Experiencia N° 4: 2015 Divisor de Tensión y puente de Wheatstone Integrantes: • •
• •
Lizonde Peredo, James Machado Pereyra Rodrigo Jiménez Huwanga Huwanga Alex ashuallan!ui Manri!ue "e#in $r an
Universid ad Nacional Mayor de
I. OBJETIVOS: La%oratorio de &'sica III: (lectricidad y
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
• Poder oder d!dr d!dr "# $e%&'% $e%&'% ()e ()e $e%*#+o $e%*#+o&& d&,o%d&,o%-"e "e e% ,e()e. ,e()e.#& #& $e%&o%e&/ • S ""e*#+o& # o%e$#r )%# #r*# #" d!&or &or de $e%&' &'% re&&$e% re&&$e%# # de #r*# #r*# R3 &e #-r6 &o+e$d &o+e$do o # #r*#r e" d!&or d!&or de $e%&'%/ • E7,e E7,er r+e +e%$ %$#" #"+e +e%$ %$e e o+, o+,rro-#r o-#re+ e+o& o& ()e ()e e% )% r r)$ )$o o de ,)e% ,)e%$e $e e&$6 e&$6 o+, o+,)e )e&$ &$o o de o%e o%e7 7o% o%e& e& e% ,#r# ,#r#"e "e"o "o de do& do& d!&ore& de $e%&'%/
II. MATERIALES: P#r# e&$e e7,er+e%$o )re+o& "# $#r8e$# %&er$#-"e U%Tr#% 9 I de D!&or de $e%&'% SOA201 9 E/
III. DIVISOR DE TENSIÓN: A. U UND NDAM AMEN ENTO TO TE TEOR ORI! I!O: O: U% d!&or de $e%&'% e& )%# o%;*)r#'% ()e &e ,)ede #er #" r)$o e"<$ro ()e re,#r$e "# $e%&'% de )%# =)e%$e e%$re )%# o +6& re&&$e%#& o%e$#d#& e% &ere/ A o%$%)#'% de;%re+o& de $,o& de d!&or de $e%&'%:
I/
D!&or de $e%&'% ""-r -re e de #r*#:
E% "# $e%o"o*># de +ed'% # +e%)do e& %eero
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
*r#;# &*)e%$e e% do%de ,re&e%$# o+o o+,o%e%$e& # do& re&&$e%#& R 1 ? R2 ()e &e e%)e%$r#% o%e$#d#& e% &ere/ Co+o Co+o o-&er! o-&er!#+o #+o&& e% "o& -orde& e7$re+o& &e #,"# "# $e%&'% de #"+e%$#'% U "# )#" &e d!de e% "#& $e%& $e%&o o%e %e&& U1 ? U2/ De #)erdo o% "# "e? de "# d!&' &'% de $e%&' &'% e& !6"d# "# e7,re&'% &*)e%$e/ U 1 + U 2=U
# %$e%&d#d de orre%$e e% e" d!&or de $e%&'% de #)erdo o% "# e? de O+ $e%e+o& e" &*)e%$e !#"or:
I =
U R 1+ R 2
Y "# #>d# de $e%&'% e% "#& do& re&&$e%#& re&&$e%#& e& *)#" #: U 1= I ∙ R1
U 2= I ∙ R2
S %$rod)8er#% "o& !#"ore& #")"#do& e "# %$e%&d#d de orre%$e e% e&$#& do& o%do%e& ()e e+o& ,"#%$e#do &e o-$e%dr6 "# &*)e%$e e)#'% ,#r# #+-#& d!&o%e& de $e%&'%/ R1 U 1=U R 1+ R 2
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
# e)#'% e)#'% ()e e+o& ,"#%$e#do ,"#%$e#do &er6 &o"o !#"d# & %o &e $o+# orre%$e de" d!&or de $e%&'% e&$o e& & &e e%)e%$r# "-re de #r*#/
II/
