ro (which We RHOW in Vgs 9mVgs RG Vout RD Vin RS Vs Vin =Vgs + v, ndudingco Vout-Us 2 Vouu =ー8mR v, = 8mRsV gs -Comd imue V out G = Vin Vgs + 8mRsV es 1+ g„Rs The effect of Rs is to reduce the gain (undesirable). Detailed analysis shows that Rs develops negative feedback in the circuit, and phenomenon is called source degeneration. Sometimes it is employed deliberately in small amounts to make circuits more stable and resistant to component value variation. In the limit Rs → 0, then Gy = -gmRp as per the lecture notes. Numerically G, = -(1.72*5)/(1 + 1.72*6) = -0.76 NB - for gmRs >> 1, G, →Rp/Rs.

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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6. The capacitor Cs is removed from the circuit in Figure 1. Derive a new expression for
the voltage gaiìn and determine its numerical value.
VDD
VDD = 3 V
R1 = 4k
S RD
R1
R2 = 5k
C2
C1
M1
out
RD = 5k
in HH
RS = 6k
Rext 20k
Rext
Cs
R2
RS
ov
Figure 1
VDD
VDD = 3 V
R1 = 4k
R1 3
R2 = 6k
C1
RS = 1k
M1
in HE
C2
out
R2
RS
Rexd
ov
Figure 2
VDD = 2 V
VSS = 0 V
RD2 = 4k
RD1
RD2
RS2 = 6k
R12
M2
R1 = 4k
M1
R2 = 4k
RD1 = 4k
VOUT
V1
RS1 = 4k
VIN
R2
RS12 CS1=
RS2
Cs2
Figure 3
VDD = 2 V
RS2 = 6k
VDD
VSS = 0 V
RI = 4k
R2 = 4k
SRD1
R1
M2
Vin
M1
RD1 = 4k
but
RS1 = 4k
Vout
R2
{ RS1 Tcs RS2'
Vss = 0 V
Figure 4
Transcribed Image Text:6. The capacitor Cs is removed from the circuit in Figure 1. Derive a new expression for the voltage gaiìn and determine its numerical value. VDD VDD = 3 V R1 = 4k S RD R1 R2 = 5k C2 C1 M1 out RD = 5k in HH RS = 6k Rext 20k Rext Cs R2 RS ov Figure 1 VDD VDD = 3 V R1 = 4k R1 3 R2 = 6k C1 RS = 1k M1 in HE C2 out R2 RS Rexd ov Figure 2 VDD = 2 V VSS = 0 V RD2 = 4k RD1 RD2 RS2 = 6k R12 M2 R1 = 4k M1 R2 = 4k RD1 = 4k VOUT V1 RS1 = 4k VIN R2 RS12 CS1= RS2 Cs2 Figure 3 VDD = 2 V RS2 = 6k VDD VSS = 0 V RI = 4k R2 = 4k SRD1 R1 M2 Vin M1 RD1 = 4k but RS1 = 4k Vout R2 { RS1 Tcs RS2' Vss = 0 V Figure 4
6. The capacitor Cs is removed from the circuit in Figure 1
New small-signal equivalent circuit:
iin
Vgs
gmVgs
RG
Vout
Vin
RD
RS
Vs
Rs modifies circuit substantially – it cannot be ignored now. Simplify analysis by neglecting
r. (which we know to be big anyway). Simplified circuit is:
lin
Vgs
9mVgs
RG
Vout
Vin
: RD
RS {
Vs
Vin =Vgs + v,
in dudiny to 05 m gs+ Dout -Us
Vout =-8mR,V gs
v, = 8mRsV gs
-Coml imue
Vout
G =
V in
%3D
Ves + 8mRsV es 1+ 8„Rs
The effect of Rs is to reduce the gain (undesirable). Detailed analysis shows that Rs develops
negative feedback in the circuit, and phenomenon is called source degeneration. Sometimes
it is employed deliberately in small amounts to make circuits more stable and resistant to
component value variation. In the limit Rs → 0, then Gy = -gmRp as per the lecture notes.
Numerically G, = -(1.72*5)/(1 + 1.72*6) = -0.76
NB – for gmRs >> 1, G, → Rp/Rs.
Transcribed Image Text:6. The capacitor Cs is removed from the circuit in Figure 1 New small-signal equivalent circuit: iin Vgs gmVgs RG Vout Vin RD RS Vs Rs modifies circuit substantially – it cannot be ignored now. Simplify analysis by neglecting r. (which we know to be big anyway). Simplified circuit is: lin Vgs 9mVgs RG Vout Vin : RD RS { Vs Vin =Vgs + v, in dudiny to 05 m gs+ Dout -Us Vout =-8mR,V gs v, = 8mRsV gs -Coml imue Vout G = V in %3D Ves + 8mRsV es 1+ 8„Rs The effect of Rs is to reduce the gain (undesirable). Detailed analysis shows that Rs develops negative feedback in the circuit, and phenomenon is called source degeneration. Sometimes it is employed deliberately in small amounts to make circuits more stable and resistant to component value variation. In the limit Rs → 0, then Gy = -gmRp as per the lecture notes. Numerically G, = -(1.72*5)/(1 + 1.72*6) = -0.76 NB – for gmRs >> 1, G, → Rp/Rs.
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