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Explain the math

Explain the math

Introductory Circuit Analysis (13th Edition)
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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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.
Transcribed Image Text: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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