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Chapter 8: 
FET Amplifiers
Introduction 
FETs provide: 
 Excellent voltage gain 
 High input impedance 
 Low-power consumption 
 Good frequency range 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
2
FET Small-Signal Model 
Transconductance 
The relationship of a change in ID to the corresponding change in 
VGS is called transconductance 
Transconductance is denoted gm and given by: 
D 
m 
I 
g 
 = 
GS 
V 
 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
3
Graphical Determination of gm 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
4
Mathematical Definitions of gm 
D 
I 
 
m V 
GS 
g 
 
= 
、 
・ヲ 
。 
DSS 
2I 
=  
「」 
GS 
m V 
P 
P 
V 
1 
V 
g 
DSS 
m0 V 
P 
2I 
g = 
。 
、 
Where VGS =0V 
・ヲ 
=  
「」 
GS 
m m0 V 
P 
V 
g g 1 
D 
DSS 
V 
GS 
1  = 
P 
I 
I 
V 
 
V 
 
I 
Where 
D 
DSS 
m0 
GS 
1 g g =  
m m0 I 
P 
g 
V 
  
=  
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
5
FET Impedance 
Input impedance: 
p 
Zi = 立 
Output Impedance: 
Z = r = 1 
o d y 
yos 
V 
where: 
 
d I GS 
V constant 
DS 
D 
V 
r = = 
 
yos= admittance parameter listed on FET specification sheets. 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
6
FET AC Equivalent Circuit 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
7
Common-Source (CS) Fixed-Bias Circuit 
The input is on the gate and the 
output is on the drain 
There is a 180属 phase shift 
between input and output 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
8
Calculations 
Input impedance: 
Zi = RG 
p Output p 
impedance: 
Zo = RD || rd 
Z R 
o D r  
10R 
d D 
 
Voltage gain: 
o 
A m d D 
g (r || R ) 
V 
v = =  
V 
i 
v g R 
rd 10RD m D 
o 
V 
i 
V 
A = =  
 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
9
Common-Source (CS) Self-Bias Circuit 
This is a common-source amplifier 
configuration, so the input is on the gate 
and the output is on the drain 
There is a 180属 phase shift between 
input and output 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
10
Calculations 
Input impedance: 
Z Zi = R 
RG 
p Output p 
impedance: 
Zo = rd || RD 
Z R 
o D r  
10R 
d D 
 
Voltage gain: 
Av = gm(rd || RD) 
Av =  
gmRD rd  
10RD Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
11
Common-Source (CS) Self-Bias Circuit 
Removing Cs affects 
the gain of the circuit. 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
12
Calculations 
Input impedance: 
Zi i = G 
RG 
Output impedance: 
Z R  
o D r 10R 
d D 
 
Voltage gain: 
Vo gmRD 
A = = 
 
R R 
D S 
d 
m S 
i 
v 
r 
V 1 g R 
+ 
+ + 
Vo o 
m gmRD 
D 
A r 10(R R ) 
v 1 g R d D S 
m S 
i 
g 
V 
 + + 
= =  
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
13
Common-Source (CS) Voltage-Divider Bias 
This is a common-source 
amplifier configuration, so the 
input is on the gate and the 
output is on the drain. 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
14
Impedances 
Input impedance: 
Zi = R1 || R2 
Output impedance: 
Zo = rd || RD 
Z R  
o D r 10R 
d D 
 
