MU87ME7RO

ES"%8% 2M < F%7OR B%8OR

R1C 1::

R3C @@1:::R7C @@11::

Ω

:?@@1MΩ ) 1:::

R7C @@1::::Ω

10∗101=100Ω±5


13/20

13

10∗105=10

6Ω±5

R"Q R1R2

R"Q 100 106

R"Q 100001X 106

K ±5

Err& 10000 1 Q 100

D(4("& 1

Err& Q √ (33/2)

0

+ (/)0

Err& Q±33//6

E!"3&. & a'are+?& +e$ 0.1MK. &$ sea. 1000K -& $ err& %e /@ 11K e

& fa6r(-a!"e %& res(s"&r 'e+a s&a"7r(a %e -&res %e$ 1000100K. e $ err& %e

/@ 5 Iss& #$er %(er #$e 1000K 11K Q 100011K $a %(fere!a %e

+e("$ra %e 11K a a(s 'e+a s&a"7r(a %e -&res

7er!eira eitura em série.

O $+"*e"r& es"a)a !a es-a+a %e 2MK

Va+&r -&r

0.0MK R2 Q Aare+&. )(&+e"a. 're"&. %&$ra%&

0,990∗106=990.000 Ω

R> Q Marr&. 're"&. )er%e. %&$ra%&


47∗100=10Ω±5

10∗105

=106

Ω±5


14/20

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R"Q R2R>

R"Q 10 106

R"Q 100001X 106

K ±5

Err& 0000 1 Q 00

D(4("& 1

Err& Q√ (3322)0+ (/)0

Err& Q±3732/6

E!"3&. & a'are+?& +e$ 0.0MK. &$ sea. 0000K -& $ err& %e /@ 01K

e & fa6r(-a!"e %& res(s"&r 'e+a s&a"7r(a %e -&res %e$ 100010K. e $ err& %e

/@ 5 Iss& #$er %(er #$e 0000K 01K Q 01K $a %(fere!a %e

+e("$ra %e 10K 'ara a"(!4(r a s&a"7r(a %a es-a+a %e -&res

"ir!uito 1" Paraeo. RSC1

R2

1

R3

O $+"*e"r& es"a)a !a es-a+a 2;K. &ra -&+e"a%&s %&(s res(s"&res e a"ra)s

%& -7%(4& %e -&res f&( fe("& a +e("$ra e a!&"a%& a res(s"()(%a%e

Pr(e(ra +e("$ra,

Va+&r -&r

0.05;K R2 Q Aare+&. )(&+e"a. 're"&. %&$ra%&

242&*∗/222=&*6

R> Q Marr&. 're"&. )er%e. %&$ra%&

Ca+-$+& 'e+as -&res %&s res(s"&res

47∗100=47Ω±5


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15

10∗105=10

6Ω±5

R"Q R1R2

R"Q 106

R"Q 100000X 106

K ±5

Y$a!%& ass&-(a&s res(s"F!-(as e 'ara+e+&. & res$+"a%& !3& ser= a s&a

"&"a+. as s( a s&a a"ra)s %a se4$(!"e f7r$+a,

RT = R

1∗ R

2

R1+ R2

RT =47∗10

6

47+106

RT =47000000

1.000 .047

RT =46,9977911

Ω±5

Err& 5 1 Q 0.5

D(4("& 1

Err& Q√ (27&*)0+ (/)0

Err& C

±/4&*Ω

E!"3&. & a'are+?& +e$ 0.05;K. &$ sea. 5K -& $ err& %e /@ 1.5K e &

fa6r(-a!"e %& res(s"&r 'e+a s&a"7r(a %e -&res %e$ .11K. e $ err& %e

/@ 5 Iss& #$er %(er #$e 5K 1.5K Q .5K $a %(fere!a %e +e("$ra %e

0.511 K 'ara a"(!4(r a s&a"7r(a %a es-a+a %e -&res

Se'unda eitura em paraeo o mut>metro esta0a na es!aa de 2K.

Va+&r -&r


16/20

16

0.0; R1 Q Marr&. 're"&. arr&. %&$ra%&

24233∗/222=336

R> Q Marr&. 're"&. )er%e. %&$ra%&


N ∗/2 M ∗T

/2∗/2/=/226

/2∗/2*=/2)Ω

Y$a!%& ass&-(a&s res(s"F!-(as e 'ara+e+&. & res$+"a%& !3& ser= a s&a

"&"a+. as s( a s&a a"ra)s %a se4$(!"e f7r$+a,

RT = R1∗ R2

R1+ R2

RT =100∗10

6

100+106

RT =33433222/Ω±*

Err& 1 Q 0.

