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Handout 2 for EE-203
Bipolar Junction Transistor (BJT)
Sheikh Sharif Iqbal
(Ref: Text book and
KFUPM Online course of EE-203)
(Remember to solve all the related examples,
exercises problems as given in the Syllabus)
Chapter 5: Bipolar Junction Transistor (BJT)
Saturation
Cutoff
Active
Mode
Table 5.1: BJT Modes of operation
Forward
Forward
Reverse
Reverse
Switch
Reverse
Forward
Amplifier
CBJ
EBJ
Application
VBE VCB
C
B
E
C
B
E
Symbols: NPN and PNP
Emitter
Collector
Base
Text book: “Microelectronic Circuits by Sedra and Smith
5.1: Device Structure and Physical Operation
• BJT is a three terminal device that can operate as “Amplifier” or as “Switch”
• Voltage between the two terminals is used to control the current in the third terminal
• BJT consist of three semiconductor regions: NPN or PNP
Figures from text book
Fig 5.3: Forward current flow in an NPN transistor biased to operate in the active mode
(Very small reverse current, due to drift of thermally generated
minority carriers, are not shown.)
Active Mode of Operation of an NPN transistor:
Lightly doped
Heavily
doped
N-Type material: Arsenic, Antimony and Phosphorus (group V materials)
P-Type material: Aluminum, Boron and Gallium (group III materials)
Figure from text book
• The EMITTER is heavily doped and have high density of electrons. But the
base is thin, lightly doped and has low density of holes. So, the current flow (iE)
between the forward biased emitter-base junction is mainly due to electronics
flowing from emitter to base. This process emits free electrons into the base.
• Among the emitted electrons in BASE, around 5% recombines with available
holes and escapes into external base lead as iB2, (iB=iB1+iB2 Î iB1 is due to majority holes)
Remaining 95% base electrons acts as a minority carriers and are swept away to
collector region by the electric field of reverse biased collector-base junc. (fig)
• These electrons are then collected by more positive collector terminal that
constitute collector current (ic). THUS: (iE) = (iB) + (iC)
Base Collector
Reversed Biased C. B. J
The Collector Current (iC): Base Current (iB):
i C I S e
v BE
V T
⋅ i B
i C
β
I S
β
e
v BE
V T
⋅
Emitter Current (iE):
iE = iC + iB
• Here, n = 1; Saturation current, 10-12> IS>10-14 A and thermal voltage, VT = 25 mV
• Note that ‘iC’ is independent of VCB , for VCB ≥0. So collector behaves as an
ideal constant current source where the current is determined by VBE. (fig 2nd slide)
• Since, iC = αiE ; iC = βiB and α= β/(β+1),
where “β” is common emitter current gain constant for a particular BJT
“α” is common base current gain
iE iC iB
+
β 1
+
β
iC
⋅
β 1
+
β
IS e
vBE
VT
⋅
⎛
⎜
⎜
⎝
⎞
⎠
⋅ iC α IE
⋅ α
β
β 1
+
• So the Emitter Current is given by:
Exercise BJT-1: For an NPN
transistor having Is=10-11 A,
β=100 &VT=25mV(at room temperature)
Calculate VBE for iC=1.5A
(Solution: 0.643 V)
Note that the PNP transistors have VEB ; whereas the NPN transistors has VBE
The PNP Transistor operation in Active mode:
Figure from text book
5.2.3: Dependence of current, voltage, temperature and the Early Effect:
0.7v
Exercise BJT-2: If a BJT has
VA=100v and IC=1mA, find r0
5.4: How to solve NPN or PNP BJT-DC circuits
5.3.3: Q-point/Biasing point: Location of biasing point affects maximum allowable signal swing
Limited + swing of vce as Q-
point (iC & vCE) is close to vCC
(this case is for Low Rc
Q-point
+ swing
(See figure 5.26)
Assume
Active
mode
=0.7v
CBJÎRB
EBJÎFB
n
n
p
Solution:
- Assume Active Mode
of operation Î VBE=0.7
n
n
p
- Since CBJ is RB,
- Initial assumption was correct
Solve
examples 5.4 to 5.12
5.5: Biasing single stage BJT Amplifiers: - Operating point or Q-point (iC and vCE)
4.75v
Voltage Divider Biasing
Assume
Active mode
Two supply Biasing
Exercises BJT-3
VCE=3.57 v
Solve example 5.13 & related exercises
Exercises BJT-3:
Exercises BJT-4:
5.6: BJT Amplifiers, Small-Signal Operation and Models :
DC
equivalent
circuit Î
AC
equivalent
circuit Î
5.6.6 and 5.6.7: Small-Signal Equivalent Circuit Models:
Two different versions of simplified hybrid-Π model for the small-signal operation of the BJT.
