SlideShare una empresa de Scribd logo
1 de 60
Descargar para leer sin conexión
TEOREM THEVENIN & TEOREM NORTON 
EN. CHIN SENG FATT 
ADTEC TAIPING 
LITAR ELEKTRIK
TUJUAN PEMBELAJARAN 
Selepas mengikuti topik ini, pelajar-pelajar mesti boleh: 
Terangkan Kaedah Teorem Thevenin dan Norton 
Terangkan Kaedah Teorem Thevenin ke Norton dan sebaliknya 
24/09/2014 
2 
THEVENIN_NORTON
KANDUNGAN 
Thevenin Theorem 
Norton Theorem 
Thevenin ke Norton 
Norton ke Thevenin 
24/09/2014 
3 
THEVENIN_NORTON
ANALISIS-ANALISIS LITAR 
HUKUM OHM 
24/09/2014 
THEVENIN_NORTON 
4 
HKV 
HKA 
MESH 
NODE 
THEVENIN / NORTON
TEOREM THEVENIN 
MENYATAKAN BAHAWA 
Satu litar linear yang kompleks boleh diwakilkan dengan litar setara yang mengandungi satu sumber voltan sesiri dengan satu rintangan setara dan beban 
24/09/2014 
5 
THEVENIN_NORTON
KAEDAH TEOREM THEVENIN 
1.MENCARI VOLTAN THEVENIN 
a.KELUAR BEBAN 
b.KIRA VOLTAN 
2.MENCARI RINTANGAN THEVENIN 
a.PINTAS SUMBER BEKALAN 
b.KIRA JUMLAH RINTANGAN 
24/09/2014 
THEVENIN_NORTON 
6
CONTOH 1 TEOREM THEVENIN 
24/09/2014 
THEVENIN_NORTON 
7
KENALPASTI BEBAN 
RINTANGAN BEBAN 4Ω 
24/09/2014 
THEVENIN_NORTON 
8
CARI VOLTAN THEVENIN 
1. KELUAR BEBAN DARI LLITAR 
24/09/2014 
THEVENIN_NORTON 
9
CARI VOLTAN THEVENIN 
2. KIRA VOLTAN 
24/09/2014 
THEVENIN_NORTON 
10 
[10Ω/(5Ω +10Ω)] 
x (15-10V) 
=3.33V 
10V + 3.33V 
= 13.33V
CARI RINTANGAN THEVENIN 
3. PINTAS SUMBER 
24/09/2014 
THEVENIN_NORTON 
11
CARI RINTANGAN THEVENIN 
4. KIRA JUMLAH RINTANGAN 
24/09/2014 
THEVENIN_NORTON 
12 
5||10+6 
=9.33Ω
LITAR SETARA THEVENIN 
24/09/2014 
THEVENIN_NORTON 
13 
9.33Ω 
13.33V
SOALAN: CARI ARUS & VOLTAN PADA 4Ω 
24/09/2014 
THEVENIN_NORTON 
14 
9.33Ω 
13.33V 
I = V / R 
= 13.33 
(9.33+4) 
= 1A 
V = [4/(9.33+4)] x 13.33 = 4V 
ATAU V = 1A x 4Ω = 4V
KESIMPULAN TEOREM THEVENIN 
BIL. 
LANGKAH 
TUJUAN 
1 
KELUARKAN BEBAN 
MENCARI VOLTAN THV 
2 
KIRA VOLTAN 
3 
PINTAS SUMBER 
MENCARI RINTANGAN THV 
4 
KIRA JUMLAH RINTANGAN 
24/09/2014 
15 
THEVENIN_NORTON
UJI KENDIRI 
LUKIS LITAR THEVENIN. CARI ARUS & VOLTAN 4Ω 
24/09/2014 
THEVENIN_NORTON 
16
TEOREM NORTON 
MENYATAKAN BAHAWA: 
Satu litar linear yang kompleks boleh diwakilkan dengan litar setara (satu sumber arus selari dengan satu rintangan setara) 
24/09/2014 
THEVENIN_NORTON 
17
KAEDAH TEOREM NORTON 
24/09/2014 
18 
THEVENIN_NORTON 
1.MENCARI ARUS NORTON 
a.PINTAS BEBAN 
b.TUKAR SUMBER VOLTAN KE SUMBER ARUS 
c.KIRA JUMLAH SUMBER ARUS 
