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EE 230 Lecture 34 Spring 2010

# EE 230 Lecture 34 Spring 2010 - EE 230 Lecture 34 Small...

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EE 230 Lecture 34 Small Signal Models Small Signal Analysis

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Determine the small-signal Model for a MOSFET with W=10u, L=1u if operating with a quiescent gate-source voltage of 3V and a quiescent drain-source voltage of 8V. Assume uC OX =100E-4A/V 2 , V T =1V, and λ =0. Quiz 34
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Determine the small-signal Model for a MOSFET with W=10u, L=1u if operating with a quiescent gate-source voltage of 3V and a quiescent drain-source voltage of 8V. Assume uC OX =100E-4A/V 2 , V T =1V, and λ =0. Quiz 34 Solution: () OX GSQ T W μ CV V L m g =− DQ I O g λ = 4 10 1 2 10 3E - 3 1 m g = 0 O g =
Small-signal Operation of Nonlinear Circuits • Small-signal principles • Example Circuit • Small-Signal Models • Small-Signal Analysis of Nonlinear Circuits

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Solution for the example was based upon solving the nonlinear circuit for V OUT and then linear zing the solution by doing a Taylor’s series expansion Solution of nonlinear equations very involved with two or more nonlinear devices Taylor’s series linearization can get very tedious if multiple nonlinear devices are present Standard Approach to small-signal analysis of nonlinear networks 1. Solve nonlinear network 2. Linearize solution 1.Linearize nonlinear devices 2. Replace all devices with small-signal equivalent 3.Solve linear small-signal network Alternative Approach to small-signal analysis of nonlinear networks Review from Last Time:
Alternative Approach to small-signal analysis of nonlinear networks Must only develop linearized model once for any nonlinear device e.g. once for a MOSFET, once for a JFET, and once for a BJT Linearized model for nonlinear device termed “small-signal model” derivation of small-signal model for most nonlinear devices is less complicated than solving even one simple nonlinear circuit Solution of linear network much easier than solution of nonlinear network 1. Linearize nonlinear devices 2. Replace all devices with small-signal equivalent 3. Solve linear small-signal network Review from Last Time:

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Linearized nonlinear devices Review from Last Time:
Dc and small-signal equivalent elements Element ss equivalent dc equivalnet V DC V DC I DC I DC R R R dc Voltage Source dc Current Source Resistor V AC V AC ac Voltage Source ac Current Source I AC I AC Review from Last Time:

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Dc and small-signal equivalent elements Review from Last Time:
Dc and small-signal equivalent elements Review from Last Time:

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EE 230 Lecture 34 Spring 2010 - EE 230 Lecture 34 Small...

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