Explain the math 6. The capacitor Cs is removed from the circuit in Figure 1New small-signal equivalent circuit:iinVgs9mVgsroRGVinVoutRDRS {VsRs modifies circuit substantially – it cannot be ignored now. Simplify analysis by neglectingr. (which we know to be big anyway). Simplified circuit is:linVgs9mVgsRGVoutRDVinRSVsV in = V +v,dudingto= m Sgs+Vaut -Us2Vout =-8mR,Vgs mv, = 8mRsV es- Comd ineVourG, =V inVgs + 8„RgV 1+ g„RsThe effect of Rş is to reduce the gain (undesirable). Detailed analysis shows that Rs developsnegative feedback in the circuit, and phenomenon is called source degeneration. Sometimesit is employed deliberately in small amounts to make circuits more stable and resistant tocomponent value variation. In the limit Rs → 0, then Gy = -gmRp as per the lecture notes.Numerically G, = -(1.72*5)/(1 + 1.72*6) = -0.76NB – for gmRs » 1, G, → Rp/Rs.

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Electrical Engineering

Explain the math

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

Explain the math

6. The capacitor Cs is removed from the circuit in Figure 1
New small-signal equivalent circuit:
iin
Vgs
9mVgs
ro
RG
Vin
Vout
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
RD
Vin
RS
Vs
V in = V +v,
dudingto= m Sgs+
Vaut -Us
2
Vout =-8mR,Vgs m
v, = 8mRsV es
- Comd ine
Vour
G, =
V in
Vgs + 8„RgV 1+ g„Rs
The effect of Rş 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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