Embed Size (px)
Citation preview
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
DASAR RANGKAIAN LISTRIK
Ali Sadiyoko, S.T., M.T. Faisal Wahab, S.Pd., M.T.
FAKULTAS TEKNOLOGI INDUSTRI
PROGRAM STUDI TEKNIK ELEKTRO KONSENTRASI MEKATRONIKA
2016
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
Topik 5 Operational Amplifier
β’ Gelombang Sinusoidal
β’ Pengantar
β’ Ideal Op-Amp
β’ Inverter Op-Amp
β’ Non-Inverter Op-Amp
β’ Summing Op-Amp
β’ Diferensial Op-Amp
β’ Cascade Op-Amp
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
Gelombang Sinusoidal
Dimana : A = Amplituda π = 2ππ = πππππ’πππ π π π’ππ’π‘
π =1
π= πππππ’πππ π
π‘ = π ππ‘π’ππ πππ‘ππ
T
A
π ππ‘ 2π π
2
3π
2
)2
(sin tT
Ay
)(sin tAy
)2(sin tfAy
A
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
Gambarkan Sinyal sinusoidal y= 2 sin (6280t)
Jawab : Amplitudo A = 2 perioda
π =2π
π
π =2π
π=
2π₯3,14
6280= 0.001 π
frekuensi π = 2ππ
π =π
2π=
6280
2π₯3.14= 1000 π»π§/1ππ»π§
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
Gain(A)
ππ
π π
ππ
+
β
Op-Amp
π½π = π¨π½π
Tegangan output ππ adalah penguatan dari Tegangan sumber ππ
Amplifier Load Source
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
+
-π£π
π π
π ππ π΄π£ππ
π ππ’π‘
+
β
π£ππ
π£ππ =π ππ
π π + π πππ£π π£π =
π π
π ππ’π‘ + π ππ΄π£ππ
+
β
π£π
πππ = ππ Idealnya ππ = π¨πππ
ππ = π¨ ππ
π π
π ππ= β (open loop)
π ππ’π‘ = 0 (close loop)
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
+
-π ππ
π΄π£ππ
π ππ’π‘
+
β
π£ππ
π£π
π£π
Karakteristik Ideal Op-Amp 1. π ππ= β, (open circuit) 2. π π = 0, (short circuit) 3. π΄ = β,
π£π = π£π
ππ = ππ = 0
ππ
ππ
Circuit Model
π£ππ = π£π β π£π
Dengan gain π΄ = β, sedangkan
π£ππ dibatasi 24 V, Maka, π£ππ
π΄= 0
Pada Op-Amp ideal π ππ= β sehingga arus yang masuk π£π dan π£π dianggap nol
π£π
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
+
-
π£π
π π
π π
+
β
π£π π£π
π£π
Inverting Amplifier
Circuit Model
π£π
π π
π π
+
β
π£π
π£π
π£π
Tentukan close loop voltage
gain π΄ =ππ
ππ !
π΄π£ππ
+
β
π£ππ π ππ
π ππ’π‘
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
+
-Terminal non-inversi dihubungkan ke ground, sehingga π£π = 0 maka
π£π = π£π = 0 dan
π£π
π π
π π
+
β
π£π
π£π
π£π
π£π β π£π
π π β
π£π β π£π
π πβ ππ = 0
π£π β π£π
π π =
π£π β π£π
π π
π£π π π β π£ππ π = π£ππ π β π£ππ π
π£π π π = π£π(π π + π π) β π£ππ π
karena π£π = 0
π£π π π = β π£ππ π
π£π
π£π = β
π π
π π
π΄ =π£π
π£π = β
π π
π π
Tentukan close loop
voltage gain π΄ =π£π
π£π !
Inverting Amplifier
KCL di node π£π: π1 β π2 β ππ = 0
ππ = ππ = 0
ππ
ππ
π΄π£ππ
+ β π1
+ β π2
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
π£π = 0.5
10Ξ©
+
β
π£π π£π
π£π
Contoh Inverting Amplifier
25Ξ©
1. Tentukan π£π 2. Tentukan arus i
π£π = βπ π
π π π£π
π£π = β25
100.5
π£π = β1.25
+ β π
π =π£π β π£π
π π
π =0.5 β 0
10
π = 0.05 π΄
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
π£π
π π
π π
+
β
π£π
π£π
π£π
Tentukan close loop voltage
gain π΄ =π£π
π£π !