Voltage gain: 
Av = gm(rd || RD ) 
Av =  
gmRD rd  
10RD Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
15
Source Follower (Common-Drain) Circuit 
In a common-drain amplifier 
configuration, the input is on the 
gate, but the output is from the 
source. 
There is no phase shift between 
input and output. 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
16
Impedances 
Input impedance: 
Z Zi = R 
RG 
Output impedance: 
Z = r || R || 1 
m 
o d S g 
1 
Z R ||   
rd 10RS 
m 
o S g 
Voltage g (r || R ) 
m d S 
gain: 
= = 
v + 
1 g (r || R ) 
V 
o 
V 
A 
m d S 
i 
V 
A = = 
+ 
 v 1 g R d 
r 10 
m S 
m S 
o 
i 
g R 
V 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
17
Common-Gate (CG) Circuit 
The input is on the source 
and the output is on the 
drain. 
There is no phase shift 
between input and output. 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
18
Calculations 
Input impedance: 
、 
・ヲ 
。 
+ 
「」 
r + 
R 
= 
d D 
i S 1 g r 
m d 
Z R || 
1 
Z R ||   
rd 10RD 
m 
i S g 
Output impedance: 
Zo = RD || rd 
Voltage o D rd 10 Z  R  
、 
・ヲ 
。 
「 
」 
+ 
D 
R 
= = ヲ 
A d 
v = m D rd  
10RD g R 
m D 
gain: 
o 
r 
V 
A g R 
、 
・ヲ 
。 
+ 
「」 
D 
R 
d 
i 
v 
r 
1 
V 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
19
D-Type MOSFET AC Equivalent 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
20
E-Type MOSFETAC Equivalent 
gm and rd can be found in 
the specification sheet for 
the FET. 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
21
Common-Source Drain-Feedback 
There is a 180属 phase shift 
between input and output. 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
22
Calculations 
Input impedance: 
R r || R 
F d D 
1 g (r || R ) 
Z 
m d D 
i + 
+ 
= 
R ||R 10R 
F 
i 
R 
Z  
 
RF rd RD ,rd 10RD 
>> + 
1 g R 
m D 
Output impedance: 
p p 
Zo = RF || rd ||RD 
Zo  RD RF >>rd || RD , rd 10RF d D d D 
Voltage gain: 
Av = gm(RF || rd || RD ) 
Av  gmRD RF>>rd||RD,rd10RD 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
23
Common-Source Voltage-Divider Bias 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
24
Calculations 
Input impedance: 
Zi=R1|| R2 
O t Output t i d 
impedance: 
Zo = rd || RD 
Zo RD rd 10 Z  R  
Voltage gain: 
Av = gm(rd || RD) 
A  g R 
Av gmRD rd 10RD 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
25
Summary Table 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
more 
26
Summary Table 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
27
Troubleshooting 
Check the DC bias voltages: 
If not correct check power supply, resistors, FET. Also check to ensure 
that the coupling capacitor between amplifier stages is OK. 
. 
Check the AC voltages: 
If not correct check FET, capacitors and the loading effect of the next 
stage 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
28
Practical Applications 
Three-Channel Audio Mixer 
Silent Switching 
Phase Shift Networks 
Motion Detection System 
Copyright 息2009 by Pearson Education, Inc. 
Upper Saddle River, New Jersey 07458  All rights reserved. 
Electronic Devices and Circuit Theory, 10/e 
Robert L. Boylestad and Louis Nashelsky 
29

