Eldas Unit 2
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7/21/2019 Eldas Unit 2
http://slidepdf.com/reader/full/eldas-unit-2 1/20
LAPORAN PRAKTIKUM ELEKTRONIKA
UNIT 2
PENGENALAN ALAT UKUR ELEKTRONIS
Nama : Aulia Inan Nur
No. Mhs : 13/3!!"2/TK/"123#
K$l/%ari : /&um'a( sian)
LABORATORIUM ELEKTRONIKA DASAR
JURUSAN TE-TI FAKULTAS TEKNIK
UNIVERSITAS GAJAH MADA
YOGYAKARTA2014
7/21/2019 Eldas Unit 2
http://slidepdf.com/reader/full/eldas-unit-2 2/20
I. PEN*A%ULUAN
A. Multi!t!"
Multi!t!" #$#l#% #l#t u&u" '#() $i*#&#i u(tu& !()u&u" t!)#()#( li+t"i&, #"u+
li+t"i&, $#( t#%#(#( "!+i+t#(+i. /#$# *!"&!#()#(('# ulti!t!" i+# $i)u(#&#( u(tu&
!!"#*# u()+i +!*!"ti !()u&u" t!*!"#tu", i($u&t#(+i, "!&u!(+i, $#( +!#)#i('#. A$#
u)# 3"#() '#() !('!ut ulti!t!" $!()#( +!ut#( AVO !t!", u()&i( #&+u$('# A
#*!"!, V3lt, $#( O3%.
Mul(im$($r Analo), '#itu ulti!t!" '#() *!#5##( %#+il u&u"('# !())u(#&#(
*!(u(u& #"u. Multi!t!" #(#l3) l!i% #('#& $i*#&#i u(tu& &!)u(##( +!%#"i- %#"i, +!*!"ti
*#"# tu&#() +!"i+ TV #t#u &3*ut!" &!#('#&#( !())u(#&#( !(i+ '#() #(#l3) i(i.
K!l!i%#(('# #$#l#% u$#% $#l# *!#5##(('# $!()#( t#*il#( '#() l!i% +i*l!.
S!$#()&#( &!&u"#()#(('# #$#l#% #&u"#+i('# "!($#%, #$i u(tu& *!()u&u"#( '#()
!!"lu&#( &!t!liti#( ti())i +!#i&('# !())u(#&#( ulti!t!" $i)it#l.
Multit!+t!" A(#l3)
7/21/2019 Eldas Unit 2
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Mul(im$($r *i)i(al, '#itu ulti!t!" '#() *!#5##( %#+il u&u"('# !"u*# $i)it
#()&#. Multi!t!" $i)it#l !ili&i #&u"#+i '#() ti())i, $#( &!)u(##( '#() l!i% #('#& i&#
$i#($i()&#( $!()#( ulti!t!" #(#l3). Y#itu !ili&i t##%#(-t##%#( +#tu#( '#()
l!i% t!liti, $#( u)# 3*+i *!()u&u"#( '#() l!i% #('#&, ti$#& t!"#t#+ *#$# #*!"!, 3lt, $#(
3% +##. Multi!t!" $i)it#l i#+#('# $i*#&#i *#$# *!(!liti#( #t#u &!"#-&!"# !()u&u" '#()
!!"lu&#( &!5!"#t#( ti())i, t!t#*i +!&#"#() i(i #('#& u)# !()&!l-!()&!l &3*ut!"
$#( +!"i5! 5!(t!" '#() !#&#i ulti!t!" $i)it#l. K!&u"#()#(('# #$#l#% +u+#% u(tu&
!3(it3" t!)#()#( '#() ti$#& +t#il. J#$i il# !l#&u&#( *!()u&u"#( t!)#()#( '#()
!")!"#& (#i&-tu"u(, +!#i&('# !())u(#&#( ulti!t!" #(#l3)
Fu()+i Multi!t!" 6
• M!()u&u" t!)#()#( D7
• M!()u&u" t!)#()#( A7
7/21/2019 Eldas Unit 2
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• M!()u&u" &u#t #"u+ D7
• M!()u&u" (il#i %##t#( +!u#% "!+i+t3"
• M!()!5!& %uu()-+i()&#t 8 &3(!&+i
•
M!()!5!& t"#(+i+t3"
• M!()!5!& &#*#+it3" !l!&t"3lit
• M!()!5!& $i3$#, l!$ $#( $i3$# 9!(!"