D! !&&or de $e $e%& %&' '% % o% #r*# *#::
S "o*r6r#+o& o%e$#r )%# #r*# # %)e&$ro d!&or de $e%& $e%&' '% % e% e% "# &*) &*)e e%$ %$e e +#* +#*e% e% ()e ()e ,re& ,re&e% e%$# $#+o +o&& ,o%e+o& )% re&&$e%# R 3 ,odre+o& #%#"@#r ()e &e # &o+e$do # #r*#r e" d!&or de $e%&'%/ Co+o o-&er!#+o& # $r#!<& de "# re&&$e%# de #r*# r)"# "# orre%$e de #r*# IL ? # $r#!<& de "# re&&$e%# R 2 "# o+,o%e% o+,o%e%$e $e $r#%&!er" $r#%&!er" de orre%$e orre%$e I)/ A $r#!<& de R 1 )?e "# &)+# de de e&$#& e&$#& do& orre%$e orre%$e&/ &/ # o+,o%e% o+,o%e%$e $e $r#%&!er" de orre%$e I) *e%er# ,
E% #&o de ()e "o& d!&ore& de $e%&'% "-re& de #r*# "# $e%&'% R 2 e& ,ro,oro%#" # "# re"#'% ()e e7&$e e%$r e%$re e R2 ? "# re& re&&$ &$e% e% # # R1 ? R2/ E% e" #&o de "o& d!&ore& de $e%&'% &o+e$do& # #r*# e&$e %o e& e" #&o ,)e&$o ()e &e o-$e%e )%# #r#$er>&$# +6& o +e%o& )r!#d# ()e &e d=ere%# +6& =)er$e+e%$e de "# #r#$ #r#$er> er>&$ &$#& #& "%e#" "%e#" de" d!&o d!&orr de $e%&'% $e%&'% &% #r*# #r*# +e%$r#& +e%or &e# "# re&&$e%# de #r*# e% =)%'% de "# re&&$e%# $o$#" R 1 BR2 de e&$e "$+o e&$e e& +e%$r#& +#?or &e# "# orre%$e de #r*# e% =)%'% de "# o+,o%e%$e $r#%&!er" de orre%$e/ E&$o &e de-e # ()e e" d!&or de $e%&'% &o+e$do # #r*# &e o+,o%e de" r)$o e% &ere R 1 ? de" r)$o e% ,#r#"e"o de R 2 ? R1/ # re&&$e%# de o+,e%'% R 2 de e&$e r)$o e% ,#r#"e"o &e ,)ede #")"#r de "# +#%er#:
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
1
1
R 2
R2
¿=
+
1
=
R L
R2 + R L R2 ∙ R L
⟹ R
¿
= 2
R 2 ∙ R L R2 + R L
Por $#%$o ,#r# "# $e%&'% de #r*# U de" d!&or de $e%&'% e& !6"do: R2 ∙ R L ¿
U L=U
R2
= ¿
R1 + R2
R 2+ R L
R1 +
R2 ∙ R L R2 + R L
E" d! d!&o &orr de $e%& $e%&' '% % "-r "-re e de #r #r*# &e o-$ o-$e% e%e e #()> #()> ,er+$e%do ()e "# re&&$e%# de #r*# R &e #,ro7+e #" %;% %;%$ $o o/ E% #d# #d# )%o de e&$o e&$o&& do& do& #&o #&o& &e ,)ed ,)ede e de&,re#r "# re&&$e%# R2 e% re"#'% # R / R L → ∞ ⇒ R2 + R L ≈ R L
R &e ,)ed ,)ede e #-re! -re!# #rr ? &e o-$e -$e%e %e "# e) e)#' #'% % ?# e%o e%o%$ %$r# r#d# d# e% e" ,6rr#= ,6rr#=o o #%$e #%$ero rorr ,#r# ,#r# e" d! d!&or &or de $e%&'% de #r*#/ # $e%&'% de #r*# de" d!&or de $e%&'% &o+e$do # e""# e& ,or $#%$o &e+,re +e%or ()e e% e" #&o de ()e %o e7&$# #r*# +#r# e% !#o3/ #& orre%$ orre%$e& e& IL e I) &e ,)ede #")"#r & &e o%oe e" !#"or de U ,or +edo de "# "e? de O+ "# orre%$e $o$#" I &e o-$e%e ,or +edo de "# &)+ &)+# de e&$# &$#& do& orre%$e&/