More Related Content

Electronic devices-and-circuit-theory-10th-ed-boylestad-chapter-8

  • 1. Chapter 8: FET Amplifiers
  • 2. Introduction FETs provide: Excellent voltage gain High input impedance Low-power consumption Good frequency range Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 2
  • 3. FET Small-Signal Model Transconductance The relationship of a change in ID to the corresponding change in VGS is called transconductance Transconductance is denoted gm and given by: D m I g = GS V Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 3
  • 4. Graphical Determination of gm Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 4
  • 5. Mathematical Definitions of gm D I m V GS g = 、 ・ヲ 。 DSS 2I = 「」 GS m V P P V 1 V g DSS m0 V P 2I g = 。 、 Where VGS =0V ・ヲ = 「」 GS m m0 V P V g g 1 D DSS V GS 1 = P I I V V I Where D DSS m0 GS 1 g g = m m0 I P g V = Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 5
  • 6. FET Impedance Input impedance: p Zi = 立 Output Impedance: Z = r = 1 o d y yos V where: d I GS V constant DS D V r = = yos= admittance parameter listed on FET specification sheets. Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 6
  • 7. FET AC Equivalent Circuit Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 7
  • 8. Common-Source (CS) Fixed-Bias Circuit The input is on the gate and the output is on the drain There is a 180属 phase shift between input and output Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 8
  • 9. Calculations Input impedance: Zi = RG p Output p impedance: Zo = RD || rd Z R o D r 10R d D Voltage gain: o A m d D g (r || R ) V v = = V i v g R rd 10RD m D o V i V A = = Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 9
  • 10. Common-Source (CS) Self-Bias Circuit This is a common-source amplifier configuration, so the input is on the gate and the output is on the drain There is a 180属 phase shift between input and output Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 10
  • 11. Calculations Input impedance: Z Zi = R RG p Output p impedance: Zo = rd || RD Z R o D r 10R d D Voltage gain: Av = gm(rd || RD) Av = gmRD rd 10RD Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 11
  • 12. Common-Source (CS) Self-Bias Circuit Removing Cs affects the gain of the circuit. Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 12
  • 13. Calculations Input impedance: Zi i = G RG Output impedance: Z R o D r 10R d D Voltage gain: Vo gmRD A = = R R D S d m S i v r V 1 g R + + + Vo o m gmRD D A r 10(R R ) v 1 g R d D S m S i g V + + = = Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 13
  • 14. Common-Source (CS) Voltage-Divider Bias This is a common-source amplifier configuration, so the input is on the gate and the output is on the drain. Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 14
  • 15. Impedances Input impedance: Zi = R1 || R2 Output impedance: Zo = rd || RD Z R o D r 10R d D Voltage gain: Av = gm(rd || RD ) Av = gmRD rd 10RD Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 15
  • 16. Source Follower (Common-Drain) Circuit In a common-drain amplifier configuration, the input is on the gate, but the output is from the source. There is no phase shift between input and output. Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 16
  • 17. Impedances Input impedance: Z Zi = R RG Output impedance: Z = r || R || 1 m o d S g 1 Z R || rd 10RS m o S g Voltage g (r || R ) m d S gain: = = v + 1 g (r || R ) V o V A m d S i V A = = + v 1 g R d r 10 m S m S o i g R V Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 17
  • 18. Common-Gate (CG) Circuit The input is on the source and the output is on the drain. There is no phase shift between input and output. Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 18
  • 19. Calculations Input impedance: 、 ・ヲ 。 + 「」 r + R = d D i S 1 g r m d Z R || 1 Z R || rd 10RD m i S g Output impedance: Zo = RD || rd Voltage o D rd 10 Z R 、 ・ヲ 。 「 」 + D R = = ヲ A d v = m D rd 10RD g R m D gain: o r V A g R 、 ・ヲ 。 + 「」 D R d i v r 1 V Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 19
  • 20. D-Type MOSFET AC Equivalent Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 20
  • 21. E-Type MOSFETAC Equivalent gm and rd can be found in the specification sheet for the FET. Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 21
  • 22. Common-Source Drain-Feedback There is a 180属 phase shift between input and output. Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 22
  • 23. Calculations Input impedance: R r || R F d D 1 g (r || R ) Z m d D i + + = R ||R 10R F i R Z RF rd RD ,rd 10RD >> + 1 g R m D Output impedance: p p Zo = RF || rd ||RD Zo RD RF >>rd || RD , rd 10RF d D d D Voltage gain: Av = gm(RF || rd || RD ) Av gmRD RF>>rd||RD,rd10RD Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 23
  • 24. Common-Source Voltage-Divider Bias Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 24
  • 25. Calculations Input impedance: Zi=R1|| R2 O t Output t i d impedance: Zo = rd || RD Zo RD rd 10 Z R Voltage gain: Av = gm(rd || RD) A g R Av gmRD rd 10RD Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 25
  • 26. Summary Table Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky more 26
  • 27. Summary Table Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 27
  • 28. Troubleshooting Check the DC bias voltages: If not correct check power supply, resistors, FET. Also check to ensure that the coupling capacitor between amplifier stages is OK. . Check the AC voltages: If not correct check FET, capacitors and the loading effect of the next stage Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 28
  • 29. Practical Applications Three-Channel Audio Mixer Silent Switching Phase Shift Networks Motion Detection System Copyright 息2009 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electronic Devices and Circuit Theory, 10/e Robert L. Boylestad and Louis Nashelsky 29