• M!()!5!& i($u&t3"
• M!()u&u" HFE t"#(+i+t3" t'*! t!"t!(tu
• M!()u&u" +u%u t'*! t!"t!(tu
B. O+il3+&3*
O+il3+&3* #$#l#% #l#t u&u" '#() $i )u(#&#( u(tu& !!t#&#( #t#u !#5# +i('#l
li+t"i& #u*u( "!&u!(+i. O+il3+&3* $i )u(#&#( $#l# *!()u&u"#( "#()&#i#( !l!&t"3(i&
+!*!"ti +t#+iu( *!#(5#" "#$i3, TV, #t#u $#l# &!)u(##( !3(it3" "!&u!(+i !l!&t"3(i&
+!*!"ti $i "u#% +#&it $#( u(tu& &!)u(##(-&!)u(##( l#i(('#. S!5#"# +!$!"%#(# 3+il3+&3*
#$#l#% #l#t u(tu& !(#*il&#( *!"u#%#( )!l3#() +i('#l $#"i +u#tu i(*ut '#() $i!"i&#(
u(tu& !#(t#u +!5#"# !"&#l# $#"i *!"u#%#( t!"+!ut
B!!"#*# u()+i 3+il3+&3* #(t#"# l#i( u(tu&6
: M!()u&u" !+#" t!)#()#( li+t"i& $#( %uu()#(('# t!"%#$#* ;#&tu.: M!()u&u" "!&u!(+i +i('#l '#() !"3+il#+i.
: M!()!5!& #l#(('# +u#tu +i('#l *#$# +!u#% "#()&#i#( li+t"i&.
: M!!$#&#( #"u+ A7 $!()#( #"u+ D7.
: M!()!t#%ui (3i+! *#$# +!u#% "#()&#i#( li+t"i&.
O+il3+&3*
7. AFG
Au$i3 F"!<u!(5' G!(!"#t3" #t#u +!"i() $i &!(#l $!()#( AFG #$#l#% +u#tu #l#t
!l!&t"3(i&# '#() $i)u(#&#( u(tu& !#()&it&#( +i)(#l $!()#( "#()! "!<u!(5' #u$i3.
7/21/2019 Eldas Unit 2
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Au$i3 F"!<u!(5' G!(!"#t3"AFG $i *#+#"#( #$# #('#& #"i#(, $#"i '#() #(#l3) +#*#i
'#()$i)it#l. B#%&#( '#() "#&it#( u)# #$#, *#$# *"i(+i*('# AFG #$#l#%"!<u!(5'
)!(!"#t3"$!()#( "#()! #u$i3.
A$#*u( &!)u(##( $#"i G!(!"#t3" F"!&u!(+i Au$i3 #$#l#%6
• S!#)#i *!#()&it )!l3#() li+t"i& +i(u+3i$#l, +!)iti)#, $#( &3t#&
• U(tu& !#%#i !(tu& $#( *3l# )!l3#() li+t"i&.
• S!#)#i #5u#( u(tu& !('!li$i&i "#()&#i#( '#() &u"#() #i& $#"i +u#tu
"#()&#i#(8+i"&uitli+t"i& #t#u !l!&t"3(i&#
• D#*#t $i)u(#&#( +!#)#i +u!" t!)#()#(8#"u+ A7 u(tu& *!"53##( "#()&#i#(
*!()u#t#(t"#(+i+t3"
D. F"!&u!(+i 73u(t!"
F"!&u!(+i 53u(t!" #$#l#% i(+t"u!( !l!&t"3(i&, #t#u &3*3(!( $#"i +#tu, '#() $i)u(#&#(
u(tu& !()u&u" "!&u!(+i. F"!&u!(+i $i$!i(i+i&#( +!#)#i ul#% *!"i+ti;# +!#5#
t!"t!(tu '#() t!"#$i $#l# #()&# ;#&tu '#() $it!t#*&#(. F"!&u!(+i 53u(t!"i#+#('#
!()u&u" ul#% 3+il#+i #t#u *ul+# *!" $!ti& $#l# +i('#l !l!&t"3(i& !"ul#(). I(+t"u!(
t!"+!ut &#$#()-&#$#() $i+!ut +!#)#i 5'3!t!", t!"ut## +#l#% +#tu $#"i #(u#&tu"
7i(#.
7/21/2019 Eldas Unit 2
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E. V/G
V#"i#l! /%#+! G!(!"#t3" #$#l#% +!u#% )!(!"#t3" '#() $i$!+#i( &%u+u+ u(tu&
!()%#+il&#(2 )!l3#() +i(u+ u(tu& $i#($i()&#( +!%uu()#( $!()#( "!&u!(+i #*litu$3
#t#u#+!('#.
7/21/2019 Eldas Unit 2
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7/21/2019 Eldas Unit 2
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II. ALAT *AN +A%AN PRAKTIKUM
1. Multi!t!" $i)it#l
2. T"#3 +t!* $3;(
=. /#*#( /S 44>
4. R!+i+t3" 110 ?, 220 ?, 4@0 ?, $#( 10K ?
>. O+il3+&3* $i)it#l
. AFG
@. F"!&u!(+i 73u(t!"
. V#"i#!l /%#+! G!(!"#t3" V/G
C. Di3$! BY >4
10. K#*#+it3" 100 F
11. K#!l *!()%uu()
III. ANALISA GAM+AR RANGKAIAN
R#()&#i#( $i#t#+ #$#l#% *!('!#"#% +!t!()#( )!l3#() #t#u %#l ;#! "!5tii!".