(a) represents the BJT as a voltage-controlled current source ( a transconductance amplifier)
(b) represents the BJT as a current-controlled current source (a current amplifier).
(b)
(a)
Two slightly different versions of what is
known as the T model of the BJT. The
circuit in (a) is a voltage-controlled
current source representation and that in
(b) is a current-controlled current source
representation. These models explicitly
show the emitter resistance re rather than
the base resistance rΠ featured in the
hybrid-π model.
(a) (b)
Solve example 5.14
Figures from text book
Lets assume the BJT is operating in Active Mode. Thus,
Since IE = I mA ; IB = IE / (β+1) mA ; VB = 0 - IB.RB ; VE = VB - 0.7 ;
Now IC= α.IE = (β.IE) / (β+1) ; VC = VCC - IC.RC and if CBJ remains RB then assumption is OK
5.7.3:Common emitter Amplifier: DC analysis to find IB, IC, IE, VB, VC and VE
Exercise-5: Find the operating point if VCC=VEE=10V, RC=8 kΩ, RB=100 kΩ, I=1mA & β=100
Solution: Q or operating point is, IC=0.99 mA ; VCE=0.3 v (as VB= -1v, VC = 2v, VE = -1.7v)
IB
IC
IE
β
VB
VC
VE
IC= α.IE , IC= β.IB and α=β/(β+1)
5.7.3:Common emitter Amplifier: AC analysis to find Gain, Input & output Impedances
Exercise-6: Find Rin ,Rout ,Av & Gv; if Rsig=RL=5kΩ, RB=100k, RC=8k; IC=1mA, IB=0.01mA, VA=100V, VT=25mV
Solution: Ri=2.43 kΩ; Rout=7.4 kΩ, Av=-119 V/V, Gv=-39 V/V (as rπ=2.5K, gm=40 mA/V, r0=100k)
Remember,
r0=|VA|/IC
gm=IC/VT
rπ=VT/IB
Figure from text book
Exercises-7:
DC analysis: O/C capacitors
& find IB, IC, IE, VB, VC, VE
Find model
parameters
(rπ, re, gm)
- S/C DC voltage source
- O/C DC current source
AC analysis: S/C capacitors
& find Î Rin, Rout, AV, Ai
Review of CE amp:
IB
IC
IE
β
Exercises-8:
5.7.4:Common emitter Amplifier with Re (emitter resistor): Controlled voltage amp
IC= α.IE ,
IC= β.IB
α=β/(β+1)
DC analysis
Exercise-9: Find the operating point if VCC=VEE=10V, RC=8 kΩ, RB=100 kΩ, I=1mA & β=100
Solution: operating point, IC=0.99 mA ; VCE=3.7 v (as IE=1mA ; VB= -1v, VC = 2v, VE = -1.7v)
and
gm=IC/VT;
re=VT/IE ;
AC analysis
Remember, re=VT/IE & Resistance reflection ruleÎ Rbase≈(β+1)R emitter
(as ro of T-model is neglected to ease solution process)
; Remember, gm=IC/VT
Figures from text book
5.7.3:Common Emitter (CE) with Emitter Resistance (Re): AC analysis (cont’d…)
Exercise-10: if IE=1mA, IC=0.99mA, Re=225Ω, RB=100kΩ, RC=8kΩ, Rsig=RL=5kΩ, β=100, VT=25mV,
Neglect ro to FIND Rin , Rout , Av,, Gv Î Sol: Ri=20.16 kΩ; Rout=8 kΩ, Av= -12.18V/V, Gv=-9.76v/v
introduce a negative feedback Î see pg 474
5.7.5:Common Base (CB) Amplifier: Unity-gain-current-amplifier or Current-buffer
DC analysis
Lets assume Active Mode.