0 β π£π
π π β
π£π β π£π
π πβ ππ = 0
βπ£π
π π =
π£π β π£π
π π
βπ£π π π = π£π π π β π£ππ π
π£π
π£π =
π π + π π
π π
π£π (π π + π π ) = π£ππ π
Non-Inverting Amplifier
Terminal non-inversi dihubungkan ke sumber, sehingga π£π = π£π maka π£π = π£π = π£π
Op-amp ideal ππ = ππ = 0
βπ£π
π π =
π£π β π£π
π π dan π£π = π£π = π£π
ππ
π1
π2
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
Tentukan close loop voltage
gain π΄ =π£π
π£π !
0 β π£π
π π β
π£π β π£π
π πβ ππ = 0
βπ£π
π π =
π£π β π£π
π π
βπ£π π π = π£π π π β π£ππ π
π£π
π£π =
π π + π π
π π
π£π (π π + π π ) = π£ππ π
Non-Inverting Amplifier
Terminal non-inversi dihubungkan ke sumber, sehingga π£π = π£π maka π£π = π£π = π£π
Op-amp ideal ππ = ππ = 0
βπ£π
π π =
π£π β π£π
π π dan π£π = π£π = π£π
π π
π π
π£π
π£π
+
β π£π
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
Contoh non-Inverting Amplifier
6π
4Ξ©
10Ξ©
+
β
π£π π£π
π£π
4π
6 β π£π
π π β
π£π β π£π
π πβ ππ = 0
Karena π£π = π£π = π£π dan ππ = ππ = 0
6 β 4
4β
4 β π£π
10β 0 = 0
6 β 4
4=
4 β π£π
10
2
4=
4 β π£π
10
5 = 4 β π£π
π£π = β1
1. Tentukan π£π
KCL di node π£π
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
π£π
+
β
π£π
π£π
π£π
Buffer Amplifier
Terminal non-inversi (π£π) dihubungkan ke sumber,
sehingga ππ= ππ maka ππ = ππ = ππ
Dan terminal π£π terhubung langsung dengan π£π π£π = π£π Sehingga ππ = ππ = ππ = ππ
Jadi gain loop tertutupnya adalah 1.
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
Summing Amplifier π£1
π 1 π π
+
β
π£π π£π
π£π π£2
π£3
π 2
π 3
π1 + π2 + π3 β π = 0
π1
π2
π3
π
π£1 β π£π
π 1+
π£2 β π£π
π 2+
π£3 β π£π
π 3=
π£π β π£π
π π
π£1
π 1+
π£2
π 2+
π£3
π 3=
βπ£π
π π
βπ π
π 1π£1 +
π π
π 2π£2 +
π π
π 3π£3 = π£π
Terminal non-inversi dihubungkan ke ground, sehingga π£π = 0 maka π£π = π£π = 0
KCL di node π£π
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
2 π
5Ξ© 10 Ξ©
+
β
π£π π£π
π£π
1 π
2.5Ξ©
π1
π2
Contoh Summing Amplifier
2 Ξ©
β10
52 +
10
2,51 = π£π
β 4 + 4 = π£π
1. Tentukan π£π 2. Tentukan ππ
β8 = π£π
ππ =π£π β 0
10+
π£π β 0
2
ππ = β8
10β
8
2
ππ = β0.8 β 4
ππ = β4.8 π΄
1. Mentukan π£π
1. Mentukan ππ
π0
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
Difference Amplifier
π1
π 1
π 4
+
β
ππ ππ
ππ
π2
π 2
π 3
π1
π2
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
ππ =π 2 + π 1
π 1ππ β
π 2
π 1π1
karena ππ = ππ
ππ =π 2 + π 1
π 1
π 4
π 3 + π 4π2 β
π 2
π 1π1
ππ =π 4
π 3 + π 4π2
π2 β ππ
π 3=
ππ
π 4
π2π 4 β πππ 4 = πππ 3
π2π 4 = πππ 3 + πππ 4
π2π 4 = ππ(π 3 + π 4)
ππ =π 4
π 3 + π 4π2
KCL di node π£π
π1 β ππ
π 1=
ππ β ππ
π 2
π1π 2 β πππ 2 = πππ 1 β πππ 1
πππ 1 = ππ π 2 + π 1 β π1π 2
ππ =π 2 + π 1
π 1ππ β
π 2
π 1π1
KCL di node π£π
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
Cascaded Op Amp Circuits
ππ
π π π π
+
β
ππ
ππ
ππ
ππ
ππ
π π π π
ππ
π π
π π
+
β
ππ ππ
ππ
ππ
ππ π π
π π
Inverting Amplifier
Non-Inverting Amplifier
Program Studi Teknik Elektro Konsentrasi Mekatronika Universitas Katolik Parahyangan
20mV
3 12
+
β
ππ
ππ
ππ
ππ
ππ
4 10
Op-amp pertama Op-amp kedua
π£π =12 + 3
320
π£π = 100ππ
π£π =10 + 4
4100
π£π = 350ππ
