SlideShare a Scribd company logo
Bipolar Junction
Transistor: Duo-Diode Model
Arpan Deyasi
Dept of ECE, RCCIIT, Kolkata, India
1/5/2021 Arpan Deyasi, RCCIIT 1
1/5/2021 Arpan Deyasi, RCCIIT 2
Ebers-Moll Model
A model which deals with the equivalent circuit
of a BJT with two-diode theory
n p n
n p np
1/5/2021 Arpan Deyasi, RCCIIT 3
Ebers-Moll Model
n p np
E C
B
E C
B
1/5/2021 Arpan Deyasi, RCCIIT 4
Ebers-Moll Model
αF: Common-Emitter current gain
IR: Base-Collector reverse current
C F F RI I Iα= −
1/5/2021 Arpan Deyasi, RCCIIT 5
Ebers-Moll Model
exp 1BE
F ES
qV
I I
kT
  
−  
  
exp 1BC
R CS
qV
I I
kT
  
= −  
  
exp 1
exp 1
BE
C F ES
BC
CS
qV
I I
kT
qV
I
kT
α
  
−  
  
  
− −  
  
1/5/2021 Arpan Deyasi, RCCIIT 6
Ebers-Moll Model
αR: Common-Base current gain in reverse mode
IF: Base-Emitter forward current
E R R FI I Iα= −
1/5/2021 Arpan Deyasi, RCCIIT 7
exp 1BE
F ES
qV
I I
kT
  
−  
  
exp 1BC
R CS
qV
I I
kT
  
= −  
  
Ebers-Moll Model
exp 1
exp 1
BC
E R CS
BE
ES
qV
I I
kT
qV
I
kT
α
  
−  
  
  
− −  
  
1/5/2021 Arpan Deyasi, RCCIIT 8
CE
B
Ebers-Moll Model: Equivalent Circuit
R CS F ESI Iα α=
VBE VBC
1/5/2021 Arpan Deyasi, RCCIIT 9
Ebers-Moll Model
0B E CI I I+ + =
B E CI I I=− −
1/5/2021 Arpan Deyasi, RCCIIT 10
exp 1 exp 1
exp 1 exp 1
BC BE
B R CS ES
BCBE
F ES CS
qV qV
I I I
kT kT
qVqV
I I
kT kT
α
α
      
=− − + −     
     
     
− − + −     
      
Ebers-Moll Model
1/5/2021 Arpan Deyasi, RCCIIT 11
( )
( )
exp 1 1
exp 1 1
BE
B ES F
BC
CS R
qV
I I
kT
qV
I
kT
α
α
  
= − −  
  
  
+ − −  
  
Ebers-Moll Model
1/5/2021 Arpan Deyasi, RCCIIT 12
The original Ebers-Moll model can't capture the
Early Effect or any charge storage effects.
Ebers-Moll Model: Disadvantage
1/5/2021 Arpan Deyasi, RCCIIT 13
Charge-Control Model
EC
B
αIIC
αNIE
exp 1BE
ES
qV
I
kT
  
−  
  
exp 1BC
CS
qV
I
kT
  
−  
  
1/5/2021 Arpan Deyasi, RCCIIT 14
Charge-Control Model
QN: charge stored in normal distribution
QI: charge stored in inverted distribution
τtN/ τtI : transit time for normal/inverted
mode for charge collection at collector
τpN/ τpI : transit time for normal/inverted
mode for recombination at base
1/5/2021 Arpan Deyasi, RCCIIT 15
Charge-Control Model
N
CN
tN
Q
I
τ
= N N
EN
tN pN
Q Q
I
τ τ
= +
Normal mode
Inverted mode
I
EI
tI
Q
I
τ
= − I I
CI
tI pI
Q Q
I
τ τ
=− −
1/5/2021 Arpan Deyasi, RCCIIT 16
Charge-Control Model
Net collector current
N I I
C
tN tI pI
Q Q Q
I
τ τ τ
= − −
Net emitter current
N N I
E
tN pN tI
Q Q Q
I
τ τ τ
= + −
1/5/2021 Arpan Deyasi, RCCIIT 17
Charge-Control Model
Net base current
N N NI I I
B
tN pN tI tN tI pI
Q Q QQ Q Q
I
τ τ τ τ τ τ
=− − + − + +
B E CI I I=− −
1 1 1
1 1 1
B N
tN pN tN
I
tI tI pI
I Q
Q
τ τ τ
τ τ τ
 