R#()&#i#( *!('!#"#% +!t!()#% )!l3#() !"u*#&#( "#()&#i#( *!('!#"#% +!$!"%#(# '#()
%#('# $i#()u( !())u(#&#( +#tu $i3$# +!#)#i &3*3(!( ut## $#l# !('!#"#%&#(
)!l3#() A7 $#( !()u#% +i('#l t!)#()#( A7 !(#$i t!)#()#( D7.
/#$# *!('!#"#% +!t!()#% )!l3#(), $i3$# #&#( !"l#&u +!#)#i *!()%#(t#" +!l##
*ut#"#( +!t!()#% /3+iti $#( ti$#& !"l#&u +!#)#i *!()%#(t#" *#$# +!t!()#% +i&lu+ (!)#ti,
+!%i())# $i(##&#( +!#)#i Si('#l +!t!()#%G!l3#(). H#l i(i t!"#$i &#"!(# $i3$# !"#$#
$#l# &!#$##( i#+ #u '#()%#('# !l!;#t&#( $!"!t#( *ul+# *3+iti $#( !3t3() $!"!t#(
*ul+# (!)#ti *#$# )!l3#() #+u&#(. A&i#t('# )!l3#() &!lu#"#( #&#( !(#$i
$!"!t#( *ul+# *3+iti +!t!()#% )!l3#().
/!('!#"#% Dil!()&#*i Filt!" K#*#+it3" A)#" t!)#()#( *!('!#"#%#( )!l3#() A7
l!i% "#t# $#( !(#$i t!)#()#( D7 #&# $i*#+#() ilt!" &#*#+it3" *#$# #)i#( 3ut*ut
"#()&#i#(. Fu()+i &#*#+it3" *#$# "#()&#i#( $i#t#+ u(tu& !(!&#( "i*l! '#() t!"#$i $#"i
*"3+!+ *!('!#"#%#( )!l3#() A7. S!t!l#% $i*#+#() ilt!" &#*#+it3" #&# 3ut*ut $#"i
"#()&#i#( *!('!#"#% )!l3#() *!(u% i(i #&#( !(#$i t!)#()#( D7 Di"!5t 7u""!(t.
I,. ANALISA GAM+AR RANGKAIAN
A. Al#t U&u" Mul"i!t!"
1 /!()ui#( T!)#()#( A7
7/21/2019 Eldas Unit 2
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T!)#()#( /"i!" 6 0 V3lt $!()#( 110 V3lt 110 V3lt
0 V3lt $!()#( 220 V3lt 21C V3lt
110 V3lt $!()#( 220 V3lt 110 V3lt
T!)#()#( S!&u($!"6 7t $!()#( 2> V3lt 2@ V3lt
7t $!()#( 12 V3lt 14 V3lt
7t $!()#( 20 V3lt 10 V3lt
12 V3lt $!()#( 12 V3lt 2@ V3lt
1 V3lt $!()#( 1 V3lt = V3lt
2 /!()ui#( T!)#()#( D7
T!)#()# A7 /!()ui#( T!)#()#( D7T!"tuli+ T!"#5# T!)#()#(
V#"i#!l
T!)#()#( Du#
Kutu*
T!)#()#( +#tu
Kutu*
0 $!()#(
>
0.11
V3lt
St"i*
&! 1
0
0.0=
@
V3lt
0 - 1> 1>.2
V3lt
0 - > >,1=
V3lt
0 $!()#(
10
10. 2@
V3lt
St"i*
&! =
1.4
@
V3lt
0 -1> -1>.0@
V3lt
0 $!()#(
1>
1>.>2
V3lt
St"i*
&! >
.C
V3lt
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V3lt
0 $!()#(
20
20.@
V3lt
St"i*
&! @
11.2
=
V3lt
0 $!()#(
2>
2 V3lt St"i*
&! C
11.@
=
V3lt
= /!()ui#( A"u+ A7 $#( A"u+ D7
7/21/2019 Eldas Unit 2
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• 1> V3lt A7
R !#( 100 ?
A"u+ !#( 1.@ A
R !#( 220 ?
A"u+ !#( @0. A
R !#( 4@0 ?A"u+ !#( ==.@ A
• 1> V3lt D7
R !#( 100 ?
A"u+ !#( 1>4. A
R !#( 220 ?
A"u+ !#( C.C A
R !#( 4@0 ?
