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A common-source amplifier is fed from a signal source having a resistance Rsig = 100 ka and has a load resistance R = 100 k2. The MOSFET has Cgs = 0.1 pF, Cgd = 50 fF, gm = 1 mA/V, and r, = 100 kQ. The total capacitance between the output node and ground is C = 0.1 pF. Find the midband gain.

A common-source amplifier is fed from a signal source having a resistance Rsig = 100 ka and has a load resistance R = 100 k2. The MOSFET has Cgs = 0.1 pF, Cgd = 50 fF, gm = 1 mA/V, and r, = 100 kQ. The total capacitance between the output node and ground is C = 0.1 pF. Find the midband gain.

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
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A common-source amplifier is fed from a signal source having a resistance Rsig = 100 ka and has a load resistance R = 100 k2. The MOSFET has Cgs = 0.1 pF, Cgd = 50 fF, gm = 1 mA/V, and r, = 100 kQ. The total capacitance between the output node and ground is C = 0.1 pF. %3D Find the midband gain.
Transcribed Image Text:A common-source amplifier is fed from a signal source having a resistance Rsig = 100 ka and has a load resistance R = 100 k2. The MOSFET has Cgs = 0.1 pF, Cgd = 50 fF, gm = 1 mA/V, and r, = 100 kQ. The total capacitance between the output node and ground is C = 0.1 pF. %3D Find the midband gain.
Expert Solution
Step 1

The small-signal equivalent circuit of the common source amplifier is shown below: 

Electrical Engineering homework question answer, step 1, image 1

On applying the K.C.L at the output, 

VoRL+Voro+gmVgs=0Vo1RL+1ro=-gmVgsVoVgs=-gm1RL+1roVoVgs=-gm(RLro)RL+roVoVin=-gm(RLro)RL+ro

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