B. "RO!EDIMIENTO: A/E7,er+e%$o: D!&or de $e%&'%
E% e" &*)e%$e e7,er+e%$o &e de-e #%#"@#r do& d!&ore& de $e%& $e%&' '% % d=e d=ere re%$ %$e& e& e% "o re"#$ e"#$!o !o # "#& "#& d! d!&o &o%e %e&& de $e%&'% o% #r*#/ Fo%$e e" r)$o e7,er+e%$#" re,re&e%$#do # o%$%)#'%:
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
R#%*o de +ed'%: Fodo de o,er#'% :
20 V DC AV
A-r# A-r# e" %&$r %&$r)+ )+e% e%$o $o !r$ !r$)# )#"" Vo"$> o"$>+e +e$r $ro o A ? &e"e &e"e o% o%e e "o& "o& #8)&$e &$e& ()e &e de$#""#% e% "# &*)e%$e $#-"#/ A-r# e" %&$r)+e%$o !r$)#" Vo"$>+e$ro G ? &e"eo%e& "o& #8)&$e& ()e &e de$#""#% e% "# $#-"# &*)e%$e: A8)&$e& de" Vo"$>+e$ro G R#%*o de +ed'%: Fodo de o,er#'%:
10 V DC AV
C#")"e ,#r# e" d!&or de $e%&'% de "# @()erd# ? "# $e%&'% de #"+ #"+e% e%$# $# '% '% d#d# d#d# de 15 V "#& "#& $e%& $e%&o o%e %e&& ,#r ,#r# #"e "e&& U 1 $e%&'% e% R13 ? U 2 $e%&'% e% R23 o% #)&e%# de #r*# e" o% o%e$o e$orr ,)e% ,)e%$e $e G1 %o e&$6 &$6 %&e %&er$ r$#d #do o3/ o& !#"or #"ore& e& de re&&$e%#& &o% R1 10 J ? R2 KK J/ A%o$e "o& !#"ore&
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
TAGA T AGA 1: UG 15 V
D!&or de $e%&'% de "# @()erd#
D!&or de $e%&'% de "# dere#
Re"#'% de d!&'% &% #r*#3
10 L : K/K L
1 : KK0
S% #r*# #")"o3 Co% #r*# +ed'%3 R /4 LJ R 4/ LJ
U1MV
U2MV
U1MV
U2MV
1K/5K
1/4
1K/5K
1/4
10/
K /5
10/
K /5
11/5
2 /
10/
K /4
12/0
2 /K
10/
K /K
I%&er$e e" o%e$or ,)e%$e G1/ E% "#& do& re&&$e%#& RK ? R4 de 4 LJ &e o-$e%e #or# )%# re&&$e%# de #r*# R de 4 LJ/ Fd# U1 ? U2 %)e!#+e%$e o% e&$# #r*# ? #%o$e "o& !#"ore& +eddo& e% "# $#-"#/ I%&er$e e" o%e$or ,)e%$e GK ,#r# or$or)$#r "# #r*# R4 ? de e&$# +#%er# red)r "# re&&$e%# de #r*# # 4 LJ/ V)e"!# # +edr "#& $e%&o%e& ,#r#"e& ? #%o$e "o& re&)"$#do& e% "# $#-"#/ No$# No$#:: & &e e+,"e +,"e# # e" o%e o%e$o $orr ,)e% )e%$e G1 G1 e" ,)%$ ,)%$o o de +ed'% FP4 &e e%)e%$r# o%e$#do dre$#+e%$e #" ,)%$o de +ed'% FP2/ Fod;()e e" +o%$#8e e7,er+e%$#" o+o &e +)e&$r# e% "# #%+#'% &*)e%$e ,#r# #%#"@#r #or# e" d!&or de $e%&'% ()e &e e%)e%$r# # "# dere#/
!#es$ionario:
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
