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1
by Fatemeh Khorramshahi
Outline
 BJT
 Common Emitter
○ Determining quiescent conditions
○ Calculating small signal performance
 Voltage Gain
 Input Impedance
 Output Impedance
 Cut-off frequency
 Common Collector
 Common Base
2
npn transistor
simplified structure
Note: Normally Emitter layer is heavily doped, Base
layer is lightly doped and Collector layer has
Moderate doping.
B
C
E
Schematic
Symbol
3
• Curve Tracer
Provides a graph of the characteristic curves.
• Digital multimeters (DMM)
Some DMMs measure βDC or hfe.
• Ohmmeter
Transistor Testing
4
Small signal models of bjt
b
e
hoe
hie
hrevce
hfeib
vbe
ib ic
vce
c
e
+
_
+ +
_ _
h-parameter model
Hybrid-π model
5
Common Emitter (CE)
 DC analysis
 AC analysis
6
Collector Characteristics Base Characteristics
Common-Emitter Characteristics
7
Features of Common Emitter
 High voltage gain
 High current gain
 Medium input impedance due to high
current gain
 High output impedance. For HF
capacitive loading will need to be
resonated reducing bandwidth.
 Bad HF & bandwidth as falling beta with
frequency reduces gain.
8
Input Impedance
IN
IN
IN
i
v
r 
iIN iB
iRB
Input impedance, rIN, is the ratio of the
small signal input voltage and the small
signal input current
BRBIN iii 
B
IN
RB
R
v
i 

mINC
B
gvi
i 
9
Input Impedance
iIN iB
iRB

mIN
B
IN
BRBIN
gv
R
v
iii 
m
B
mBIN
IN
IN
g
R
gRi
v
r


||
//1
1



10
Output Impedance
One way to measure rOUT is:
 Short the input to 0 V
 Output now looks like just rOUT
11
Output Impedance (cont)
00  CIN iv
Applying Kirchoff’s current law:
RCOUTOUTRCC iiiii  0
RC
OUT
C
RC
C
i
v
R
i
v

By Ohm’s law:
  CC
RC
OUT
OUT
OUT
OUT RR
i
v
i
v
r 
VCC
12
Capacitors
 Capacitor COUT is needed to remove
the d.c. component of the collector
voltage
 Capacitor CIN is needed to allow the
base voltage to be offset from 0V
 In both cases this is known as
coupling
 Both capacitors are chosen to look
like short circuits at operating
frequencies
 Their reactance will, however,
become significant at low frequencies
VCC
0 V
13
14
Frequency response
 Midband:
 The frequency range of interest for amplifiers
 Large capacitors can be treated as short circuit and small capacitors can be
treated as open circuit
 Gain is constant and can be obtained by small-signal analysis
 Low-frequency band:
 Gain drops at frequencies lower than fL
 Large capacitors can no longer be treated as short circuit
 The gain roll-off is mainly due to coupling and by-pass capacitors
 For calculation we use dominant pole approximation
○ If there is a dominant pole, the cutoff frequency is determined mainly by this pole.
 High-frequency band:
 Gain drops at frequencies higher than fH
 Small capacitors can no longer treated as open circuit
 The gain roll-off is mainly due to parasitic capacitances of the MOSFETs and
BJTs
Considering the effect of each
capacitor separately
Considering only Cc1:
15
Considering the effect of each
capacitor separately
Considering only CE:
16
By using Norton
equivalent circuit
Considering the effect of each
capacitor separately
Considering only Cc2:
17
Determining the lower 3-dB frequency
 Coupling and by-pass capacitors result in a high-pass frequency
response with three poles
 The lower 3-dB frequency is simply the highest-frequency pole
if the poles are sufficiently separated
 The highest-frequency pole is typically ωp2 due to the small
resistance of RE
 An approximation of the lower 3-dB frequency is given by
 Selecting values for the coupling and by-pass capacitors
 These capacitors are typically required for discrete amplifier designs
 CE is first determined to satisfy needed fL
 CC1 and CC2 are chosen such that poles are 5 to 10 times lower than fL
18
r
f
C
C
CC
10
2
1
2,1


Common Base (CB)
 Current gain of approximately 1 (alpha)
 Low input impedance
(due to low current gain)
 High output impedance
 High voltage gain
(if input impedance matched)
 Good HF & bandwidth as falling beta
with frequency matters less.
19
Common Collector (CC)
 Voltage gain of almost exactly 1
 High current gain
 High input impedance
(due to high current gain)
 Low output impedance (Good for
unknown loads)
 Good HF & bandwidth as falling beta
with frequency matters less.
20