d.KIRA ARUS PINTAS 
2.MENCARI RINTANGAN NORTON 
a.KELUAR SUMBER BEKALAN 
b.KIRA JUMLAH RINTANGAN
CONTOH 2 TEOREM NORTON 
24/09/2014 
THEVENIN_NORTON 
19
KENALPASTI BEBAN 
RINTANGAN BEBAN 4Ω 
24/09/2014 
THEVENIN_NORTON 
20
CARI ARUS NORTON 
1. PINTAS RINTANGAN BEBAN 4Ω 
24/09/2014 
THEVENIN_NORTON 
21
CARI ARUS NORTON 
2. TUKAR SUMBER VOLTAN KE SUMBER ARUS 
24/09/2014 
THEVENIN_NORTON 
22 
10V/10Ω 
=1A 
15V/5Ω 
=3A
CARI ARUS NORTON 
2. TUKAR SUMBER VOLTAN KE SUMBER ARUS 
24/09/2014 
THEVENIN_NORTON 
23
CARI ARUS NORTON 
3. JUMLAHKAN SUMBER ARUS 
24/09/2014 
THEVENIN_NORTON 
24 
1A + 3A =4A
CARI ARUS NORTON 
4. KIRA ARUS PINTAS. 
(HUKUM PEMBAHAGI ARUS) 
24/09/2014 
THEVENIN_NORTON 
25 
퐼= 3.336+3.33 푥 4=ퟏ.ퟒퟑ푨
CARI RINTANGAN NORTON 
5. KELUARKAN SUMBER ARUS 
24/09/2014 
THEVENIN_NORTON 
26
CARI RINTANGAN NORTON 
6. KIRA JUMLAH RINTANGAN 
24/09/2014 
THEVENIN_NORTON 
27 
푅=6+ 5 푥 105+10=ퟗ.ퟑퟑ 푶풉풎
LITAR SETARA NORTON 
24/09/2014 
THEVENIN_NORTON 
28
SOALAN: CARI ARUS PADA 4 OHM 
24/09/2014 
THEVENIN_NORTON 
29 
I = [9.33/(9.33+4)] x 1.43 = 1A
KESIMPULAN TEOREM NORTON 
LANGKAH 
PENERANGAN 
TUJUAN 
1 
PINTASKAN BEBAN 
MENCARI ARUS NORTON 
2 
TUKAR SUMBER VOLTAN KE SUMBER ARUS. 
3 
JUMLAHKAN SUMBER ARUS 
4 
KIRA ARUS PINTAS GUNA HUKUM PEMBAHAGI ARUS 
5 
BUKA LITAR SUMBER ARUS 
MENCARI RINTANGAN NORTON 
6 
KIRA JUMLAH RINTANGAN 
24/09/2014 
30 
THEVENIN_NORTON
UJI KENDIRI 
LUKIS LITAR NORTON. CARI ARUS 4Ω 
24/09/2014 
THEVENIN_NORTON 
31
LITAR THEVENIN-NORTON 
SOURCE TRANSFORMATION
1. TRANSFORM SUMBER VOLTAN KE SUMBER ARUS 
24/09/2014 
THEVENIN_NORTON 
33 
15V/5 Ohm=3A 
10V/10 Ohm=1A
2. JUMLAHKAN SUMBER ARUS 
24/09/2014 
THEVENIN_NORTON 
34 
3A+1A=4A
3. JUMLAH RINTANGAN SELARI 
24/09/2014 
THEVENIN_NORTON 
35 
5x10 = 3.33 Ohm 
5+10
4. TRANSFORM SUMBER ARUS KE VOLTAN 
24/09/2014 
THEVENIN_NORTON 
36 
4A x 3.33 Ohm = 13.33V
5. JUMLAH RINTANGAN SIRI 
24/09/2014 
THEVENIN_NORTON 
37 
LITAR THEVENIN 
6 Ohm + 3.33 Ohm = 9.33 Ohm
6. THEVENIN ke NORTON 
24/09/2014 
THEVENIN_NORTON 
38 
LITAR NORTON 
13.33V / 9.33Ohm = 1.43A 
LITAR THEVENIN
CONTOH LAGI… 
24/09/2014 
THEVENIN_NORTON 
39
CONTOH LITAR 3 
24/09/2014 
THEVENIN_NORTON 
40 
R2 = RINTANGAN BEBAN @ LOAD
1. TRANSFORM SUMBER VOLTAN KE SUMBER ARUS 
24/09/2014 
THEVENIN_NORTON 
41 
I2 = V1 / R1
2. JUMLAHKAN SUMBER ARUS 
24/09/2014 
THEVENIN_NORTON 
42 
I3 = I1 + 12
3. TRANSFORM SUMBER ARUS KE SUMBER VOLTAN 
24/09/2014 
THEVENIN_NORTON 
43 
V2 = I3 x R4