VB = 0 ; VE = VB - 0.7 ;
IE = I mA ; IB= IE / (β+1) mA;
IC= α.IE = (β.IE) / (β+1) ;
VC = VCC - IC.RC and
if CBJ remains RB
then assumption is OK
AC analysis: For the AC equivalent circuit given in the figure in the next page,
5.7.5:Common Base (CB) Amplifier: Low Zin makes it not good voltage amplifier
AC analysis
Figures from text book
Hints: Draw the DC and AC (using T-model) equivalent circuits (as shown in figure)
The DC solutions are also shown in figure (b). Calculated Î re = 27 Ω
The Gain of the circuit, calculated from figure (c) is, Av= vo/vi = 183.3 V/V
Exercise-11: Determine the voltage gain of the circuit given in figure (a)
β=100
Figures from text book
5.7.5:Common Collector (CC) Amplifier: Emitter Follower
DC analysis Assume Active Mode.
IE=I mA; IB=IE/(β+1)mA
VB =0–(IB)(RB) ;
VE=VB - 0.7 ;
IC=α.IE = (β.IE)/(β+1) ;
VC = VCC
if CBJ remains RB
then assumption is OK
AC analysis Figures from text book
AC analysis
Base to Emitter
Emitter to Base:
Figures from text book
Exercises-12
DCÎ use KVL
VCC, RB, VBE, RE
Exercises-13
the overall voltage gain, Gv
Gv
Gv
Circuit 1 configuration Circuit 2 configuration
Exercise-14: For the following circuits, find the expressions for Rin , Rout ,Av
Assignment Problems: 5:21, 5.26, 5.72, 5.83(b), 5.130 ,5.134, 5.135,
5.143 and 5.141 Î Due on next week
Design Criteria of a BJT Amplifier (review):
Figures from text book
Simulation Examples using the Spice software:

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My_lec_Bipolar_Junction_Transistor_text_book.pdf

  • 1. Handout 2 for EE-203 Bipolar Junction Transistor (BJT) Sheikh Sharif Iqbal (Ref: Text book and KFUPM Online course of EE-203) (Remember to solve all the related examples, exercises problems as given in the Syllabus)
  • 2. Chapter 5: Bipolar Junction Transistor (BJT) Saturation Cutoff Active Mode Table 5.1: BJT Modes of operation Forward Forward Reverse Reverse Switch Reverse Forward Amplifier CBJ EBJ Application VBE VCB C B E C B E Symbols: NPN and PNP Emitter Collector Base Text book: “Microelectronic Circuits by Sedra and Smith 5.1: Device Structure and Physical Operation • BJT is a three terminal device that can operate as “Amplifier” or as “Switch” • Voltage between the two terminals is used to control the current in the third terminal • BJT consist of three semiconductor regions: NPN or PNP Figures from text book
  • 3. Fig 5.3: Forward current flow in an NPN transistor biased to operate in the active mode (Very small reverse current, due to drift of thermally generated minority carriers, are not shown.) Active Mode of Operation of an NPN transistor: Lightly doped Heavily doped N-Type material: Arsenic, Antimony and Phosphorus (group V materials) P-Type material: Aluminum, Boron and Gallium (group III materials) Figure from text book
  • 4. • The EMITTER is heavily doped and have high density of electrons. But the base is thin, lightly doped and has low density of holes. So, the current flow (iE) between the forward biased emitter-base junction is mainly due to electronics flowing from emitter to base. This process emits free electrons into the base. • Among the emitted electrons in BASE, around 5% recombines with available holes and escapes into external base lead as iB2, (iB=iB1+iB2 Î iB1 is due to majority holes) Remaining 95% base electrons acts as a minority carriers and are swept away to collector region by the electric field of reverse biased collector-base junc. (fig) • These electrons are then collected by more positive collector terminal that constitute collector current (ic). THUS: (iE) = (iB) + (iC) Base Collector Reversed Biased C. B. J