A"u+ !#( =2.@ A
+. Al#t U&u" O+il3+&3*
1- /!(!"##( *#$# O+il3+&3*
/!()ui#( 1
• /!()ui#( 2
2- /!()ui#( T!)#()#( A7
7t $!()#( 2> V3lt 1C V**
7t $!()#( 20 V3lt 12.> V**
7t $!()#( 1> V3lt 1 V**
20 V3lt $!()#( 20 V3lt 2 V**
1> V3lt $!()#( 1> V3lt =1 V**
7/21/2019 Eldas Unit 2
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= /!()ui#( T!)#()#( D7
/#$# +t"i* &! = 0. V3lt
/#$# +t"i* &! > 2.> V3lt
/#$# +t"i* &! @ =. V3lt
4 /!()ui#( G!l3#() I+'#"#t
#. D!()#( G!l3#() Si(u+i3$#l = V**
. D!()#( )!l3#() S!)iti)# = V**
5. D!()#( )!l3#() K3t#& = V**
> /!()ui#( F"!&u!(+i 73u(t!"
F"!&u!(+i
AFG
@00
H9.
1>00
H9.
=000
H9.
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7/21/2019 Eldas Unit 2
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/!()ui#( B!$# F#+! G!l3#() I+'#"#t
Gambar Gelombang Gambar Beda
Fase#. Posisi geser 30○
. Posisi geser 90○
5. Posisi geser 160○
7/21/2019 Eldas Unit 2
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@ /!()ui#( /!('!#"#% S!t!()#% G!l3#()
N3. T!)#()#( I(. T!)#()#( Out*ut G##" G!l3#()
Out
S!!lu 7
$i*#+#()
S!+u$#%
7
$i*#+#()
S!!lu
7
$i*#+#()
S!+u$#% 7
$i*#+#()
1. 0 $!()#( 10 V** V**
2. 0 $!()#( 1> V** V**
=. 0 $!()#( 20 V** V**
,. ANALISA %ASIL PENGU&IAN
A. Al#t U&u" Multi!t!"
1- /!()ui#( T!)#()#( A7
/#$# t!)#()#( *"i!" $#*#t $ili%#t #%;# %#+il #(t#"# 0 3lt $!()#( 110 3lt
#$#l#% 110 3lt, #(t#"# 0 3lt $#( 220 3lt #$#l#% 21C 3lt, $#( %#+il #(t#"# 110 3lt
$#( 220 3lt #$#l#% 110 3lt. D#"i ti)# %#+il t!"+!ut $#*#t $i&!t#%ui #%;# %#+il
3lt '#() t!"u&u" &u"#() l!i% +!!+#" (il#i 3lt #&%i" $i&u"#()i (il#i 3lt #;#l, #$i
+!u# (il#i '#() t!"u&u" +u$#% !($!&#ti (il#i i$!#l('#.
/#$# t!)#()#( +!&u($!", $i *!"53##( *!"t## '#itu #(t#"# 7t $!()#( 2>
3lt, (il#i '#() t!"u&u" #$#l#% 2@ 3lt. S!$#()&#( (il#i i$!#l('# #$#l#% 2> 3lt. Di
*!"53##( &!$u# '#itu #(t#"# 7t $!()#( 12 3lt, (il#i '#() t!"u&u" #$#l#% 14 3lt.
S!$#()&#( (il#i i$!#l('# #$#l#% 12 3lt. Di *!"53##( &!ti)# '#itu #(t#"# 7t
$!()#( 1 3lt, (il#i '#() t!"u&u" #$#l#% 20 3lt. S!$#()&#( (il#i i$!#l('# #$#l#%
1 3lt. Di *!"53##( &!!*#t '#itu #(t#"# 12 $!()#( 12 3lt, (il#i '#() t!"u&u"
#$#l#% 2@ 3lt. S!$#()&#( (il#i i$!#l('# #$#l#% 24 3lt. Di *!"53##( &!li# '#itu
#(t#"# 1 $!()#( 1 3lt, (il#i '#() t!"u&u" #$#l#% = 3lt. S!$#()&#( (il#i
i$!#l('# #$#l#% = 3lt.
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/!"!$##( (il#i '#() t!"u&u" $!()#( (il#i i$!#l #$#l#% $i+!#&#( 3l!%
ti()&#t &!t!liti#( $#"i #l#t u&u". T#*i &#"!(# !$# (il#i #(t#"# (il#i '#() t!"u&u"
$!()#( (il#i i$!#l ti$#& t!"l#lu !+#", #$i ti$#& !)itu !!"i&#( *!()#"u%.
