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Electronic Devices and Circuit Theory
Boylestad
FET Amplifiers
Chapter 8
Ch.8 Summary
Introduction
FETs provide:
• Excellent voltage gain
• High input impedance
• Low-power consumption
• Good frequency response
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
FET Small-Signal Model
Transconductance: The ratio of a change in ID to
the corresponding change in VGS
• Transconductance is denoted gm and given by:
ΔID
gm 
ΔV GS
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Geographical Determination of gm
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Mathematical Definitions of gm
gm 
ΔID
ΔVGS
2I
g m  DSS
VP
 VGS 
1 

V
P 

For VGS = 0 V
g m0 
2I DSS
VP
Electronic Devices and Circuit Theory
Boylestad
 VGS 
ID
g m  g m0 1 

g
m0

V
IDSS
P 

© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
FET Impedence
Input impedance:
Zi   Ω
Output Impedance:
1
Zo  rd 
y os
where
rd

ΔVDS
ΔID
VGS  constant
yos= admittance parameter listed on FET spec sheets
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
FET AC Equivalent Circuit
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Common-Source (CS) Fixed-Bias
The input is applied to the gate and
the output is taken from the drain
There is a 180 phase shift between
the circuit input and output
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Calculations
Input impedance:
Zi  RG
Output impedance:
Zo  RD||rd
Zo  RD
rd 10 RD
Voltage gain:
Av 
Av 
Vo
 g m (rd||R D )
Vi
Vo
 g m RD
Vi
Electronic Devices and Circuit Theory
Boylestad
rd 10 RD
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Common-Source (CS) Self-Bias
This is a common-source amplifier
configuration, so the input is applied
to the gate and the output is taken
from the drain.
There is a 180 phase shift
between input and output.
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Calculations
Input impedance:
Zi  RG
Output impedance:
Zo  rd||RD
Zo  RD
rd 10 RD
Voltage gain:
Av  g m (rd||RD )
Av  g mRD
rd 10 RD
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Common-Source (CS) Self-Bias
Removing Cs affects
the gain of the circuit.
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Calculations
Input impedance:
Zi  RG
Output impedance:
Zo  RD
rd 10 RD
Voltage gain:
Vo
g m RD

R  RS
Vi
1  g m RS  D
rd
V
g R
Av  o   m D rd 10 ( RD RS )
Vi
1  g m RS
Av 
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Common-Source (CS)
Voltage-Divider Bias
This is a common-source
amplifier configuration, so the
input is applied to the gate and
the output is taken from the
drain.
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Impedances
Input impedance:
Zi  R1 ||R2
Output impedance:
Zo  rd ||RD
Zo  RD
rd 10 RD
Voltage gain:
Av  g m (rd||RD )
Av  g mRD
rd 10 RD
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Source Follower (Common-Drain)
In a common-drain amplifier
configuration, the input is applied
to the gate, but the output is taken
from the source.
There is no phase shift between
input and output.
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Impedances
Input impedance:
Zi  RG
Output impedance:
Zo  rd ||RS ||
Zo  RS ||
1
gm
1
gm
rd 10 RS
Voltage gain:
Av 
Vo
g m (rd ||RS )

Vi 1  g m (rd ||RS )
Electronic Devices and Circuit Theory
Boylestad
Av 
Vo
g mRS

Vi 1  g mRS
rd 10
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Common-Gate (CG) Circuit
The input is applied to the
source and the output is
taken from the drain.
There is no phase shift
between input and output.
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Calculations
Input impedance:
 r  RD 
Zi  RS || d

1

g
r
m d 

1
Zi  RS ||
r 10 RD
gm d
Output impedance:
Zo  RD ||rd
Zo  RD
rd 10
Voltage gain:
Electronic Devices and Circuit Theory
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
RD 
g mRD  r 
V
d 
Av  o  
Vi
 RD 
1  r 
d 

Av  g m RD
rd 10 RD
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
D-Type MOSFET AC Equivalent
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
E-Type MOSFET AC Equivalent
gm and rd can be
found in the
specification sheet
for the FET.
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Common-Source Drain-Feedback
There is a 180 phase shift
between input and output.
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Calculations
Input impedance:
Zi 
Zi 
RF  rd ||R D
1  g m (rd ||R D )
RF
1  g m RD
RF  rd ||R D ,rd 10 RD
Output impedance:
Zo  RF||rd ||R D
Zo  RD
RF  rd ||R D ,rd 10 RD
Voltage gain:
Electronic Devices and Circuit Theory
Boylestad
Av  g m (RF||rd ||RD )
Av  g mRD
RF rd ||RD, rd 10 RD
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Common-Source Voltage-Divider Bias
The input is applied to the gate and
the output is taken from the drain.
There is a 180º voltage phase
shift between input and output.
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Calculations
Input impedance:
Z i R1||R2
Output impedance:
Zo  rd ||RD
Zo  RD
rd 10
Voltage gain:
Electronic Devices and Circuit Theory
Boylestad
Av  g m (rd ||RD )
Av  g m RD
rd 10 RD
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Summary Table
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Summary Table
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Summary Table
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
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
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
Ch.8 Summary
Practical Applications
• Three-Channel Audio Mixer
• Silent Switching
• Phase Shift Networks
• Motion Detection System
Electronic Devices and Circuit Theory
Boylestad
© 2013 by Pearson Higher Education, Inc
Upper Saddle River, New Jersey 07458 • All Rights Reserved
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