d3 A+-o& A+-o& ,o&ee% ,o&ee% )%# )%# re"#'% re"#'% de K:1 K:1 e3 A+-o& A+-o& ,o&ee% ,o&ee% )%# )%# re"#' re"#'% % de 5:1 2/ QC QC)6 )6"" e& "# re re&, &,)e )e&$ &$# # de "o& d d! !&o &ore re&& de $e%&' $e%&'% % #% #%$e $e "# #r*# So% ,o&-"e& !#r#& re&,)e&$#&/ #3 # $e% $e%&' &'% de" o+, o+,o% o%e% e%$$e ()e ()e %o ree-e e #r #r*# #)+e%$#/ -3 # $e% $e%&' &'% de" o+, o+,o% o%e% e%$$e ()e ()e %o ree-e e #r #r*# d&+%)?e/ 3 # #>d #>d# # de $e%& $e%&' '% % de" de" o+, o+,o% o%e% e%$e $e ()e ()e ree-e e "# #r* #r*# # ,er+ ,er+#% #%e ee e %!# %!#r r##-"e "e +e% +e%$r $r#& #& ()e ()e "# de" de" o+,o%e%$e ()e %o "# re-e d&+%)?e/ d3 E% =)% =)%' '% % de "# #r #r*# %$r %$rod od) )d d# # d&+ d&+% %)? )?e e "# $e%&'% de" o+,o%e%$e ()e "# re-e ? "# re"#'% e%$re o& d!&ore& !#r#/ e3 E% =)% =)%' '% de "# #r* #r*# %$r %$rod od) )d# d# #)+e% )+e%$$# "# $e%&'% e% e" o+,o%e%$e ()e "# re-e/ # re"#'% de $e%&'% %o !#r# K/ QDe ()< +#%er +#%er# # %)?e %)?e e" !#" !#"or or de "# re&&$e% re&&$e%# # de #r*# #r*# &o-re "# $e%&'% de "d# $e%&'% de #r*#3 de" d!&or #3 E" !#"or !#"or de "# re&&$e re&&$e% %# # de #r*# #r*# %o e8ere e8ere %%*)%# %%*)%# %)e%# &o-re "# $e%&'% de "d#/ -3 F Fe% e%$r $r#& #& +e%o +e%orr &e# &e# "# re&& re&&$e $e% %# # de #r* #r*# # +e%o +e%orr &er6 "# $e%&'% de "d#/ 3 F Fe% e%$r $r#& #& +e%o +e%orr &e# &e# "# re&& re&&$e $e% %# # de #r* #r*# # +#?o +#?orr &er6 "# $e%&'% de "d#/ 4/ Co+,#re "o& re&) &)""$#do& de" d!&o &orr de $e%& &' ' % de " # @()erd# o% "o& de "# dere#/ Q)< o-&er!# #3 E% )#% )#%$o $o # "# #r*# #r*# "# !#r# !#r# '% '% de "# $e%& $e%&' '% % de "d# de" d!&or de "# @()erd# e& +#?or ()e "# de" de "# dere#/ -3 E% re"#'% re"#'% o% "# #r*# #r*# %o e7&$e e7&$e %%*)%# %%*)%# d=ere%# d=ere%# d*%# de +e%'% e% "# re&,)e&$# de #+-o& d!&ore&/ 3 #& re&&$e% re&&$e%#& #& de #r*# #r*# e% e" orde% orde% de +#*%$)d +#*%$)d de de
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
A/UNDAFENTO TEORICO: o& r)$o& ,)e%$e ,er+$e% de$er+ de$er+%# %#r r ,or e8e+," e8e+,"o o e" !#"o #"or de )%# re&& e&&$e $e% %# # #,#d#d o %d)$#%# ()e "o o+,o%e% & &e o%oe e" !