D(4("& 1

Err& Q√ (2733)0+ (/)0

Err& Q±/433Ω

E!"3&. & a'are+?& +e$ 0.0;K. &$ sea. K -& $ err& %e /@ 1.K e &fa6r(-a!"e %& res(s"&r 'e+a s&a"7r(a %e -&res %e$ .0001K. e $ err& %e


17/20

17

/@ 5 Iss& #$er %(er #$e K 1.K Q 100.K $a %(fere!a %e +e("$ra %e

0. K a a(s 'e+a s&a"7r(a %e -&res

7er!eira eitura em paraeo o mut>metro esta0a na es!aa de 2K1;K R1 Q Marr&. 're"&. arr&. %&$ra%&

242(/∗/222=(/6

R2 Q Aare+&. )(&+e"a. 're"&. %&$ra%&


N ∗/2 M ∗T

/2∗/2/=/226

&'∗/22=&'6

Y$a!%& ass&-(a&s res(s"F!-(as e 'ara+e+&. & res$+"a%& !3& ser= a s&a"&"a+. as s( a s&a a"ra)s %a se4$(!"e f7r$+a,

RT = R

1∗ R

2

R1+ R2

RT =100∗47

100+47

RT =4700147

RT =(/43'0'83/0Ω±*

Err& >1 1 Q 0.>1

D(4("& 1

Err& Q√ (27(/)

0+ (/)0


18/20

18

Err& Q±/4(/Ω

E!"3&. & a'are+?& +e$ 0.>1;K. &$ sea. >1K -& $ err& %e /@ 1.>1K e &

fa6r(-a!"e %& res(s"&r 'e+a s&a"7r(a %e -&res %e$ >1.212K. e $ err& %e

/@ 5 Iss& #$er %(er #$e >1K 1.>1K Q >2.>1K $a %(fere!a %e +e("$ra %e

0.>>2 K a a(s 'e+a s&a"7r(a %e -&res

"on!us+o do E)perimento

C&!-+$*&s #$e & a'are+?& %(4("a+ #$e $sa&s &fere-e $a 're-(s3& %e

err& 1 !a es-a+a %e res(s"()(%a%e. e a"ra)s %&s -=+-$+&s &6"()e&s as

%(fere!as %e +e("$ra

N&s "rFs res(s"&res a!a+(sa%&s. &6ser)&$@se #$e &s )a+&res e%(%&s e &s

-a+-$+a%&s "()era '&$-a )ar(a3&. -&'r&)a!%& #$e &s 'r&-e%(e!"&s f&ra

efe"$a%&s %e f&ra -&rre"a e 'e+a )ar(a3& =(a e *!(a e!-&!"ra%a e!"re

&s )a+&res e%(%&s e -a+-$+a%&s es"es es"a)a se're %e!"r& %a "&+er!-(a

Z5 'ara a -&r &$r&. -&'r&)a!%& #$e "&%&s &s res(s"&res es"a)a %e!"r&

%e s$a fa(a %e "&+er!-(a (!f&ra%a 'e+& fa6r(-a!"e

Etapa 1 – Passo $ – item 3 – Es!oa do Pro/eto

N&ssa e#$('e (r= -&!s"r$(r & "e'&r(a%&r -& CI 555 se!s*)e+ a&

T$e)ers3& A.

Para rea+(ar es"e 'r&e"& )a&s 're-(sar %&s -&'&!e!"es +(s"a%&s a6a(&,

01 [ PC [ P&"e!-(8e"r& 100;

01 [ PC [ P&"e!-(8e"r& 50< s&e!"e es"e %(s'&!*)e+

01 [ PC [ Res(s"&r 1;

01 [ PC [ Res(s"&r 10;

01 [ PC [ Ca'a-("&r 100\

01 [ PC [ Ca'a-("&r 100!

01 [ PC [ CI 555

01 [ PC [ D(&%& N1

01 [ PC [ Re+

01 [ PC @ LDR

Re-eren!ias iio'r-i!as


19/20


20/20

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261205408 Atps Eletronica Revisado