2 /!()ui#( T!)#()#( D7
T!)#()#( A7 /!()ui#( T!)#()#( D7
T!"tuli+ T!"#5# T!)#()#(
V#"i#!l
T!)#()#( Du#
Kutu*
T!)#()#( +#tu
Kutu*
0 $!()#(
>
0.11
V3lt
St"i*
&! 1
0
0.0=
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V3lt
0 - 1> 1>.2
V3lt
0 - > >,1=
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0 $!()#(
10
10. 2@
V3lt
St"i*
&! =
1.4
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V3lt
0 -1> -1>.0@
V3lt
0 $!()#(
1>
1>.>2
V3lt
St"i*
&! >
.C
V3lt
-1>
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0 $!()#(
20
20.@
V3lt
St"i*
&! @
11.2
=
V3lt
0 $!()#(
2>
2 V3lt St"i*
&! C
11.@
=
V3lt
/#$# *!()ui#( t!)#()#( A7, $i *!"53##( *!"t## (il#i '#() t!"u&u" #$#l#%
0.11 3lt *#$#%#l (il#i +!%#"u+('# #$#l#% > 3lt. Di *!"53##( &!$u# (il#i '#()
t!"u&u" #$#l#% 10.2@ 3lt *#$#%#l (il#i +!%#"u+('# #$#l#% 10 3lt. Di *!"53##(
*!"t## (il#i '#() t!"u&u" #$#l#% 1>.>2 3lt *#$#%#l (il#i +!%#"u+('# #$#l#% 1> 3lt.
Di *!"53##( *!"t## (il#i '#() t!"u&u" #$#l#% 20.@ 3lt *#$#%#l (il#i +!%#"u+('#
#$#l#% 20 3lt. Di *!"53##( *!"t## (il#i '#() t!"u&u" #$#l#% 2 3lt *#$#%#l (il#i
+!%#"u+('# #$#l#% 2> 3lt. /!"!$##( *#$# (il#i t!"+!ut &#"!(# (il#i '#() t!"u&u" $i
ulti!t!" #$#l#% (il#i t!)#()#( RMS R33t M!#( S<u#"!, u&#( (il#i t!)#()#(
*u(5#&.
/#$# *!()ui#( t!)#()#( D76
• T!)#()#( #"i#!l,
S!ti#* !(#i&&#( 1 +t"i* #&# #&#( !(#i&&#( t!)#()#( +!!+#" 2 3lt.
U(tu& +t"i* &! 1 #$#l#% 0 3lt, +ti"* &! = (il#i #$#l#% 4 3lt, +t"i* &! > #$#l#%
3lt, +t"i* &! @ #$#l#% 12 3lt, $#( +t"i* &! C #$#l#% 1 3lt. S!$#()&#(
(il#i '#() t!"u&u" *#$# +t"i* &! 1 #$#l#% 0.0=@ 3lt, +ti"* &! = (il#i #$#l#%
7/21/2019 Eldas Unit 2
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1.4@ 3lt, +t"i* &! > #$#l#% .C 3lt, +t"i* &! 11.2= #$#l#% 12 3lt, $#( +t"i*
&! C #$#l#% 11.@= 3lt. /!"!$##( %#+il #(t#"# '#() t!"#5# $#( '#() t!"u&u"
i+# #$i &#"!(# &!+#l#%#( #l#t u&u" #t#u &!+#l#%#( *!()u&u"#(.
• T!)#()#( 2 &utu
/#$# *!"53##( *!"t## (il#i '#() t!"u&u" #$#l#% 1>.2 V3lt *#$#%#l (il#i'#() +!%#"u+('# #$#l#% 1> 3lt. /#$# *!"53##( &!$u# (il#i '#() t!"u&u"
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*!"53##( &!ti)# (il#i '#() t!"u&u" #$#l#% =0.= V3lt *#$#%#l (il#i '#()
+!%#"u+('# #$#l#% =0 3lt. A$# *!"!$##( #(t#"# (il#i '#() t!"tuli+ $#( (il#i
'#() t!"u&u". Nil#i '#() t!"u&u" (il#i('# +!$i&it l!i% "!($#% $#"i*#$# (il#i
'#() t!"#5#. /!"!$##( i(i i+# $i+!#&#( &#"!(# &!+#l#%#( #l#t u&u" #t#u
&!+#l#%#( *!()u&u"#(.