=− + +  
 
 
+ + +  
 

More Related Content

More from RCC Institute of Information Technology

Electromagnetic Wave Propagations
Electromagnetic Wave PropagationsElectromagnetic Wave Propagations
Electromagnetic Wave Propagations
RCC Institute of Information Technology
 
Biot-Savart law
Biot-Savart lawBiot-Savart law
Ampere's circuital law
Ampere's circuital lawAmpere's circuital law
Magnetic Potentials
Magnetic PotentialsMagnetic Potentials
Reflection and Transmission coefficients in transmission line
Reflection and Transmission coefficients in transmission lineReflection and Transmission coefficients in transmission line
Reflection and Transmission coefficients in transmission line
RCC Institute of Information Technology
 
Impedance in transmission line
Impedance in transmission lineImpedance in transmission line
Impedance in transmission line
RCC Institute of Information Technology
 
Distortionless Transmission Line
Distortionless Transmission LineDistortionless Transmission Line
Distortionless Transmission Line
RCC Institute of Information Technology
 
Quantum Hall Effect
Quantum Hall EffectQuantum Hall Effect
Telegrapher's Equation
Telegrapher's EquationTelegrapher's Equation
Dielectrics
DielectricsDielectrics
Capacitor
CapacitorCapacitor
Electrical Properties of Dipole
Electrical Properties of DipoleElectrical Properties of Dipole
Electrical Properties of Dipole
RCC Institute of Information Technology
 
Application of Gauss' Law
Application of Gauss' LawApplication of Gauss' Law
Application of Gauss' Law
RCC Institute of Information Technology
 
Fundamentals of Gauss' Law
Fundamentals of Gauss' LawFundamentals of Gauss' Law
Fundamentals of Gauss' Law
RCC Institute of Information Technology
 
Fundamentals of Coulomb's Law
Fundamentals of Coulomb's LawFundamentals of Coulomb's Law
Fundamentals of Coulomb's Law
RCC Institute of Information Technology
 
Vector Integration
Vector IntegrationVector Integration
Scalar and vector differentiation
Scalar and vector differentiationScalar and vector differentiation
Scalar and vector differentiation
RCC Institute of Information Technology
 
Coordinate transformation
Coordinate transformationCoordinate transformation
Coordinate transformation
RCC Institute of Information Technology
 
Moletronics
MoletronicsMoletronics
Crystal Growth
Crystal GrowthCrystal Growth

More from RCC Institute of Information Technology (20)

Electromagnetic Wave Propagations
Electromagnetic Wave PropagationsElectromagnetic Wave Propagations
Electromagnetic Wave Propagations
 
Biot-Savart law
Biot-Savart lawBiot-Savart law
Biot-Savart law
 
Ampere's circuital law
Ampere's circuital lawAmpere's circuital law
Ampere's circuital law
 
Magnetic Potentials
Magnetic PotentialsMagnetic Potentials
Magnetic Potentials
 
Reflection and Transmission coefficients in transmission line
Reflection and Transmission coefficients in transmission lineReflection and Transmission coefficients in transmission line
Reflection and Transmission coefficients in transmission line
 
Impedance in transmission line
Impedance in transmission lineImpedance in transmission line
Impedance in transmission line
 
Distortionless Transmission Line
Distortionless Transmission LineDistortionless Transmission Line
Distortionless Transmission Line
 
Quantum Hall Effect
Quantum Hall EffectQuantum Hall Effect
Quantum Hall Effect
 
Telegrapher's Equation
Telegrapher's EquationTelegrapher's Equation
Telegrapher's Equation
 