#"or de "o& re&$#%$e& o+, o+,o% o%e% e%$e $e&& ? &e d&, d&,o% o%e e de )% %&$r)+ %&$r)+e%$ e%$o o de$e$ de$e$or or de ero e&$o e& de )%o ()e ,er+$e de$e$#r e" e()"-ro e"<$ro e%$re &)& -or%e& ,or e8e+,"o e(),o$e%#"d#d e% e" #&o de )% !o"$>+e$ro o #)&e%# de r)"#'% de orre%$e e% e" #&o de )% #+,er>+e$ro3/ o& ,)e%$e& +6& e"#-or#do& ,er ,er+$e +$e% % de$er e$er+ +%# %#rr %d) %d)$ $#% #% #& #& +)$) )$)#& e %" %") )&o "# =re)e%# de "# =)e%$e de #"+e%$#'%/ E" +6& &e%""o e& e" de We#$&$o%e/ E" r)$o ,)e%$e &e o+,o%e de "# o%e7'% e% ,#r#"e"o de do& d!&ore& de $e%&'% de #)erdo o% "# &*)e%$e +#*e%/ S e" d! d!&o &orr de $e%& $e%&' '% % &), &),ero eror r o o+,)e +,)e&$ &$o o ,or ,or "#& "#& re&&$e%#& R1 ? R23 d!dd# "# $e%&'% de #"+e%$#'% e% "# +&+# re"#'% ()e e" d!&or de $e%&'% %=eror o+,)e&$o ,or "#& re&&$e%#& R K ? R43 e%$o%e& e%$re "o& ,)%$o& C ? D %o e7&$e %%*)%# $e%&'% U D03/ E% e&$e #&o &e #;r+# ()e "o& "o& ,)e% ,)e%$e $e&& +#%$ #%$e% e%e% )%# )%# o%d o%d ' '% % de e() e()""-r ro o/ # o%d'% de e()"-ro e& "# &*)e%$e: R 1 R
=
R3 R
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
We# We#$& $&$o $o%e %e !<# !<#&e &e "# &*) &*)e e%$ %$e e +#* +#*e% e%3/ 3/ A()> ()> R X e& "# re&&$e%# )?o !#"or &e de-e de$er+%#r ? R N )%# re&&$e%# "# +#?or># de "#& !ee& #8)&$# &$#-"e3 de o+,#r#'% re&&$e%# %or+#"3/ E" ,)e%$e &e %$rod)e ,#r# "# +ed'% e% e&$#do de e()"-ro U D03 ? R X &e de$er+%# # ,#r$r de "# &*)e%$e re"#'%:
R X = R N
G/
R3 R4
PROCEDIFIENTO:
E7,er+e%$o: Cr)$o ,)e%$e
E% e" &*) &*)e% e%$e $e e7,er 7,er+e +e%$ %$o o &e de-e de-e #%#" #%#"@ @#r #r )% r r) )$o $o ,)e%$e/ P#r# e""o &e o+-%#r#% "o& do& d!&ore& de $e%&'% ?# #%#"@#do& e% )% e7,er+e%$o #%$eror/ #%$eror/
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
Fodo de o,er#'%:
AV
A8)&$e& de" !o"$>+e$ro A R#%*o de 20 V DC +ed'%: Fodo de AV o,er#'%: Co+,#re e" r)$o +o%$#do o% e" r)$o ,)e%$e ()e &e re,re&e%$# # o%$%)#'% ? ()e ?# =)er# ,re&e%$#do e% "# ,6*%# #%$eror de" )r&o/ Q)< re&&$e%#& de "# $#r8e$# de e7,er+e%$#'% orre&,o%de% # "o& !#"ore& #%o$#do& e% e" d#*r#+# de r)$o A%o$e &)& re&,)e&$#& e% "# $#-"# 1/ De-e #er "#& !ee& de re&&$e%# de #r*# ,#r# e""o %&er$e e" o%e$or ,)e%$e GK !<#&e e" #%$eror +o%$#8e e7,er+e%$#"3/ I%&er$#%do o re$r#%do "o& o%e,$o& ,)e%$e G1 ? G2 &e ,)ede #," #,"# #rr "# #r #r*# *# #"$e #"$err%#$ %#$!# !# Q)< Q)< $e%& $e%&' '% % U D de" de" ,)e% ,)e%$e $e de-er># e&,er#r&e e%$re "o& ,)%$o& de +ed'% FP2 ? FP & &e $o+# e% )e%$# e" eo de ()e #+-o& d!&ore& de $e%&'% ,re&e%$#% "# +&+# re"#'% de d!&'% Co%e$e e" !o"$>+e$ro G e%$re e&$o& do& ,)%$o& de +ed'%/ E% e" #&o de ()e &e# %eero !#r< e" r#%*o de +ed'% ? +d# "# $e%&'% de" ,)e%$e/