• /!()ui#( t!)#()#( +#tu &utu
Nil#i '#() t!"u&u" #$#l#% >,1= 3lt, *#$#%#l +!%#"u+('# #$#l#% > 3lt. A$#
*!"!$##( &!5il #(t#"# (il#i t!"u&u" $!()#( (il#i t!"tuli+, %#l i(i i+#
$i+!#&#( &#"!(# &!+#l#%#( *!()u&u"#( #t#u &!+#l#%#( #l#t u&u"
= /!()ui#( A"u+ A7 $#( A"u+ D7
U(tu& /!()ui#( A"u+ A7 6
• R!+i+t3" 100 ?, 1> V A7
I =V
R √ 2
I =
15
100 √ 2
I =212.3mA
• R!+i+t3" 220 ?, 1> V A7
I =V
R √ 2
I = 15
220 √ 2
I =96.42mA
• R!+i+t3" 4@0 ?, 1> V A7
I =V
R √ 2
I = 15
470√ 2
I =45.13mA
U(tu& /!()ui#( A"u+ D7 6
• R!+i+t3" 100 ?, 1> V D7
I =V
R
7/21/2019 Eldas Unit 2
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I = 15
100
I =150mA
• R!+i+t3" 220 ?, 1> V D7
I =
V
R
I = 15
220
I =68.18mA
• R!+i+t3" 4@0 ?, 1> V D7
I =V
R
I = 15
470
I =31.91mA
/#$# *!()ui#( t!)#()#( A7 #$# *!"!$##( (il#i '#() t!"u&u" $!()#(
(il#i $#"i %#+il *!"%itu()#( +!5#"# t!3"i $#( u)# *!"!$##( t!"+!ut !ili&i
#"#& '#() 5u&u* !+#". /!"!$##( #(t#"# %#+il *!()ui#( $!()#( *!"%itu()#(
#(u#l t!"+!ut $#*#t $i+!#&#( &#"!(# ti()&#t &!5!"#t#( $#( &!t!liti#( $#"i
#l#t u&u" '#() t!"#t#+ #t#u &!+#l#%#( $#l# !#5# %#+il. Bi+# u)#
$i+!#&#( 3l!% t3l!"#(+i $#"i "!+i+t3", #+i()-#+i() "!+i+t3" !ili&i (il#i
t3l!"#(+i t!"+!($i"i, +!%i())# +##t $il#&u&#( *!()ui#(, (il#i "!+i+t#(+i $#"i
"!+i+t3" t!"+!ut i+# +## ti$#& +## $!()#( (il#i '#() t!"#5# *#$# )!l#()
"!+i+t3". Dit##% l#)i, t!)#()#( '#() !(#$i +u!" #$#l#% t!)#()#( A7,
+!%i())# !ili&i (il#i t!)#()#( '#() !"u#%-u#%.
/#$# *!()ui#( t!)#()#( A7 #$# *!"!$##( (il#i '#() t!"u&u" $!()#(
(il#i $#"i %#+il *!"%itu()#( +!5#"# t!3"i $#( *!"!$##( t!"+!ut ti$#& t!"l#lu
!+#". /!"!$##( #(t#"# %#+il *!()ui#( $!()#( *!"%itu()#( #(u#l *#$#
*!()u&u"#( &#li i(i 5u&u* !+#", %#l i(i $#*#t $i+!#&#( &#"!(# &!+#l#%#(
*#$# #l#t u&u" #t#u &!+#l#%#( *!#5##( %#+il *!()u&u"#(. At#u $i&#"!(#&#(
(il#i "!+i+t#(+i *#$# #+i()-#+i() "!+i+t3" !ili&i t3l!"#(+i t!"+!($i"i,
+!%i())# i+# +## +##t $il#&u&#( *!()ui#(, (il#i "!+i+t#(+i *#$# "!+i+t3"
t!"+!ut ti$#& +!+u#i $!()#( (il#i '#() t!"#5# *#$# "!+i+t3".
B. Al#t U&u" O+il3+&3*
1 /!(!"##( *#$# O+il3+&3*
/#$# *!()ui#( *!"t##, *#$# 3+il3+&3*, V3lt+8$i $i+!t *#$# &!$u$u&#( 2
V3lt. H#l i(i !"#"ti +#tu &3t#& !"ti&#l *#$# 3+il3+&3* !;#&ili 2 V3lt. S!%i())#
+&#l# '#() $iili&i #$#l#% 2. K#"!(# $i !"u*#&#( #"#& #(t#"# *u(5#& &! l!#%
#&# $i !$#+#"&#( )##" $i %#+il *!"53##( #$#l#% .
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/#$# *!()ui#( &!$u#, *#$# 3+il3+&3*, V3lt+8$i $i+!t *#$# &!$u$u&#( 0.>
V3lt. H#l i(i !"#"ti +#tu &3t#& !"ti&#l *#$# 3+il3+&3* !;#&ili 0.> V3lt. S!%i())#
+&#l# '#() $iili&i #$#l#% 0.>. K#"!(# $i !"u*#&#( #"#& #(t#"# *u(5#& &!
l!#% #&# $i !$#+#"&#( )##" $i %#+il *!"53##( #$#l#% 1.
2 /!()ui#( T!)#()#( A7/!"%itu()#( u(tu& (il#i V** #$#l#% +!#)#i !"i&ut 6
• 7T $!()#( C V
V pp=2√ 2V RMS
V pp=2√ 2×9
V pp=25.45
• 7T $!()#( 12 V
V pp=2√ 2V RMSV pp=2√ 2×12
V pp=33.94
• 7T $!()#( 1> VV pp=2√ 2V RMS
V pp=2√ 2×15V pp=42.43
U(tu& *!()u&u"#( #(t#"# $u# titi& '#() +##, #&#( !()%#+il&#( V** '#()
+#()#t &!5il. I$!#l('#, t!)#()#( i(i #$#l#% 0 V.