Dielectrics
DielectricsDielectrics
Dielectrics
 
Capacitor
CapacitorCapacitor
Capacitor
 
Electrical Properties of Dipole
Electrical Properties of DipoleElectrical Properties of Dipole
Electrical Properties of Dipole
 
Application of Gauss' Law
Application of Gauss' LawApplication of Gauss' Law
Application of Gauss' Law
 
Fundamentals of Gauss' Law
Fundamentals of Gauss' LawFundamentals of Gauss' Law
Fundamentals of Gauss' Law
 
Fundamentals of Coulomb's Law
Fundamentals of Coulomb's LawFundamentals of Coulomb's Law
Fundamentals of Coulomb's Law
 
Vector Integration
Vector IntegrationVector Integration
Vector Integration
 
Scalar and vector differentiation
Scalar and vector differentiationScalar and vector differentiation
Scalar and vector differentiation
 
Coordinate transformation
Coordinate transformationCoordinate transformation
Coordinate transformation
 
Moletronics
MoletronicsMoletronics
Moletronics
 
Crystal Growth
Crystal GrowthCrystal Growth
Crystal Growth
 

Recently uploaded

2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf
2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf
2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf
Yasser Mahgoub
 
Comparative analysis between traditional aquaponics and reconstructed aquapon...
Comparative analysis between traditional aquaponics and reconstructed aquapon...Comparative analysis between traditional aquaponics and reconstructed aquapon...
Comparative analysis between traditional aquaponics and reconstructed aquapon...
bijceesjournal
 
Curve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods RegressionCurve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods Regression
Nada Hikmah
 
NATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENT
NATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENTNATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENT
NATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENT
Addu25809
 
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
IEEE Aerospace and Electronic Systems Society as a Graduate Student MemberIEEE Aerospace and Electronic Systems Society as a Graduate Student Member
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
VICTOR MAESTRE RAMIREZ
 
Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...
IJECEIAES
 
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Sinan KOZAK
 
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
ecqow
 
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressionsKuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
Victor Morales
 
ISPM 15 Heat Treated Wood Stamps and why your shipping must have one
ISPM 15 Heat Treated Wood Stamps and why your shipping must have oneISPM 15 Heat Treated Wood Stamps and why your shipping must have one
ISPM 15 Heat Treated Wood Stamps and why your shipping must have one
Las Vegas Warehouse
 
Unit-III-ELECTROCHEMICAL STORAGE DEVICES.ppt
Unit-III-ELECTROCHEMICAL STORAGE DEVICES.pptUnit-III-ELECTROCHEMICAL STORAGE DEVICES.ppt
Unit-III-ELECTROCHEMICAL STORAGE DEVICES.ppt
KrishnaveniKrishnara1
 
spirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptxspirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptx
Madan Karki
 
Embedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoringEmbedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoring
IJECEIAES
 
gray level transformation unit 3(image processing))
gray level transformation unit 3(image processing))gray level transformation unit 3(image processing))
gray level transformation unit 3(image processing))
shivani5543
 
BRAIN TUMOR DETECTION for seminar ppt.pdf
BRAIN TUMOR DETECTION for seminar ppt.pdfBRAIN TUMOR DETECTION for seminar ppt.pdf
BRAIN TUMOR DETECTION for seminar ppt.pdf
LAXMAREDDY22
 
ACEP Magazine edition 4th launched on 05.06.2024
ACEP Magazine edition 4th launched on 05.06.2024ACEP Magazine edition 4th launched on 05.06.2024
ACEP Magazine edition 4th launched on 05.06.2024
Rahul
 
Electric vehicle and photovoltaic advanced roles in enhancing the financial p...
Electric vehicle and photovoltaic advanced roles in enhancing the financial p...Electric vehicle and photovoltaic advanced roles in enhancing the financial p...
Electric vehicle and photovoltaic advanced roles in enhancing the financial p...
IJECEIAES
 