  • 5. The Collector Current (iC): Base Current (iB): i C I S e v BE V T ⋅ i B i C β I S β e v BE V T ⋅ Emitter Current (iE): iE = iC + iB • Here, n = 1; Saturation current, 10-12> IS>10-14 A and thermal voltage, VT = 25 mV • Note that ‘iC’ is independent of VCB , for VCB ≥0. So collector behaves as an ideal constant current source where the current is determined by VBE. (fig 2nd slide) • Since, iC = αiE ; iC = βiB and α= β/(β+1), where “β” is common emitter current gain constant for a particular BJT “α” is common base current gain iE iC iB + β 1 + β iC ⋅ β 1 + β IS e vBE VT ⋅ ⎛ ⎜ ⎜ ⎝ ⎞ ⎠ ⋅ iC α IE ⋅ α β β 1 + • So the Emitter Current is given by: Exercise BJT-1: For an NPN transistor having Is=10-11 A, β=100 &VT=25mV(at room temperature) Calculate VBE for iC=1.5A (Solution: 0.643 V)
  • 6. Note that the PNP transistors have VEB ; whereas the NPN transistors has VBE The PNP Transistor operation in Active mode: Figure from text book
  • 7.
  • 8. 5.2.3: Dependence of current, voltage, temperature and the Early Effect: 0.7v Exercise BJT-2: If a BJT has VA=100v and IC=1mA, find r0
  • 9. 5.4: How to solve NPN or PNP BJT-DC circuits 5.3.3: Q-point/Biasing point: Location of biasing point affects maximum allowable signal swing Limited + swing of vce as Q- point (iC & vCE) is close to vCC (this case is for Low Rc Q-point + swing (See figure 5.26)
  • 11. - Assume Active Mode of operation Î VBE=0.7 n n p - Since CBJ is RB, - Initial assumption was correct Solve examples 5.4 to 5.12
  • 12. 5.5: Biasing single stage BJT Amplifiers: - Operating point or Q-point (iC and vCE) 4.75v Voltage Divider Biasing Assume Active mode
  • 13. Two supply Biasing Exercises BJT-3 VCE=3.57 v
  • 14. Solve example 5.13 & related exercises Exercises BJT-3: Exercises BJT-4:
  • 15. 5.6: BJT Amplifiers, Small-Signal Operation and Models : DC equivalent circuit Î AC equivalent circuit Î
  • 16.
  • 17. 5.6.6 and 5.6.7: Small-Signal Equivalent Circuit Models: Two different versions of simplified hybrid-Π model for the small-signal operation of the BJT. (a) represents the BJT as a voltage-controlled current source ( a transconductance amplifier) (b) represents the BJT as a current-controlled current source (a current amplifier). (b) (a) Two slightly different versions of what is known as the T model of the BJT. The circuit in (a) is a voltage-controlled current source representation and that in (b) is a current-controlled current source representation. These models explicitly show the emitter resistance re rather than the base resistance rΠ featured in the hybrid-π model. (a) (b) Solve example 5.14 Figures from text book
  • 18. Lets assume the BJT is operating in Active Mode. Thus, Since IE = I mA ; IB = IE / (β+1) mA ; VB = 0 - IB.RB ; VE = VB - 0.7 ; Now IC= α.IE = (β.IE) / (β+1) ; VC = VCC - IC.RC and if CBJ remains RB then assumption is OK 5.7.3:Common emitter Amplifier: DC analysis to find IB, IC, IE, VB, VC and VE Exercise-5: Find the operating point if VCC=VEE=10V, RC=8 kΩ, RB=100 kΩ, I=1mA & β=100 Solution: Q or operating point is, IC=0.99 mA ; VCE=0.3 v (as VB= -1v, VC = 2v, VE = -1.7v) IB IC IE β VB VC VE IC= α.IE , IC= β.IB and α=β/(β+1)