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BJT CE

  • 2. Outline  BJT  Common Emitter ○ Determining quiescent conditions ○ Calculating small signal performance  Voltage Gain  Input Impedance  Output Impedance  Cut-off frequency  Common Collector  Common Base 2
  • 3. npn transistor simplified structure Note: Normally Emitter layer is heavily doped, Base layer is lightly doped and Collector layer has Moderate doping. B C E Schematic Symbol 3
  • 4. • Curve Tracer Provides a graph of the characteristic curves. • Digital multimeters (DMM) Some DMMs measure βDC or hfe. • Ohmmeter Transistor Testing 4
  • 5. Small signal models of bjt b e hoe hie hrevce hfeib vbe ib ic vce c e + _ + + _ _ h-parameter model Hybrid-π model 5
  • 6. Common Emitter (CE)  DC analysis  AC analysis 6
  • 7. Collector Characteristics Base Characteristics Common-Emitter Characteristics 7
  • 8. Features of Common Emitter  High voltage gain  High current gain  Medium input impedance due to high current gain  High output impedance. For HF capacitive loading will need to be resonated reducing bandwidth.  Bad HF & bandwidth as falling beta with frequency reduces gain. 8
  • 9. Input Impedance IN IN IN i v r  iIN iB iRB Input impedance, rIN, is the ratio of the small signal input voltage and the small signal input current BRBIN iii  B IN RB R v i   mINC B gvi i  9
  • 10. Input Impedance iIN iB iRB  mIN B IN BRBIN gv R v iii  m B mBIN IN IN g R gRi v r   || //1 1    10
  • 11. Output Impedance One way to measure rOUT is:  Short the input to 0 V  Output now looks like just rOUT 11
  • 12. Output Impedance (cont) 00  CIN iv Applying Kirchoff’s current law: RCOUTOUTRCC iiiii  0 RC OUT C RC C i v R i v  By Ohm’s law:   CC RC OUT OUT OUT OUT RR i v i v r  VCC 12
  • 13. Capacitors  Capacitor COUT is needed to remove the d.c. component of the collector voltage  Capacitor CIN is needed to allow the base voltage to be offset from 0V  In both cases this is known as coupling  Both capacitors are chosen to look like short circuits at operating frequencies  Their reactance will, however, become significant at low frequencies VCC 0 V 13
  • 14. 14 Frequency response  Midband:  The frequency range of interest for amplifiers  Large capacitors can be treated as short circuit and small capacitors can be treated as open circuit  Gain is constant and can be obtained by small-signal analysis  Low-frequency band:  Gain drops at frequencies lower than fL  Large capacitors can no longer be treated as short circuit  The gain roll-off is mainly due to coupling and by-pass capacitors  For calculation we use dominant pole approximation ○ If there is a dominant pole, the cutoff frequency is determined mainly by this pole.  High-frequency band:  Gain drops at frequencies higher than fH  Small capacitors can no longer treated as open circuit  The gain roll-off is mainly due to parasitic capacitances of the MOSFETs and BJTs
  • 15. Considering the effect of each capacitor separately Considering only Cc1: 15
  • 16. Considering the effect of each capacitor separately Considering only CE: 16 By using Norton equivalent circuit
  • 17. Considering the effect of each capacitor separately Considering only Cc2: 17
  • 18. Determining the lower 3-dB frequency  Coupling and by-pass capacitors result in a high-pass frequency response with three poles  The lower 3-dB frequency is simply the highest-frequency pole if the poles are sufficiently separated  The highest-frequency pole is typically ωp2 due to the small resistance of RE  An approximation of the lower 3-dB frequency is given by  Selecting values for the coupling and by-pass capacitors  These capacitors are typically required for discrete amplifier designs  CE is first determined to satisfy needed fL  CC1 and CC2 are chosen such that poles are 5 to 10 times lower than fL 18 r f C C CC 10 2 1 2,1  
  • 19. Common Base (CB)  Current gain of approximately 1 (alpha)  Low input impedance (due to low current gain)  High output impedance  High voltage gain (if input impedance matched)  Good HF & bandwidth as falling beta with frequency matters less. 19
  • 20. Common Collector (CC)  Voltage gain of almost exactly 1  High current gain  High input impedance (due to high current gain)  Low output impedance (Good for unknown loads)  Good HF & bandwidth as falling beta with frequency matters less. 20