ML Based Model for NIDS MSc Updated Presentation.v2.pptx
ML Based Model for NIDS MSc Updated Presentation.v2.pptxML Based Model for NIDS MSc Updated Presentation.v2.pptx
ML Based Model for NIDS MSc Updated Presentation.v2.pptx
JamalHussainArman
 
Harnessing WebAssembly for Real-time Stateless Streaming Pipelines
Harnessing WebAssembly for Real-time Stateless Streaming PipelinesHarnessing WebAssembly for Real-time Stateless Streaming Pipelines
Harnessing WebAssembly for Real-time Stateless Streaming Pipelines
Christina Lin
 
Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...
Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...
Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...
IJECEIAES
 

Recently uploaded (20)

2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf
2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf
2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf
 
Comparative analysis between traditional aquaponics and reconstructed aquapon...
Comparative analysis between traditional aquaponics and reconstructed aquapon...Comparative analysis between traditional aquaponics and reconstructed aquapon...
Comparative analysis between traditional aquaponics and reconstructed aquapon...
 
Curve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods RegressionCurve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods Regression
 
NATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENT
NATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENTNATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENT
NATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENT
 
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
IEEE Aerospace and Electronic Systems Society as a Graduate Student MemberIEEE Aerospace and Electronic Systems Society as a Graduate Student Member
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
 
Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...
 
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
 
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
 
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressionsKuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
 
ISPM 15 Heat Treated Wood Stamps and why your shipping must have one
ISPM 15 Heat Treated Wood Stamps and why your shipping must have oneISPM 15 Heat Treated Wood Stamps and why your shipping must have one
ISPM 15 Heat Treated Wood Stamps and why your shipping must have one
 
Unit-III-ELECTROCHEMICAL STORAGE DEVICES.ppt
Unit-III-ELECTROCHEMICAL STORAGE DEVICES.pptUnit-III-ELECTROCHEMICAL STORAGE DEVICES.ppt
Unit-III-ELECTROCHEMICAL STORAGE DEVICES.ppt
 
spirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptxspirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptx
 
Embedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoringEmbedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoring
 
gray level transformation unit 3(image processing))
gray level transformation unit 3(image processing))gray level transformation unit 3(image processing))
gray level transformation unit 3(image processing))
 
BRAIN TUMOR DETECTION for seminar ppt.pdf
BRAIN TUMOR DETECTION for seminar ppt.pdfBRAIN TUMOR DETECTION for seminar ppt.pdf
BRAIN TUMOR DETECTION for seminar ppt.pdf
 
ACEP Magazine edition 4th launched on 05.06.2024
ACEP Magazine edition 4th launched on 05.06.2024ACEP Magazine edition 4th launched on 05.06.2024
ACEP Magazine edition 4th launched on 05.06.2024
 
Electric vehicle and photovoltaic advanced roles in enhancing the financial p...
Electric vehicle and photovoltaic advanced roles in enhancing the financial p...Electric vehicle and photovoltaic advanced roles in enhancing the financial p...
Electric vehicle and photovoltaic advanced roles in enhancing the financial p...
 
ML Based Model for NIDS MSc Updated Presentation.v2.pptx
ML Based Model for NIDS MSc Updated Presentation.v2.pptxML Based Model for NIDS MSc Updated Presentation.v2.pptx
ML Based Model for NIDS MSc Updated Presentation.v2.pptx
 
Harnessing WebAssembly for Real-time Stateless Streaming Pipelines
Harnessing WebAssembly for Real-time Stateless Streaming PipelinesHarnessing WebAssembly for Real-time Stateless Streaming Pipelines
Harnessing WebAssembly for Real-time Stateless Streaming Pipelines
 
Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...
Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...
Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...
 