  • 19. 5.7.3:Common emitter Amplifier: AC analysis to find Gain, Input & output Impedances Exercise-6: Find Rin ,Rout ,Av & Gv; if Rsig=RL=5kΩ, RB=100k, RC=8k; IC=1mA, IB=0.01mA, VA=100V, VT=25mV Solution: Ri=2.43 kΩ; Rout=7.4 kΩ, Av=-119 V/V, Gv=-39 V/V (as rπ=2.5K, gm=40 mA/V, r0=100k) Remember, r0=|VA|/IC gm=IC/VT rπ=VT/IB Figure from text book
  • 20. Exercises-7: DC analysis: O/C capacitors & find IB, IC, IE, VB, VC, VE Find model parameters (rπ, re, gm) - S/C DC voltage source - O/C DC current source AC analysis: S/C capacitors & find Î Rin, Rout, AV, Ai Review of CE amp:
  • 21. IB IC IE β Exercises-8: 5.7.4:Common emitter Amplifier with Re (emitter resistor): Controlled voltage amp IC= α.IE , IC= β.IB α=β/(β+1) DC analysis Exercise-9: Find the operating point if VCC=VEE=10V, RC=8 kΩ, RB=100 kΩ, I=1mA & β=100 Solution: operating point, IC=0.99 mA ; VCE=3.7 v (as IE=1mA ; VB= -1v, VC = 2v, VE = -1.7v) and gm=IC/VT; re=VT/IE ;
  • 22. AC analysis Remember, re=VT/IE & Resistance reflection ruleÎ Rbase≈(β+1)R emitter (as ro of T-model is neglected to ease solution process) ; Remember, gm=IC/VT Figures from text book
  • 23. 5.7.3:Common Emitter (CE) with Emitter Resistance (Re): AC analysis (cont’d…) Exercise-10: if IE=1mA, IC=0.99mA, Re=225Ω, RB=100kΩ, RC=8kΩ, Rsig=RL=5kΩ, β=100, VT=25mV, Neglect ro to FIND Rin , Rout , Av,, Gv Î Sol: Ri=20.16 kΩ; Rout=8 kΩ, Av= -12.18V/V, Gv=-9.76v/v introduce a negative feedback Î see pg 474
  • 24. 5.7.5:Common Base (CB) Amplifier: Unity-gain-current-amplifier or Current-buffer DC analysis Lets assume Active Mode. VB = 0 ; VE = VB - 0.7 ; IE = I mA ; IB= IE / (β+1) mA; IC= α.IE = (β.IE) / (β+1) ; VC = VCC - IC.RC and if CBJ remains RB then assumption is OK AC analysis: For the AC equivalent circuit given in the figure in the next page,
  • 25. 5.7.5:Common Base (CB) Amplifier: Low Zin makes it not good voltage amplifier AC analysis Figures from text book
  • 26. Hints: Draw the DC and AC (using T-model) equivalent circuits (as shown in figure) The DC solutions are also shown in figure (b). Calculated Î re = 27 Ω The Gain of the circuit, calculated from figure (c) is, Av= vo/vi = 183.3 V/V Exercise-11: Determine the voltage gain of the circuit given in figure (a) β=100 Figures from text book
  • 27. 5.7.5:Common Collector (CC) Amplifier: Emitter Follower DC analysis Assume Active Mode. IE=I mA; IB=IE/(β+1)mA VB =0–(IB)(RB) ; VE=VB - 0.7 ; IC=α.IE = (β.IE)/(β+1) ; VC = VCC if CBJ remains RB then assumption is OK AC analysis Figures from text book
  • 28. AC analysis Base to Emitter Emitter to Base: Figures from text book
  • 29. Exercises-12 DCÎ use KVL VCC, RB, VBE, RE Exercises-13 the overall voltage gain, Gv Gv Gv
  • 30. Circuit 1 configuration Circuit 2 configuration Exercise-14: For the following circuits, find the expressions for Rin , Rout ,Av Assignment Problems: 5:21, 5.26, 5.72, 5.83(b), 5.130 ,5.134, 5.135, 5.143 and 5.141 Î Due on next week
  • 31. Design Criteria of a BJT Amplifier (review): Figures from text book
  • 32. Simulation Examples using the Spice software: