Bipolar Junction Transistor
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Bipolar JunctionTransistor
Electronic CircuitsElectronic Circuits
CHO, Yong HeuiCHO, Yong Heui
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1. Physical operation
Device structure
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Mode EBJ CBJ
Cutoff Reverse Reverse
Active Forward Reverse
Rev. Act. Reverse Forward
Saturation Forward Forward
1. Physical operation
Device structure
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1. Physical operation
Operation in active mode
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1. Physical operation
Operation in forward active mode
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1. Physical operation
Minority carrier profile
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1. Physical operation
Collector current
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For short Emitter
LP
IB2 = Qn/τb
1
1 1
Qn = AE·q·1/2·np(0)·W = (AE·q·W·ni2/2NA)evBE/VT
IB = IB1 + IB2 = IC/βDp
Dn
NA
ND
WB
Lp
W2
2Dnτbβ = +[ ]
-1: common emitter current gain
1. Physical operation
Base current
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: common base current gain
α = αF, β = βF : at forward active
1. Physical operation
Emitter current
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1. Physical operation
Equivalent model
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1. Physical operation
Ebers-Moll model
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Ebers-Moll Model at saturation Mode
1. Physical operation
Ebers-Moll model
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Saturation Mode
1. Physical operation
Saturation mode
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1. Physical operation
PNP transistor
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2. I-V
Example
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2. I-V
Common-base
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iC = ISeVBE/VT·(1+vCE/VA)
∂iC
∂vCE
ro ≡vBE=constant
-1
2. I-V
Common-emitter
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βdc = ICQ/IBQ
βac = ΔiC/ΔiB : vCE=constant
2. I-V
Current gain
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βforced = ICsat/IB
βforced < βF
2. I-V
Saturation voltage
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∂vCE
∂iCRCEsat ≡ iB=IB
iC=ICsat
2. I-V
Saturation resistance
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∂vCE
∂iCRCEsat ≡ iB=IB
iC=ICsat
2. I-V
Saturation resistance
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vO = vCE = VCC - RCiC
vO = VCC - RC·ISevI/VT : at active
ICsat = (VCC – VCEsat)/RC
0 < vI < 0.5 : Cutoff (switch off)
: at saturation
Av ≡dvo
dvi vI=VBE
= -(1/VT)·ISeVBE/VT·RC
= -ICRC/VT = -VRC/VT
VRC = VCC - VCE
For max gain and swing
3. Amplifier
Large signal
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vCE = VCC-RCiC
iC = VCC/RC – vCE/RC
vBE = VBB-RBiB
iB = VBB/RB – vBE/RB
3. Amplifier
Graphical analysis
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3. Amplifier
Graphical analysis
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IB(EOS)
3. Amplifier
Bias point
Operation as switch
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4. BJT circuits
Example
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-
4. BJT circuits
Example
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≡
4. BJT circuits
Example
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4. BJT circuits
Example
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RE : negative feedback
5. Bias
Discrete-circuit biasing
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Biasing using a collector-to-base feedback resistor
VCB = IBRB = IERB/(β+1)
Small RB small swing
5. Bias
Discrete-circuit biasing
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I = IREF = (VCC + VEE – VBE)/R
Large RB 사용가능
5. Bias
Current source biasing
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6. Small-signal operation
Bias point
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6. Small-signal operation
Transconductance
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Small signal Emitter resistance : re
Voltage Gain
vc = -icRC = gmvbeRC = (-gmvbe)RC Av = vc/vbe = -gmRC = -ICRC/VT
6. Small-signal operation
Input resistance
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6. Small-signal operation
Hybrid model
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6. Small-signal operation
T model
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6. Small-signal operation
Example
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6. Small-signal operation
Example
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Av = vc/vbe = -gm(RC//rO)
6. Small-signal operation
Output resistance
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Bypass Capacitor : CE
Coupling Capacitor : CC1, CC2
At DC analysis
7. BJT amplifier
Common-emitter amplifier
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Rib = rπ Rin = vi/ii = RB//Rib ≒ rπ vsigvi =Rin
Rin+Rsig
vsig= rπ
rπ+Rsig
vi = vπvO = -gmvπ(RC∥RL∥rO)
Av = -gm(RC∥RL∥rO) Avo = -gm(RC∥rO) ≒ -gmRC (rO≫RC)
Rin
Rin+Rsig
AvGv =
rπ
rπ+Rsig
≒ - gm(Rc∥RL∥rO) ≒ Av (rπ≫Rsig)
Rout = RC∥rO ≒ RC
Ais = ios/ii = -gmRin ≒ -gmrπ= -β
7. BJT amplifier
Small signal circuit
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vi
re+Re
vo = -ic(RC∥RL) = -αie(RC∥RL) = -α(RC∥RL)
Rin = RB//Rib Rib = vi/ib = (β+1)(re+Re) ≒ rπ(1+gmRe)
rO = ∞
Av ≒ -(RC∥RL)/(re+Re)
Avo = -αRC/(re+Re) ≒ -gmRC/(1+gmRe) Rout = RC∥rO ≒ RC
Ais = ios/ii = -αie/(vi/Rin) = -αRinie/vi = -α(RB∥Rib)/(re+Re) = -α(β+1)(re+Re)/(re+Re) = -β
ie = vi/(re+Re)
7. BJT amplifier
Emitter resistance
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Rin
Rin+Rsig
AvGv =
Rin
Rin+Rsig
= -α(RC∥RL)
re+Re ≒ -
β(RC∥RL)
Rsig+(β+1)(re+Re)
: less sensitive to β
vπ = vi re
re+Re
11+gmRe
≒ vi
Rib is increaed by the factor (1+gmRe)
The voltage gain is reduced by the factor (1+gmRe)
For the same nonlinear distortion, vi can be increased by the factor (1+gmRe)
Overall voltage gain is less sensitive to β
High frequency response is improved.