Nil#i '#() $i$#*#t $#" *!"%itu()#( #(u#l $#( (il#i '#() $i$#*#t +##t *!"53##(
!ili&i #"#& '#() 5u&u* !+#". /!"!$##( (il#i i(i i+# $i&#"!(#&#( &!+#l#%#(
$#l# *!#5##( %#+il #t#u &#"!(# (il#i *#$# 3+&il3+&3* +!l#lu !"u#%-u#%
+!%i())# +ulit u(tu& !($#*#t&#( (il#i '#() t!*#t
= /!()ui#( T!)#()#( D7
U(tu& t!)#()#( #"i#!l, !(#i&&#( 1 +t"i* !;#&ili !(#i&&#( t!)#()#(
+!!+#" 2 3lt $#( +t"i* &! 1 !ili&i t!)#()#( 0 3lt. K!ti&# t!)#()#( '#() $iui
*#$# +t"i* &! =, %#+il '#() u(5ul *#$# 3+il3+&3* #$#l#% 0. V3lt. /#$#%#l
+!%#"u+('# t!)#()#(('# #$#l#% 4 V3lt. /#$# +t"i* &! >, (il#i '#() u(5ul *#$#
3+il3+&3* #$#l#% 2.> V3lt, *#$#%#l +!%#"u+('# t!)#()#(('# V3lt. /#$# +t"i* &! @,
(il#i '#() t!"u&u" $#"i 3+il3+&3* #$#l#% =. V3lt, /#$#%#l +!%#"u+('# t!)#()#(('#
12 V3lt. /!"!$##( (il#i '#() t!"u&u" $!()#( '#() t!"tuli+ i+# $i+!#&#(
&!+#l#%#( $#l# *!()u&u"#( +##t *!"53##(.
4 /!()ui#( G!l3#() I+'#"#t
/!()ui#( )!l3#() i+'#"#t $!()#( !())u(#&#( AFG #&#( !()%#+il&#(
)!l3#() +!*!"ti !"i&ut6
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D#"i &!ti)# )##" )!l3#() $i #t#+, $#*#t $ili%#t #%;# +##t +u#tu
)!l3#() +i(u+3i$#l (#i& #&# )!l3#() &3t#& $#( +!)iti)# u)# #&#(
(#i&. H#l i(i $i+!#&#( &#"!(# &!ti)# )!l3#() t!"+!ut !*u('#i
"!&u!(+i '#() +##.
> /!()ui#( F"!&u!(+i 73u(t!"
/#$# *!()ui#( i(i #&#( $i)u(#&#( AFG +!#)#i *!#()&it "!&u!(+i,
&!u$i#( "!&u!(+i 53u(t!" #&#( !u(5ul&#( (il#i "!&u!(+i '#() t!"u&u".
/#$# +##t "!&u!(+i AFG @00 H9, "!u(+i *#$# 53u(t!" #$#l#% @=0 H9. /#$# +##t
"!&u!(+i AFG 1>00 H9, "!u(+i *#$# 53u(t!" #$#l#% 1>40 H9. /#$# +##t "!&u!(+i
AFG =000 H9, "!u(+i *#$# 53u(t!" #$#l#% =01 H9. /#$# +##t "!&u!(+i AFG >000
H9, "!u(+i *#$# 53u(t!" #$#l#% >2> H9. /#$# +##t "!&u!(+i AFG @000 H9,
"!u(+i *#$# 53u(t!" #$#l#% @1C@ H9.
/#$# "!&u!(+i AFG $#( "!&u!(+i '#() t!"t!"# *#$# 53u(t!" t!"$#*#t +!$i&it
*!"!$##(. /!"!$##( (il#i "!&u!(+i i(i $#*#t $i+!#&#( &#"!(# &!+uli#t#( $#l#
!()#tu" (il#i "!&u(+i '#() #&#( $i#()&it&#( *#$# AFG $#( &!+ulit#( $#l#
!()##ti %#+il *#$# "!&u!(+i 53u(t!".
/!()ui#( B!$# F#+! G!l3#() I+'#"#t
/#$# %#+il *!()ui#( $i #t#+, !(tu& )!l3#() )!+!" *%#+! #&#( !()#l#i
*!"u#%#( $#"i +u$ut &! +u$ut. U(tu& *3+i+i )!+!" =0, )!l3#() +i(u+ '#()
$i%#+il&#( #&#( !")!+!" +!$i&it &! #"#% &#(#( $#( )##" !$# *%#+!('# #&#(
!"!(tu& !li*+ i"i() &! &#(#(. /#$# )!l3#() )!+!" C0, )!l3#() +i(u+ '#()
$i%#+il&#( #&#( !")!+!" &! #"#% &#(#( $#( )##" !$# *%#+!('# #&#( !"!(tu&
li()&#"#( $t!*#t $it!()#% )#"i+ &33"$i(#t. U(tu& *3+i+i )!+!" 10, )!l3#()
+i(u+ '#() $i%#+il&#( #&#( !")!+!" #"#% &#(#( $#( )##" !$# *%#+!('# #&#(
!"!(tu& !li*+ i"i() &! &i"i.