R d#*r#+# de r)$o3
R $#r8e$#3
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
A%o$e &)& re&)"$#do& e% "#& &*)e%$e& #&""#&/ Te%&'% Te%&'% ()e de-er># e&$#r e%$re FP2 ? +, U e&,er#d# 0 V Te%&'% Te%&'% +edd# e%$re FP2 ? FP U +edd# 0 V Aor Aor# # &e de-e de-e e7#+ 7#+%# %#rr "# re&,)e e&,)e&$ &$# # de" de" r r) )$o $o ,)e% ,)e%$e $e &o+ &o+e$do do # #r*#/ # re&& &&$e%# RK de "# $#r8e$# de e7,er+e%$#'% %)e!#+e%$e e% e" d!&or de $e%&'% de "# @() @()e errd# ?Mo ?Mo e% e" de "# der dere# e#// F Fd# d# #d# #d# $e%& $e%&' '% % UG ,re&e%$e e%$re FP1 ? FPK ,#r# "#& o+-%#o%e& %d#d#& #" *)#" ()e "#& $e%&o%e& ,#r#"e& U 1 ? U2/
V. !OM"ROBA!ION ANALO%I!A DEL &"UENTE DE '(EATSTONE):
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
E% e" $,o de ,)e%$e ()e &e )$"@# e% e&$# e7,ere%# ,)e%$e )%=#+"#r3 #& re&&$e%#& R2 ? R4 &o% &)&$$)d#& ,or )% #"#+-re o+o o+o*< *<%e %eo o "> ">%d %dr ro o de &e &e'% '% ,er= ,er=e e$# $#+e +e%$ %$e e o%& o%&$# $#%$ %$e/ e/ U% )r&or ()e de&,"#@# &o-re e" ,)e%$e #e "#& !ee& de" ,)%$o D/ A" err#r e" r)$o o% "# ""#!e S &e or*%# )%# orre%$e I ()e #" ""e*#r #" ,)%$o A &e -=)r# e% do&: )%# ,#r$e ,# ,or "# re&&$e%# R1 orre%$e I13 ? e" re&$o # $r#!<& de "# re&&$e%# R2 orre%$e I23/ E%$o%e& &e $e%e: 1 2 I = I + I
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
C#8# de
)e%$e VCD/ 15
Co%e7o%e&
T#-"ero T #-"ero de de
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
R1 ? RK ? "# r#+# =or+#d# ,or "#& re&&$e%#& R2 ? R4/ Se o%&*)e e" e()"-ro de" ,)e%$e d#%do )% !#"or ;8o # R1 ? de&,"#@#%do e" )r&or D #&$# ()e e" *#"!#%'+e$ro +#r()e 0 e& der orre%$e %)"#/ E%$o%e& "# e)#'% $o+# "# =or+#:
# re&& e&&$e $e% %# # de )% o% o%d)$ d)$or or o+o* o+o*<% <%eo eo e% =)% =)%' '% # &) re&&$!d#d / e&$6 d#d# ,or "# re"#'%:
S ree+,"#@#+o& K3 e% 23 o-$e%e+o&:
Co% e&$e re&)"$#do ,ode+o& de$er+%#r =6"+e%$e e" !#"or de "#
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
S $e%e+o& "# &*)e%$e *r#;# e%$o%e& ,#r# roZ/
Por "# ,r+er# "e? : E% e" ,)%$o A
I I1 B I2 Pero Pero ,or e&$#r e% &ere:
IK I1 ?
