This chapter discusses FET amplifiers. It describes the common FET configurations including common-source, common-gate, and common-drain. It provides the small-signal models and defines terms like transconductance. It then gives the input and output impedances and voltage gain calculations for each configuration. Examples of biased circuits are also presented along with a troubleshooting guide.
2. Introduction
FETs provide:
Excellent voltage gain
High input impedance
Low-power consumption
Good frequency range
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
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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
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Robert L. Boylestad and Louis Nashelsky
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4. Graphical Determination of gm
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
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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
=
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
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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.
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
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7. FET AC Equivalent Circuit
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Robert L. Boylestad and Louis Nashelsky
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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
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Robert L. Boylestad and Louis Nashelsky
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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 = =
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Robert L. Boylestad and Louis Nashelsky
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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
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Robert L. Boylestad and Louis Nashelsky
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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
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Electronic Devices and Circuit Theory, 10/e
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12. Common-Source (CS) Self-Bias Circuit
Removing Cs affects
the gain of the circuit.
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
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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
+ +
= =
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Robert L. Boylestad and Louis Nashelsky
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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.
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Robert L. Boylestad and Louis Nashelsky
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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
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Robert L. Boylestad and Louis Nashelsky
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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.
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
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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
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Robert L. Boylestad and Louis Nashelsky
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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.
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
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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
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
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20. D-Type MOSFET AC Equivalent
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
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21. E-Type MOSFETAC Equivalent
gm and rd can be found in
the specification sheet for
the FET.
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
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22. Common-Source Drain-Feedback
There is a 180属 phase shift
between input and output.
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
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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
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
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24. Common-Source Voltage-Divider Bias
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
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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
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
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26. Summary Table
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Robert L. Boylestad and Louis Nashelsky
more
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27. Summary Table
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Robert L. Boylestad and Louis Nashelsky
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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
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Robert L. Boylestad and Louis Nashelsky
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29. Practical Applications
Three-Channel Audio Mixer
Silent Switching
Phase Shift Networks
Motion Detection System
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Electronic Devices and Circuit Theory, 10/e
Robert L. Boylestad and Louis Nashelsky
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