/!"%itu()#( #(u#l6• /3+i+i )!+!" =0
7/21/2019 Eldas Unit 2
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θ=arcsin(Y 0Ym )θ=arcsin (
1
2)
θ=30
• /3+i+i )!+!" C0
θ=arcsin(Y 0Ym )θ=arcsin (1)θ=30
• /3+i+i )!+!" 10
θ=180−arcsin(Y 0Ym )θ=180−arcsin (
1
2)
θ=160
J#$i $#*#t $i+i*ul&#( *!"53##( '#() $il#&u&#( +u$#% !(#" K#"!(#
%#+il *!"%itu()#( #(u#l t!"+!ut +u$#% +!+u#i $!()#( +u$ut *3+i+i
*!")!+!"#( )!l3#().
@ /!()ui#( /!('!#"#% S!t!()#% G!l3#()
Fu()+i $#"i *!('!#"#% +!t!()#% )!l3#() %#l ;#! "!5ti!" #$#l#%
!()u#% +i('#l t!)#()#( A7 !(#$i t!)#()#( D7. R#()&#i#( *!('!#"#% +!t!()#%
)!l3#() !"u*#&#( "#()&#i#( *!('!#"#% +!$!"%#(# '#() %#('# $i#()u(
!())u(#&#( +#tu $i3$# +!#)#i &3*3(!( ut## $#l# !('!#"#%&#( )!l3#()
A7 $#( !()u#% +i('#l t!)#()#( A7 !(#$i t!)#()#( D7.
/#$# *!('!#"#% +!t!()#% )!l3#(), $i3$# #&#( !"l#&u +!#)#i *!()%#(t#"
+!l## *ut#"#( +!t!()#% /3+iti $#( ti$#& !"l#&u +!#)#i *!()%#(t#" *#$# +!t!()#%
+i&lu+ (!)#ti, +!%i())# $i(##&#( +!#)#i Si('#l +!t!()#%G!l3#(). H#l i(i
t!"#$i &#"!(# $i3$# !"#$# $#l# &!#$##( i#+ #u '#()%#('# !l!;#t&#( $!"!t#(
*ul+# *3+iti $#( !3t3() $!"!t#( *ul+# (!)#ti *#$# )!l3#() #+u&#(.
A&i#t('# )!l3#() &!lu#"#( #&#( !(#$i $!"!t#( *ul+# *3+iti +!t!()#%
)!l3#().
/!('!#"#% Dil!()&#*i Filt!" K#*#+it3" A)#" t!)#()#( *!('!#"#%#( )!l3#() A7
l!i% "#t# $#( !(#$i t!)#()#( D7 #&# $i*#+#() ilt!" &#*#+it3" *#$# #)i#( 3ut*ut
"#()&#i#(. Fu()+i &#*#+it3" *#$# "#()&#i#( $i#t#+ u(tu& !(!&#( "i*l! '#() t!"#$i $#"i
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*"3+!+ *!('!#"#%#( )!l3#() A7. S!t!l#% $i*#+#() ilt!" &#*#+it3" #&# 3ut*ut $#"i
"#()&#i#( *!('!#"#% )!l3#() *!(u% i(i #&#( !(#$i t!)#()#( D7 Di"!5t 7u""!(t.
,I. KESIMPULAN
1. Multi!t!" #$#l#% #l#t u&u" '#() $i*#&#i u(tu& !()u&u" t!)#()#( li+t"i&, #"u+
li+t"i&, $#( t#%#(#( "!+i+t#(+i. T!)#()#( '#() $iu&u" i+# t!)#()#( A7 $#( u)#
D7.
2. Nil+i '#() t!"tuli+ $!()#( (il#i '#() $iu&u" i+# !()#l#i *!"!$##( &#"!(#
$i+!#&#( &!+#l#%#( *!(5#t#t#(, &!+#l#%#( $#l# !#5# (il#i, #l#t u&u" !ili&i
ti()&#t &!t!liti#( '#() ti$#& 5u&u* #i&.
=. /#$# 3+il3+&3* $i #$#l#% #"#& #(t#"# *u(5#& $!()#( l!#% $#( +&#l# #$#l#% *3+i+i
3lt
4. AFG $i)u(#&#( u(tu& !#()&it&#( "!&u!(+i $#( "!&u!(+i 53u(t!" $i)u(#&#(
u(tu& !()%itu() (il#i "!&u!(+i>. S##t +u#tu )!l3#() !ili&i "!&u!(+i '#() +## #&# +##t )!l3#() (#i&,
#&# )!l3#() l#i( '#() !ili&i "!&u!(+i '#() +## #&#( (#i& u)#.
. B!$# #+! !(u(u&&#( *!"!$##( #(t#" +u#tu )!l3#() $!()#( )!l3#()
l#i(('#.
@. /#$# "#()&#i#( *!('!#"#% +!t!()#% )!l3#(), &#*#+it3" $i)u(#&#( u(tu&
!*!"%#lu+ $#( !"#t#&#( )!l3#() .