4. JUMLAHKAN RINTANGAN SIRI 
24/09/2014 
THEVENIN_NORTON 
44 
R6 = R1 + R3 + R4
SELESAI! 
24/09/2014 
THEVENIN_NORTON 
45 
LITAR SETARA THEVENIN
LITAR  NORTON 
SOURCE TRANSFORMATION
CONTOH LITAR 4 
24/09/2014 
THEVENIN_NORTON 
47 
R2 = RINTANGAN BEBAN @ LOAD
CONTOH LITAR 3  THEVENIN 
24/09/2014 
THEVENIN_NORTON 
48 
LITAR SETARA THEVENIN
THEVENIN  NORTON 
24/09/2014 
THEVENIN_NORTON 
49 
LITAR SETARA NORTON
RUMUSAN – SOURCE TRANSFORMATION 
24/09/2014 
THEVENIN_NORTON 
50 
Norton  Thevenin 
VTH = IN x RN 
RTH = RN 
Thevenin  Norton 
IN = VTH / RTH 
RN = RTH 
Thevenin 
Norton
THEVENIN  NORTON 
24/09/2014 
THEVENIN_NORTON 
51
THEVENIN DAN NORTON 
•JUMLAH RINTANGAN SETARA ADALAH SAMA 
–RN = RTH 
•ARUS PADA BEBAN ADALAH SAMA 
–I LOAD NORTON = I LOAD THEVENIN 
•HUKUM OHM 
–VTH = I N x RN 
–I N = VTH / RTH 
24/09/2014 
THEVENIN_NORTON 
52
THEVENIN vs NORTON 
24/09/2014 
THEVENIN_NORTON 
53 
NO. 
NORTON 
THEVENIN 
1 
PINTASKAN BEBAN 
KELUARKAN BEBAN 
2 
TUKAR SUMBER VOLTAN KE SUMBER ARUS 
KIRA VOLTAN 
3 
JUMLAHKAN SUMBER ARUS 
- 
4 
KIRA ARUS PINTAS GUNA HUKUM PEMBAHAGI ARUS 
- 
5 
BUKA LITAR SUMBER ARUS 
PINTAS SUMBER 
6 
KIRA JUMLAH RINTANGAN 
KIRA JUMLAH RINTANGAN
MEMILIH ANALISIS YANG SESUAI 
24/09/2014 
THEVENIN_NORTON 
54 
•TEOREM SUPERPOSISI 
–HUKUM OHM, HUKUM LITAR SIRI/SELARI 
–KEMAHIRAN MATEMATIK RENDAH 
–SATU ANALISIS UNTUK SATU SUMBER 
–SUKAR, MASA LAMA ANALISIS 
•ANALISIS NOD 
–HUKUM KIRCHOFF ARUS 
–JANA PERSAMAAN DENGAN MUDAH 
–PENYELESAIAN NILAI SATU VOLTAN & PECAHAN 
–KEMAHIRAN MATEMATIK RENDAH 
–PERSAMAAN SERENTAK JIKA LEBIH 2 NOD
MEMILIH TEOREM YANG SESUAI 
24/09/2014 
THEVENIN_NORTON 
55 
•ANALISIS MESH 
–HUKUM KIRCHOFF VOLTAN 
–PERSAMAAN DIJANA MUDAH 
–SELESAIKAN NILAI SEMUA ARUS 
–KEMAHIRAN MATEMATIK TINGGI 
–PENYELESAIAN PERSAMAAN SERENTAK
MEMILIH TEOREM YANG SESUAI 
24/09/2014 
THEVENIN_NORTON 
56 
•TEOREM THEVENIN 
–PENGGUNAAN 1 SUMBER VOLTAN SETARA DAN 1 RINTANGAN LITAR SIRI 
–KEMAHIRAN MATEMATIK RENDAH 
–BERGUNA DALAM REKABINA LITAR DENGAN NILAI BEBAN BERBILANG
MEMILIH TEOREM YANG SESUAI 
24/09/2014 
THEVENIN_NORTON 
57 
•TEOREM NORTON 
–PENGGUNAAN 1 SUMBER ARUS SETARA DAN 1 RINTANGAN LITAR SELARI 
–PELENGKAP KEPADA TEOREM THEVENIN
TUGASAN 
LUKIS LITAR NORTON DENGAN CARA SOURCE TRANSFORMATION. 
CARI ARUS & VOLTAN 4Ω 
24/09/2014 
THEVENIN_NORTON 
58
TAMAT 
SEKIAN TERIMA KASIH 
24/09/2014 
THEVENIN_NORTON 
59
KAPASITOR & INDUKTOR 
24/09/2014 
THEVENIN_NORTON 
60

