INSTITUTO POLITECNICO NACIONAL ESCUELA SUPERIOR DE INGENIERIA MECANICA Y ELECTRICA UNIDAD ZACATENCO ZACATENCO
ELECTRONICA LINEAL 6CM8 PRACTICA PRACTICA 4 ANALISIS EN FRECUENCIA DE DE CIRCUITOS CIRCUITOS LINEALES Y OBTENCION DE DIAGRAMAS DE BODE PROFESOR: DELGADO FERNANDES AGUSTIN ALUMNOS: CHAVEZ MONROY CHRISTOPHER CHRIST OPHER ALEJANDRO
OBJETIVO GENERAL Obtene ! "n"#$%" e# &'()'t"($ent' en *e&+en&$" ,e &$&+$t'- )"-$.'- RC/ " t".0- ,e# +-' ,e #'- ,$"1"("- ,e B',e ! -+ &'e&t" $nte)et"&$2n3
MATERIAL S'*t5"e ,e -$(+#"&$2n ,e &$&+$t'- -e -+1$ee e# -'*t5"e TINA7 P't'b'", P$n%"- ,e )+nt" ! &'te C"b#e L'- ."#'e- ,e #"- e-$-ten&$"- ! &")"&$t'e- -e -e#e&&$'n"n ,e "&+e,' " #'- &$&+$t'- 9+e )')'n1" e# )'*e-'
TEORIA Filtros paso bajo
Un #t' )"-' b";' $,e"# ,ebe ,e;" )"-" #"- *e&+en&$"- )' ,eb";' ,e +n" *e&+en&$" ,ete($n"," < )"" #" &+"# -e =" ,$-e>",' e# #t'7? -+ &""&te@-t$&" ,e *e&+en&$" -e (+e-t" en #" 1+" 6"7 #@ne" &'nt$n+"73 S$n e(b"1'/ n' e- )'-$b#e 'btene t"# #t' &'n +n n(e' n$t' ,e e#e(ent'#$ne"#e- R/ L ' C73 L" &""&te@-t$&" e"# ,e *e&+en&$" -e@" #" ('-t"," en #" 1+" 6"7 en t"%' ,$-&'nt$n+'3 Un &$&+$t' )"-' b";' -$()#e e- e# ,e #" 1+" 6b73 S+-t$t+!en,' &"," e#e(ent' )' -+ $()e,"n&$" ! "n"#$%"n,' &'n *"-'e-e 'bt$ene +n" 1"n"n&$" ,e ten-$2n:
,'n,e RC e- #" &'n-t"nte ,e t$e()' ,e# &$&+$t' 9+e/ &'(' !" .$('-/ ," $,e" ,e# t$e()' ,e &"1" ! ,e-&"1" ,e# &'n,en-",' " t".0- ,e #" e-$-ten&$"3 L" "()#$t+,/ en ,e&$be#$'-/ ,e ,$&=" 1"n"n&$" e-:
&""&te@-t$&"- ,e "()#$t+, ! *"-e "-$nt2t$&"- ! e"#e-7 ,e# &$&+$t' &'e-)'n,en "# ,$"1"(" ,e B',e ,e #" 1+" 3 C'(' )',e('- .e/ #" "()#$t+, ,e 1"n"n&$" e- )#"n" )"" b";"- *e&+en&$"- ! &"e " "#t"- *e&+en&$"-/ &'(' e- ,e e-)e" en +n #t' )"-' b";'3 L" *"-e ."@" ,e < " < " (e,$," 9+e #"- *e&+en&$"- "+(ent"n3 La frecuencia angular de corte &7 e- "9+e##" )"" #" &+"# #" "()#$t+, ,e 1"n"n&$" e- $1+"# " / en e-te &"-' & 3 D$&=" *e&+en&$" &'e-)'n,e "# &"(b$' ,e )en,$ente en #" &+." ,e B',e "-$nt2t$&" ! )+e,e t"(b$0n ,ete($n"-e " )"t$ ,e #" &""&te@-t$&" ,e *"-e/ &'e-)'n,$en,' en e-te &"-' " +n" *"-e ,e 4Q3 Filtro pasa bajas:
E- e# )$(e #t' 9+e -e t$ene/ -+ *+n&$'n"($ent' e- " b"-e ,e +n &'n,en-",' ! e-$-ten&$"/ e-te #t' t$ene #" -$1+$ente &'n1+"&$2n: S+ *+n&$'n"($ent' e- e# -$1+$ente: E# &'n,en-",' -e &'()'t" &'(' +n" e-$-ten&$" ,e)en,$ente ,e #" *e&+en&$" )' #" e#"&$2n ,e :
E- ,e&$/ )"" *e&+en&$"- (+! b";"- e# &'n,en-",' )' #" e1#" ,e ,$.$-$2n ,e .'#t";e7 "# -e +n" e-$-ten&$" (+! "#t"/ &'n-+(e t',' e# .'#t";e/ -$ - e &'ne&t" #" -"#$," en )""#e#' "# &'n,en-",' -e ten, e# (K$(' ,e .'#t";e " #" -"#$,"3 C'n*'(e "+(ente('- #" *e&+en&$" ,e #" *+ente e# &'n,en-",' ,$-($n+!e -+ $()e,"n&$"/ &'n #' 9+e e# .'#t";e 9+e ,$-$)" ,$-($n+!e / ="-t" ten,e " &e'3 E-te t$)' ,e #t' t$ene +n" 1&" ,e e-)+e-t" en *e&+en&$":
En &+"#9+$e *e&+en&$" -e )+e,e ,ete($n" #" -"#$," ,e )' (e,$' ,e #" e1#" ,$.$-'" ,e .'#t";e:
O )"" eK)e-"#' en ("1n$t+, ! en *"-e:
Se)""n,' en ("1n$t+, ! *"-e
Ent'n&e- #" ("1n$t+, 9+e," eK)e-"," &'(':
A +n n1+#' ,e *"-e :
L" *e&+en&$" ,e &'te -e ,ene &'(' e# )+nt' ,e V'3<V$ S+-t$t+!en,' 'btene('- 9+e:
Filtros paso alto
S$ en e# &$&+$t' ,e #" 1+" 6b7 t'("('- #" -"#$," en b'ne- ,e #" e-$-ten&$"/ tene('- +n #t' )"-' "#t' &+!" &""&te@-t$&" ,e *e&+en&$" $,e"# t"%' &'nt$n+'7 ! e"# t"%' ,$-&'nt$n+'7 -e (+e-t" en #" 1+" 8"73 E# &$&+$t' en -+ *'(" e-tn," e- e# ,e #" 1+" 8b73 Me,$"nte +n "n#$-$- -$($#"/ #" 1"n"n&$" en ten-$2n .$ene ,"," )':
,'n,e ,e n+e.' RC3 L" "()#$t+, ,e #" 1"n"n&$" ! -+ *"-e -'n/ e-)e&t$."(ente:
L" &+." ,e B',e "-$nt2t$&" -e 'bt$ene "n"#$%"n,' H .;7 en #" e1$2n ! 3 Obtene('- #"- &+."- ,e #" *$1+" 3 C'()'b"('- 9+e e# &$&+$t' ,e;" )"-" #"- *e&+en&$"- "#t"-: )"" -e>"#e- ,e *e&+en&$" ("!' 9+e #" -"#$," n' -+*e "('t$1+"($ent' H;7< ,B &'e-)'n,e " +n" "()#$t+, ,e 1"n"n&$" +n$t"$"7/ ($ent"- 9+e )' ,eb";' ,e #" "()#$t+, ,e #" 1"n"n&$" ,e&"e &'n +n" )en,$ente ,e < ,B )' ,0&","3 L" *e&+en&$" e- #" frecuencia de corte *e&+en&$" )"" #" 9+e #" )'ten&$" ,e# &$&+$t' e- #" ($t", ,e #" )'ten&$" (K$("73 C'(' -e &'()+eb" " )"t$ ,e #" 1+" / en e-te &"-' #" *"-e e- 4Q3 Filtro Pasa-altas
E-te e- e# -e1+n,' ,e #'- #t'- )"-$.'/ e# n$&' &"(b$' 9+e )e-ent" e- #" &'neK$2n ,e #" -"#$,"/ #" &+"# en .e% ,e t'("-e ,e# &'n,en-",' -e t'(" ,e #" e-$-ten&$" #' &+"# n'- )'.'&" 9+e en .e% ,e ,e;" )"-" #"- *e&+en&$" b";")"-en #"- *e&+en&$"- "#t"-3 C'(' !" -e (en&$'n' e# &$&+$t' *@-$&"(ente e- $1+"# 9+e e# "nte$'/ -'#"(ente #" -"#$," -e t'(" ,e #" e-$-ten&$"3 EK)#$&"&$2n/ &+"n,' #" *e&+en&$" e- ,e("-$",' b";"/ e# .'#t";e -e &'n-+(e &"-$ en -+ t't"#$,", en e# &'n,en-",'/ e# &+"# -e &'()'t" &'(' +n" $()e,"n&$" ,e ."#' (+! "#t'/ )' #' 9+e en #" -"#$," n' -e t$ene &"-$ .'#t";e/ &+"n,' #" *e&+en&$" ")#$&"," e- "+(ent"," -e t$ene 9+e e# ."#' ,e #" $()e,"n&$" e)e-ent"," )' e# &'n,en-",' ,$-($n+!e ="-t" 9+e &"-$ n' &'n-+(e .'#t";e/ ! #" ("!'@" ,e# .'#t";e -e t$ene " #" -"#$,"3 E-t'- ,'- #t'- t$enen +n ."#' ##"(",' *e&+en&$" ,e &'te/ #" &+"# e- e# ."#' ,e #" *e&+en&$" " )"t$ ,e# &+"# -e &'n-$,e" 9+e !" e-t" #t"n,' #"- -e>"#e-3 E-t" *e&+en&$" e-t" ,ete($n"," &'(' #" *e&+en&$" en #" 9+e e# ."#' ,e #" -"#$," &'n e-)e&t' " #" ent"," t$ene +n" "ten+"&$2n ,e ,B3 ' #" -"#$," e- 3 ,e# ."#' ,e #" ent","73 De)en,$en,' ,e #'- ."#'e- e#e1$,'- ,e e-$-ten&$" ! &")"&$t"n&$" -e" e# ."#' ,e #" *e&+en&$" ,e &'te3 Pe'/ )"" +n" e-$-ten&$" ;"/ e# ."#' ,e #" *e&+en&$" ,e &'te ,e)en,e ,e# ."#' ,e e# &'n,en-",' S$1+$en,' +n )'&e,$($ent' -$($#" "# "nte$' 'btene('- 9+e )"" e# #t' )"-" "#t"-:
Filtro pasa bandas:
E-te e- +n #t' 9+e -e &'()'ne ,e +n #t' )"-" b";"- ! +n' )"-" "#t"&'ne&t",'- en &"-&","3 L'- &'()'nente- -e ,eben ,e -e#e&&$'n" )"" 9+e #" *e&+en&$" ,e &'te ,e# #t' )"-""#t"- -e" (en' 9+e #" ,e# #t' )"-"b";"-
SIMLA!ION