Effects of negative feedback through Re
7. BJT amplifier
Emitter resistance
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vi
re+Re
vo = -αie(RC∥RL) = α(RC∥RL) ie = -vi/reRin = re
Av = gm(RC∥RL) Avo = gmRC Rout = RC
Ais = ios/ii = -αie/(-ie) = αvi
vsig
Rin
Rin+Rsig
re
re+Rsig
==
re
re+Rsig
AvGv = = gm(RC∥RL)
re
re+Rsig
α(RC∥RL)
re+Rsig
=
7. BJT amplifier
Common base amplifier
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Rib = vb/ib = (β+1)[re+(ro∥RL)]
Rin = RB∥Rib
7. BJT amplifier
Emitter follower
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vo/vsig ≒RL
[Rsig/(β+1)] +re+RL
RB≫Rsig, ro≫RL
Rout = ro∥Rsig∥RB
re + β+1[ ] Rsig∥RB
re + β+1≒
Gvo =ro
[(Rsig∥RB)/(β+1)] +re+roRsig+R
B
RB
7. BJT amplifier
Emitter follower
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8. BJT capacitance
Internal capacitance
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hfe : CE short-circuit current gain
Ib = Vπ· (1/rπ//sCπ//sCμ) Ic = Vπ· (gm - sCμ)
hfe ≡ Ic/Ib = 1/rπ+ sCπ+ sCμ
gm - sCμ
1 + s(Cπ+Cμ)rπ
gmrπ≒1 + s/ωβ
β0=: STC LPF
(Cπ+Cμ)rπ
1ωβ = ωT = β0·ωβ =
Cπ+Cμ
gm fT = 2π(Cπ+Cμ)
gm
8. BJT capacitance
High frequency model
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High level Injection
8. BJT capacitance
Collector current
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RB//rπ
RB//rπ+Rsig
AM = - gm(Rc∥RL∥rO)
9. Frequency response
Frequency bands
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9. Frequency response
High frequency model
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Iμ = sCμ(Vπ-Vo)
= sCμ(Vπ+ gmRL’Vπ)
= sCμ(1 + gmRL’)Vπ
= sCeqVπ
Ceq = sCμ(1 + gmRL’)
1 + s/ω0
1V’sigVπ =
ω0 = 1/CinRsig’
9. Frequency response
High frequency response
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1 + s/ω0
1Vo
Vsig
RB
RB + Rsig
AM =1 + s/ω0
1= -
rπ+rx+(RB∥Rsig)
rπ·gmRL’
9. Frequency response
High frequency response
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ωP1
ss+ ωP2
ss+ ωP3
ss+
Vo
Vsig
= - AM
High Freq. gain X 3 poles
9. Frequency response
Low frequency response
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(RB//rπ)+Rsig+ sCC1
1
RB//rπVsigVπ =Vo = - gmVπ(Rc∥RL)
(RB//rπ)+Rsig
RB//rπ gm(Rc∥RL)
CC1[(RB//rπ)+Rsig]1
s +
s ωP1
ss+
Vo
Vsig
= - AM= -
9. Frequency response
Capacitance effect
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(RB//Rsig)+(β+1)(re sCE
11
VsigIb =Vo = - βIb(Rc∥RL)
Vo
VsigωP2
ss+
= - AM= -
)
RB
RB + Rsig
CE[re+
1s +
s
RB//Rsig
β+1 ]
RB
RB + Rsig
β(Rc∥RL)
(RB//Rsig)+(β+1)re
9. Frequency response
Capacitance effect
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(RB//rπ)+Rsig
RB//rπVsigVπ = Vo = - gmVπ
sCC2
1RC
++R
L
RL
RC
(RB//rπ)+Rsig
RB//rπ gm(Rc∥RL)
CC2(RC+RL)1
s +
s ωP3
ss+
Vo
Vsig
= - AM= -
9. Frequency response
Capacitance effect