Más contenido relacionado

La actualidad más candente

UJIAN RINTANGAN ELEKTROD BUMI
UJIAN RINTANGAN ELEKTROD BUMIUJIAN RINTANGAN ELEKTROD BUMI
UJIAN RINTANGAN ELEKTROD BUMI
shrim shaharin
 
Pengenalan motor
Pengenalan motorPengenalan motor
Pengenalan motor
Encik Mirul
 
Pembentangan pearuh@induktor (inductor)
Pembentangan pearuh@induktor (inductor)Pembentangan pearuh@induktor (inductor)
Pembentangan pearuh@induktor (inductor)
Perwira Roslee
 
MOTOR ELEKTRIK AT & AU FASA TUNGGAL
MOTOR ELEKTRIK AT & AU FASA TUNGGALMOTOR ELEKTRIK AT & AU FASA TUNGGAL
MOTOR ELEKTRIK AT & AU FASA TUNGGAL
MUQRI MUQRI
 
Bab 2 sistem gentian optik
Bab 2 sistem gentian optikBab 2 sistem gentian optik
Bab 2 sistem gentian optik
kerolpuo
 
Binaan pemuat dan proses cas nyahcas
Binaan pemuat dan proses cas nyahcasBinaan pemuat dan proses cas nyahcas
Binaan pemuat dan proses cas nyahcas
Hafizun Hussin
 

La actualidad más candente (20)

Analisis litar siri, litar selari dan litar
Analisis litar siri, litar selari dan litarAnalisis litar siri, litar selari dan litar
Analisis litar siri, litar selari dan litar
 
Motor Arus Terus (AT)
Motor Arus Terus (AT)Motor Arus Terus (AT)
Motor Arus Terus (AT)
 
UJIAN RINTANGAN ELEKTROD BUMI
UJIAN RINTANGAN ELEKTROD BUMIUJIAN RINTANGAN ELEKTROD BUMI
UJIAN RINTANGAN ELEKTROD BUMI
 
Pengenalan motor
Pengenalan motorPengenalan motor
Pengenalan motor
 
Pembentangan pearuh@induktor (inductor)
Pembentangan pearuh@induktor (inductor)Pembentangan pearuh@induktor (inductor)
Pembentangan pearuh@induktor (inductor)
 
hukum asas litar elektrik
hukum asas litar elektrikhukum asas litar elektrik
hukum asas litar elektrik
 
Bab 4 litar akhir
Bab 4 litar akhirBab 4 litar akhir
Bab 4 litar akhir
 
Litar siri dan selari
Litar siri dan selariLitar siri dan selari
Litar siri dan selari
 
8.1 multimeter
8.1 multimeter8.1 multimeter
8.1 multimeter
 
MOTOR ELEKTRIK AT & AU FASA TUNGGAL
MOTOR ELEKTRIK AT & AU FASA TUNGGALMOTOR ELEKTRIK AT & AU FASA TUNGGAL
MOTOR ELEKTRIK AT & AU FASA TUNGGAL
 
Hukum Kirchoff / Kirchoff Law
Hukum Kirchoff / Kirchoff LawHukum Kirchoff / Kirchoff Law
Hukum Kirchoff / Kirchoff Law
 
Bab 2 sistem gentian optik
Bab 2 sistem gentian optikBab 2 sistem gentian optik
Bab 2 sistem gentian optik
 
Pemutus litar
Pemutus litarPemutus litar
Pemutus litar
 
motor dc
motor dcmotor dc
motor dc
 
G hukum-ohm
G hukum-ohmG hukum-ohm
G hukum-ohm
 
Perintang
PerintangPerintang
Perintang
 
Ujian Rintangan Penebatan
Ujian Rintangan PenebatanUjian Rintangan Penebatan
Ujian Rintangan Penebatan
 
HUKUM OHM
HUKUM OHMHUKUM OHM
HUKUM OHM
 
Binaan pemuat dan proses cas nyahcas
Binaan pemuat dan proses cas nyahcasBinaan pemuat dan proses cas nyahcas
Binaan pemuat dan proses cas nyahcas
 
UJIAN KEKUTUBAN
UJIAN KEKUTUBANUJIAN KEKUTUBAN
UJIAN KEKUTUBAN
 

Destacado

RL - Thevenin and Norton Theorems
RL - Thevenin and Norton TheoremsRL - Thevenin and Norton Theorems
RL - Thevenin and Norton Theorems
Muhammad Dany
 
MSc Research - Chin Seng Fatt
MSc Research - Chin Seng FattMSc Research - Chin Seng Fatt
MSc Research - Chin Seng Fatt
sf c
 
Modul 10-teorema-norton
Modul 10-teorema-nortonModul 10-teorema-norton
Modul 10-teorema-norton
bernadsihotang
 
Principle of electricity
Principle of electricityPrinciple of electricity
Principle of electricity
sf c
 
RANGKAIAN THEVENIN-NORTHON
RANGKAIAN THEVENIN-NORTHONRANGKAIAN THEVENIN-NORTHON
RANGKAIAN THEVENIN-NORTHON
Annis Kenny
 
4.3 Determinants and Cramer's Rule
4.3 Determinants and Cramer's Rule4.3 Determinants and Cramer's Rule
4.3 Determinants and Cramer's Rule
hisema01
 

Destacado (20)

RL - Thevenin and Norton Theorems
RL - Thevenin and Norton TheoremsRL - Thevenin and Norton Theorems
RL - Thevenin and Norton Theorems
 
Teorema Thevenin
Teorema TheveninTeorema Thevenin
Teorema Thevenin
 
MSc Research - Chin Seng Fatt
MSc Research - Chin Seng FattMSc Research - Chin Seng Fatt
MSc Research - Chin Seng Fatt
 
Lakar graf fungsi kuadratik
Lakar graf fungsi kuadratikLakar graf fungsi kuadratik
Lakar graf fungsi kuadratik
 
Modul 10-teorema-norton
Modul 10-teorema-nortonModul 10-teorema-norton
Modul 10-teorema-norton
 
Teorema Norton
Teorema NortonTeorema Norton
Teorema Norton
 
Mencari suatu fungsi dari fungsi komposit
Mencari suatu fungsi dari fungsi kompositMencari suatu fungsi dari fungsi komposit
Mencari suatu fungsi dari fungsi komposit
 
Principle of electricity
Principle of electricityPrinciple of electricity
Principle of electricity
 
Modul 4 WORKPLACE CULTURE ETHICS
Modul 4 WORKPLACE CULTURE ETHICSModul 4 WORKPLACE CULTURE ETHICS
Modul 4 WORKPLACE CULTURE ETHICS
 
Langkah mencari litar setara norton thevenin guna source transformation
Langkah mencari litar setara norton thevenin guna source transformationLangkah mencari litar setara norton thevenin guna source transformation
Langkah mencari litar setara norton thevenin guna source transformation
 
Teori thevenin
Teori theveninTeori thevenin
Teori thevenin
 
Cara lukis graf
Cara lukis grafCara lukis graf
Cara lukis graf
 
Tugas 3 Teori Thevenin, Metode Loop, dan Reduksi Rangkaian
Tugas 3 Teori Thevenin, Metode Loop, dan Reduksi RangkaianTugas 3 Teori Thevenin, Metode Loop, dan Reduksi Rangkaian
Tugas 3 Teori Thevenin, Metode Loop, dan Reduksi Rangkaian
 
5. teorema rangkaian
5. teorema rangkaian5. teorema rangkaian
5. teorema rangkaian
 
Teorema de norton
Teorema de nortonTeorema de norton
Teorema de norton
 
RANGKAIAN THEVENIN-NORTHON
RANGKAIAN THEVENIN-NORTHONRANGKAIAN THEVENIN-NORTHON
RANGKAIAN THEVENIN-NORTHON
 
4.3 Determinants and Cramer's Rule
4.3 Determinants and Cramer's Rule4.3 Determinants and Cramer's Rule
4.3 Determinants and Cramer's Rule
 
4.3 cramer’s rule
4.3 cramer’s rule4.3 cramer’s rule
4.3 cramer’s rule
 
Kurikulum plc
Kurikulum plc Kurikulum plc
Kurikulum plc
 
Rangkaian kontrol
Rangkaian kontrolRangkaian kontrol
Rangkaian kontrol
 

Último

Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
kauryashika82
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
QucHHunhnh
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptx
heathfieldcps1
 

Último (20)

Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
 
Holdier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdfHoldier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdf
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17
 
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptxINDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 
Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptx
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptx
 
Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1
 
Introduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The BasicsIntroduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The Basics
 
Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SD
 
Web & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfWeb & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdf
 
ICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptx
 
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptxBasic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
 
Advance Mobile Application Development class 07
Advance Mobile Application Development class 07Advance Mobile Application Development class 07
Advance Mobile Application Development class 07
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
 

TEOREM THEVENIN & TEOREM NORTON

  • 1. TEOREM THEVENIN & TEOREM NORTON EN. CHIN SENG FATT ADTEC TAIPING LITAR ELEKTRIK
  • 2. TUJUAN PEMBELAJARAN Selepas mengikuti topik ini, pelajar-pelajar mesti boleh: Terangkan Kaedah Teorem Thevenin dan Norton Terangkan Kaedah Teorem Thevenin ke Norton dan sebaliknya 24/09/2014 2 THEVENIN_NORTON
  • 3. KANDUNGAN Thevenin Theorem Norton Theorem Thevenin ke Norton Norton ke Thevenin 24/09/2014 3 THEVENIN_NORTON
  • 4. ANALISIS-ANALISIS LITAR HUKUM OHM 24/09/2014 THEVENIN_NORTON 4 HKV HKA MESH NODE THEVENIN / NORTON
  • 5. TEOREM THEVENIN MENYATAKAN BAHAWA Satu litar linear yang kompleks boleh diwakilkan dengan litar setara yang mengandungi satu sumber voltan sesiri dengan satu rintangan setara dan beban 24/09/2014 5 THEVENIN_NORTON
  • 6. KAEDAH TEOREM THEVENIN 1.MENCARI VOLTAN THEVENIN a.KELUAR BEBAN b.KIRA VOLTAN 2.MENCARI RINTANGAN THEVENIN a.PINTAS SUMBER BEKALAN b.KIRA JUMLAH RINTANGAN 24/09/2014 THEVENIN_NORTON 6
  • 7. CONTOH 1 TEOREM THEVENIN 24/09/2014 THEVENIN_NORTON 7
  • 8. KENALPASTI BEBAN RINTANGAN BEBAN 4Ω 24/09/2014 THEVENIN_NORTON 8
  • 9. CARI VOLTAN THEVENIN 1. KELUAR BEBAN DARI LLITAR 24/09/2014 THEVENIN_NORTON 9
  • 10. CARI VOLTAN THEVENIN 2. KIRA VOLTAN 24/09/2014 THEVENIN_NORTON 10 [10Ω/(5Ω +10Ω)] x (15-10V) =3.33V 10V + 3.33V = 13.33V
  • 11. CARI RINTANGAN THEVENIN 3. PINTAS SUMBER 24/09/2014 THEVENIN_NORTON 11
  • 12. CARI RINTANGAN THEVENIN 4. KIRA JUMLAH RINTANGAN 24/09/2014 THEVENIN_NORTON 12 5||10+6 =9.33Ω
  • 13. LITAR SETARA THEVENIN 24/09/2014 THEVENIN_NORTON 13 9.33Ω 13.33V
  • 14. SOALAN: CARI ARUS & VOLTAN PADA 4Ω 24/09/2014 THEVENIN_NORTON 14 9.33Ω 13.33V I = V / R = 13.33 (9.33+4) = 1A V = [4/(9.33+4)] x 13.33 = 4V ATAU V = 1A x 4Ω = 4V
  • 15. KESIMPULAN TEOREM THEVENIN BIL. LANGKAH TUJUAN 1 KELUARKAN BEBAN MENCARI VOLTAN THV 2 KIRA VOLTAN 3 PINTAS SUMBER MENCARI RINTANGAN THV 4 KIRA JUMLAH RINTANGAN 24/09/2014 15 THEVENIN_NORTON
  • 16. UJI KENDIRI LUKIS LITAR THEVENIN. CARI ARUS & VOLTAN 4Ω 24/09/2014 THEVENIN_NORTON 16
  • 17. TEOREM NORTON MENYATAKAN BAHAWA: Satu litar linear yang kompleks boleh diwakilkan dengan litar setara (satu sumber arus selari dengan satu rintangan setara) 24/09/2014 THEVENIN_NORTON 17
  • 18. KAEDAH TEOREM NORTON 24/09/2014 18 THEVENIN_NORTON 1.MENCARI ARUS NORTON a.PINTAS BEBAN b.TUKAR SUMBER VOLTAN KE SUMBER ARUS c.KIRA JUMLAH SUMBER ARUS d.KIRA ARUS PINTAS 2.MENCARI RINTANGAN NORTON a.KELUAR SUMBER BEKALAN b.KIRA JUMLAH RINTANGAN
  • 19. CONTOH 2 TEOREM NORTON 24/09/2014 THEVENIN_NORTON 19
  • 20. KENALPASTI BEBAN RINTANGAN BEBAN 4Ω 24/09/2014 THEVENIN_NORTON 20
  • 21. CARI ARUS NORTON 1. PINTAS RINTANGAN BEBAN 4Ω 24/09/2014 THEVENIN_NORTON 21
  • 22. CARI ARUS NORTON 2. TUKAR SUMBER VOLTAN KE SUMBER ARUS 24/09/2014 THEVENIN_NORTON 22 10V/10Ω =1A 15V/5Ω =3A
  • 23. CARI ARUS NORTON 2. TUKAR SUMBER VOLTAN KE SUMBER ARUS 24/09/2014 THEVENIN_NORTON 23
  • 24. CARI ARUS NORTON 3. JUMLAHKAN SUMBER ARUS 24/09/2014 THEVENIN_NORTON 24 1A + 3A =4A
  • 25. CARI ARUS NORTON 4. KIRA ARUS PINTAS. (HUKUM PEMBAHAGI ARUS) 24/09/2014 THEVENIN_NORTON 25 퐼= 3.336+3.33 푥 4=ퟏ.ퟒퟑ푨
  • 26. CARI RINTANGAN NORTON 5. KELUARKAN SUMBER ARUS 24/09/2014 THEVENIN_NORTON 26
  • 27. CARI RINTANGAN NORTON 6. KIRA JUMLAH RINTANGAN 24/09/2014 THEVENIN_NORTON 27 푅=6+ 5 푥 105+10=ퟗ.ퟑퟑ 푶풉풎
  • 28. LITAR SETARA NORTON 24/09/2014 THEVENIN_NORTON 28
  • 29. SOALAN: CARI ARUS PADA 4 OHM 24/09/2014 THEVENIN_NORTON 29 I = [9.33/(9.33+4)] x 1.43 = 1A
  • 30. KESIMPULAN TEOREM NORTON LANGKAH PENERANGAN TUJUAN 1 PINTASKAN BEBAN MENCARI ARUS NORTON 2 TUKAR SUMBER VOLTAN KE SUMBER ARUS. 3 JUMLAHKAN SUMBER ARUS 4 KIRA ARUS PINTAS GUNA HUKUM PEMBAHAGI ARUS 5 BUKA LITAR SUMBER ARUS MENCARI RINTANGAN NORTON 6 KIRA JUMLAH RINTANGAN 24/09/2014 30 THEVENIN_NORTON
  • 31. UJI KENDIRI LUKIS LITAR NORTON. CARI ARUS 4Ω 24/09/2014 THEVENIN_NORTON 31
  • 33. 1. TRANSFORM SUMBER VOLTAN KE SUMBER ARUS 24/09/2014 THEVENIN_NORTON 33 15V/5 Ohm=3A 10V/10 Ohm=1A
  • 34. 2. JUMLAHKAN SUMBER ARUS 24/09/2014 THEVENIN_NORTON 34 3A+1A=4A
  • 35. 3. JUMLAH RINTANGAN SELARI 24/09/2014 THEVENIN_NORTON 35 5x10 = 3.33 Ohm 5+10
  • 36. 4. TRANSFORM SUMBER ARUS KE VOLTAN 24/09/2014 THEVENIN_NORTON 36 4A x 3.33 Ohm = 13.33V
  • 37. 5. JUMLAH RINTANGAN SIRI 24/09/2014 THEVENIN_NORTON 37 LITAR THEVENIN 6 Ohm + 3.33 Ohm = 9.33 Ohm
  • 38. 6. THEVENIN ke NORTON 24/09/2014 THEVENIN_NORTON 38 LITAR NORTON 13.33V / 9.33Ohm = 1.43A LITAR THEVENIN
  • 39. CONTOH LAGI… 24/09/2014 THEVENIN_NORTON 39
  • 40. CONTOH LITAR 3 24/09/2014 THEVENIN_NORTON 40 R2 = RINTANGAN BEBAN @ LOAD
  • 41. 1. TRANSFORM SUMBER VOLTAN KE SUMBER ARUS 24/09/2014 THEVENIN_NORTON 41 I2 = V1 / R1
  • 42. 2. JUMLAHKAN SUMBER ARUS 24/09/2014 THEVENIN_NORTON 42 I3 = I1 + 12
  • 43. 3. TRANSFORM SUMBER ARUS KE SUMBER VOLTAN 24/09/2014 THEVENIN_NORTON 43 V2 = I3 x R4
  • 44. 4. JUMLAHKAN RINTANGAN SIRI 24/09/2014 THEVENIN_NORTON 44 R6 = R1 + R3 + R4
  • 45. SELESAI! 24/09/2014 THEVENIN_NORTON 45 LITAR SETARA THEVENIN
  • 46. LITAR  NORTON SOURCE TRANSFORMATION
  • 47. CONTOH LITAR 4 24/09/2014 THEVENIN_NORTON 47 R2 = RINTANGAN BEBAN @ LOAD
  • 48. CONTOH LITAR 3  THEVENIN 24/09/2014 THEVENIN_NORTON 48 LITAR SETARA THEVENIN
  • 49. THEVENIN  NORTON 24/09/2014 THEVENIN_NORTON 49 LITAR SETARA NORTON
  • 50. RUMUSAN – SOURCE TRANSFORMATION 24/09/2014 THEVENIN_NORTON 50 Norton  Thevenin VTH = IN x RN RTH = RN Thevenin  Norton IN = VTH / RTH RN = RTH Thevenin Norton
  • 51. THEVENIN  NORTON 24/09/2014 THEVENIN_NORTON 51
  • 52. THEVENIN DAN NORTON •JUMLAH RINTANGAN SETARA ADALAH SAMA –RN = RTH •ARUS PADA BEBAN ADALAH SAMA –I LOAD NORTON = I LOAD THEVENIN •HUKUM OHM –VTH = I N x RN –I N = VTH / RTH 24/09/2014 THEVENIN_NORTON 52
  • 53. THEVENIN vs NORTON 24/09/2014 THEVENIN_NORTON 53 NO. NORTON THEVENIN 1 PINTASKAN BEBAN KELUARKAN BEBAN 2 TUKAR SUMBER VOLTAN KE SUMBER ARUS KIRA VOLTAN 3 JUMLAHKAN SUMBER ARUS - 4 KIRA ARUS PINTAS GUNA HUKUM PEMBAHAGI ARUS - 5 BUKA LITAR SUMBER ARUS PINTAS SUMBER 6 KIRA JUMLAH RINTANGAN KIRA JUMLAH RINTANGAN
  • 54. MEMILIH ANALISIS YANG SESUAI 24/09/2014 THEVENIN_NORTON 54 •TEOREM SUPERPOSISI –HUKUM OHM, HUKUM LITAR SIRI/SELARI –KEMAHIRAN MATEMATIK RENDAH –SATU ANALISIS UNTUK SATU SUMBER –SUKAR, MASA LAMA ANALISIS •ANALISIS NOD –HUKUM KIRCHOFF ARUS –JANA PERSAMAAN DENGAN MUDAH –PENYELESAIAN NILAI SATU VOLTAN & PECAHAN –KEMAHIRAN MATEMATIK RENDAH –PERSAMAAN SERENTAK JIKA LEBIH 2 NOD
  • 55. MEMILIH TEOREM YANG SESUAI 24/09/2014 THEVENIN_NORTON 55 •ANALISIS MESH –HUKUM KIRCHOFF VOLTAN –PERSAMAAN DIJANA MUDAH –SELESAIKAN NILAI SEMUA ARUS –KEMAHIRAN MATEMATIK TINGGI –PENYELESAIAN PERSAMAAN SERENTAK
  • 56. MEMILIH TEOREM YANG SESUAI 24/09/2014 THEVENIN_NORTON 56 •TEOREM THEVENIN –PENGGUNAAN 1 SUMBER VOLTAN SETARA DAN 1 RINTANGAN LITAR SIRI –KEMAHIRAN MATEMATIK RENDAH –BERGUNA DALAM REKABINA LITAR DENGAN NILAI BEBAN BERBILANG
  • 57. MEMILIH TEOREM YANG SESUAI 24/09/2014 THEVENIN_NORTON 57 •TEOREM NORTON –PENGGUNAAN 1 SUMBER ARUS SETARA DAN 1 RINTANGAN LITAR SELARI –PELENGKAP KEPADA TEOREM THEVENIN
  • 58. TUGASAN LUKIS LITAR NORTON DENGAN CARA SOURCE TRANSFORMATION. CARI ARUS & VOLTAN 4Ω 24/09/2014 THEVENIN_NORTON 58
  • 59. TAMAT SEKIAN TERIMA KASIH 24/09/2014 THEVENIN_NORTON 59
  • 60. KAPASITOR & INDUKTOR 24/09/2014 THEVENIN_NORTON 60