Duo-diode Models of BJT

  • 1. Bipolar Junction Transistor: Duo-Diode Model Arpan Deyasi Dept of ECE, RCCIIT, Kolkata, India 1/5/2021 Arpan Deyasi, RCCIIT 1
  • 2. 1/5/2021 Arpan Deyasi, RCCIIT 2 Ebers-Moll Model A model which deals with the equivalent circuit of a BJT with two-diode theory n p n n p np
  • 3. 1/5/2021 Arpan Deyasi, RCCIIT 3 Ebers-Moll Model n p np E C B E C B
  • 4. 1/5/2021 Arpan Deyasi, RCCIIT 4 Ebers-Moll Model αF: Common-Emitter current gain IR: Base-Collector reverse current C F F RI I Iα= −
  • 5. 1/5/2021 Arpan Deyasi, RCCIIT 5 Ebers-Moll Model exp 1BE F ES qV I I kT    −      exp 1BC R CS qV I I kT    = −      exp 1 exp 1 BE C F ES BC CS qV I I kT qV I kT α    −         − −     
  • 6. 1/5/2021 Arpan Deyasi, RCCIIT 6 Ebers-Moll Model αR: Common-Base current gain in reverse mode IF: Base-Emitter forward current E R R FI I Iα= −
  • 7. 1/5/2021 Arpan Deyasi, RCCIIT 7 exp 1BE F ES qV I I kT    −      exp 1BC R CS qV I I kT    = −      Ebers-Moll Model exp 1 exp 1 BC E R CS BE ES qV I I kT qV I kT α    −         − −     
  • 8. 1/5/2021 Arpan Deyasi, RCCIIT 8 CE B Ebers-Moll Model: Equivalent Circuit R CS F ESI Iα α= VBE VBC
  • 9. 1/5/2021 Arpan Deyasi, RCCIIT 9 Ebers-Moll Model 0B E CI I I+ + = B E CI I I=− −
  • 10. 1/5/2021 Arpan Deyasi, RCCIIT 10 exp 1 exp 1 exp 1 exp 1 BC BE B R CS ES BCBE F ES CS qV qV I I I kT kT qVqV I I kT kT α α        =− − + −                  − − + −             Ebers-Moll Model
  • 11. 1/5/2021 Arpan Deyasi, RCCIIT 11 ( ) ( ) exp 1 1 exp 1 1 BE B ES F BC CS R qV I I kT qV I kT α α    = − −         + − −      Ebers-Moll Model
  • 12. 1/5/2021 Arpan Deyasi, RCCIIT 12 The original Ebers-Moll model can't capture the Early Effect or any charge storage effects. Ebers-Moll Model: Disadvantage
  • 13. 1/5/2021 Arpan Deyasi, RCCIIT 13 Charge-Control Model EC B αIIC αNIE exp 1BE ES qV I kT    −      exp 1BC CS qV I kT    −     
  • 14. 1/5/2021 Arpan Deyasi, RCCIIT 14 Charge-Control Model QN: charge stored in normal distribution QI: charge stored in inverted distribution τtN/ τtI : transit time for normal/inverted mode for charge collection at collector τpN/ τpI : transit time for normal/inverted mode for recombination at base
  • 15. 1/5/2021 Arpan Deyasi, RCCIIT 15 Charge-Control Model N CN tN Q I τ = N N EN tN pN Q Q I τ τ = + Normal mode Inverted mode I EI tI Q I τ = − I I CI tI pI Q Q I τ τ =− −
  • 16. 1/5/2021 Arpan Deyasi, RCCIIT 16 Charge-Control Model Net collector current N I I C tN tI pI Q Q Q I τ τ τ = − − Net emitter current N N I E tN pN tI Q Q Q I τ τ τ = + −
  • 17. 1/5/2021 Arpan Deyasi, RCCIIT 17 Charge-Control Model Net base current N N NI I I B tN pN tI tN tI pI Q Q QQ Q Q I τ τ τ τ τ τ =− − + − + + B E CI I I=− − 1 1 1 1 1 1 B N tN pN tN I tI tI pI I Q Q τ τ τ τ τ τ   =− + +       + + +    