I2 I4
Por "# &e*)%d# "e? "# #%$d#d de ,o$e%# ,o$e%# e& ero
H#""#+o& e% &e%$do or#ro "o& r)$o&:
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
)ed#: R 1
=
R 3
R 2 R4
Co+o &e $r#$# $r#$# de )% +&+o +&+o o%d)$o o%d)$orr "# re&&$!d# re&&$!d#d d? e" 6re# $r#%&!er" e& "o +&+o ()e: R3= R X =
( ) R 4 R2
∙ R1
^^^^ K3
# re&&$e%# de )% o%d)$or o+o*<%eo e% =)%'% de &) re&&$!d#d e&$# d#do ,or "# re"#'%: R= ρ
( ) L A
^^^^
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
K/ QC QC'+ '+o o r ree ee () ()e e ,o ,odr dr># ># e! e!$ $#r #r e& e&$# $#&& =) =)e% e%$e $e&& de error E&$#r #$e%$o& #" #er "#& o%e o%e7 7o% o%e& e& ? !er !er; ;#r #r"o "o&&
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
A" e&$# e&$#rr e&$o e&$o&& ,#re ,#re&& de re& re&&$e &$e% %# #&& e% ,#r# ,#r#"e "e"o "o &)& &)& #>d# #>d#&& de $e%& e%&' '% &o% &o% *) *)#"e& #"e& ,or ,or $#%$ $#%$o o o+o o+o "# %$e%& %$e%&d# d#d d de" *#"!#% *#"!#%'+e '+e$r $ro o e& %)"# %)"# "# %$e%& %$e%&d# d#d d de orre%$e e% R2 e& *)#" # R 1 e%$o%e& ,or e" ,r%,o de e()"-ro e% #+-o& r#+#"e& "# #>d# de $e%&'% e& *)#" #" ,rod)$o de "#& orre%$e& ()e ,#% ,or #d# )%# de "#& re&&$e%#& e& *)#" #:
( )
( )
( )
( )
R1 I 1 = R 3 I 2
R2 I 3 = R3 I 2
A ,#r$r de e&$#& e)#o%e& &e ,)ede ?# de$er+%#r e"
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
%o+,#$-"e o% e" !#"or re#"/
/
QC)6" &er># "# +67+# re&&$e%# ()e &e ,odr># +edr o% e" ,)e%$e de We#$&$o%e # +67+# re&&$e%# ()e ()e ,)ede )ede +ed +edr&e r&e o% o% e" r r)$ )$o $,o $,o ,)e% ,)e%$e $e e& de,e%de%$e de "o& !#"ore& de "#& re&&$e%#& o-$e%d#& ,or "# d&$#%#& e% e" "o de $)%*&$e%o e" )#" &e de-e +edr e% "o%*$)d3 e&$o e&:
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
/ QPor ()< r)"# orre%$e ,or e" *#"!#%'+e$ro )#%do e" ,)e%$e %o e&$6 e% o%do%e& de e()"-ro E7,"()e de$#""#d#+e%$e/ S &e o-&er!# )% !#"or de orre%$e e% e" *#"!#%'+e$ro e%$re "o& ,)%$o& C ? D e%$o% e%$o%e& e& "#& re&&$ re&&$e% e%#& #& de "# r#+# ACG R1 ? RK3 %o &e e%)e%$r# e% "# +&+# re"#'% o ,ro,or'% ()e "# re&& e&&$e $e% %# # de "# r#+# r#+# ADG ADG R2 ? R43 e& der:
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
o+,o%e%$e& ()e "o =or+#% ,)ede &er +e%or &% ,e"*ro de &o-re #"e%$#+e%$o ? #!er>#&/ ] E&$o& %&$r)+e%$o& %o& %d#% e" +o+e%$o )#%do &e e%) e%)e% e%$r $r# # e% e() e()" "-r -ro o ? e" %&$ %&$#% #%$e $e e% ()e ()e %o r r)" )"# # orre%$e ,or e" r)$o/ #& De&!e%$#8#& &o%:
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
VIII. SU%EREN!IAS: De-e+o& de d#r%o& )e%$# ()e $#%$o "#& o%e7o%e& o+o "o& %&$r)+e%$o& =)%o%e% ,er=e$#+e%$e ,#r# #&> e!$#r =#""#& e% e" r)$o To+#r To+#r orre$#+e%$e orre$#+e%$e "# "e$)r# de" *#"!#%'+e$ro ,#r# ()e e" ,ore%$#8e de error &e# +>%+o Ver;#r "# e7#$$)d de" ,)e%$e )%;"#r de We#$&$o%e ?# ()e ,)der# e&$#r d#.#do ? d#r re&)"$#do& err'%eo&/
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EXPERIENCIA N° 4: DIVISOR DE TENSIÓN Y PUENTE DE WHEATSTONE
$$,:MMe] d)#$!#/#$ed)/e&M440015M#)"#M#r!o&Mre,o&$oroMMK0 00MK0M$+"M41d!&ore&de$e%&%/$+" $$,:MM/&,#!"#/o+MKd&M$)$ore&Md! $$,:MM /&,#!"#/o+MKd&M$)$ore&Md!&$e%&o%/$+" &$e%&o%/$+" $$,:MMd!&orde!o"$#8e/L&,#e&/o+MD!&orBdeB!o"$#8e $$,:MM/eoe%e&,#%o"/o+Mo%&$r)r]d!&or]!o"$#8e] o+oK001M