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Material marked with W W W appears on the Internet (please see Preface for details). Preface ......................................................................................... xvii Approach ............................................................................ xvii Overview ............................................................................ xix Course Organization ............................................................. xx Acknowledgments ................................................................ xxi c h a p t e r 1 The Circuit Abstraction ......................................... 3 1.1 The Power of Abstraction ...................................................... 3 1.2 The Lumped Circuit Abstraction ............................................. 5 1.3 The Lumped Matter Discipline ............................................... 9 1.4 Limitations of the Lumped Circuit Abstraction .......................... 13 1.5 Practical Two-Terminal Elements ............................................ 15 1.5.1 Batteries ................................................................ 16 1.5.2 Linear Resistors ...................................................... 18 1.5.3 Associated Variables Convention ............................... 25 1.6 Ideal Two-Terminal Elements ................................................ 29 1.6.1 Ideal Voltage Sources, Wires, and Resistors .................. 30 1.6.2 Element Laws ........................................................ 32 1.6.3 The Current Source Another Ideal Two-Terminal Element ................................................................ 33 1.7 Modeling Physical Elements ................................................... 36 1.8 Signal Representation ............................................................ 40 1.8.1 Analog Signals ....................................................... 41 1.8.2 Digital Signals Value Discretization ........................ 43 1.9 Summary and Exercises ......................................................... 46 c h a p t e r 2 Resistive Networks ............................................... 53 2.1 Terminology ........................................................................ 54 2.2 Kirchhoff’s Laws ................................................................... 55 2.2.1 K C L ................................................................... 56 2.2.2 KVL ..................................................................... 60 2.3 Circuit Analysis: Basic Method ............................................... 66 2.3.1 Single-Resistor Circuits ............................................ 67 2.3.2 Quick Intuitive Analysis of Single-Resistor Circuits ........ 70 2.3.3 Energy Conservation ............................................... 71 ix x C O N T E N T S 2.3.4 Voltage and Current Dividers ................................... 73 2.3.5 A More Complex Circuit ......................................... 84 2.4 Intuitive Method of Circuit Analysis: Series and Parallel Simplification ............................................................. 89 2.5 More Circuit Examples .......................................................... 95 2.6 Dependent Sources and the Control Concept ............................ 98 2.6.1 Circuits with Dependent Sources ............................... 102 W W W 2.7 A Formulation Suitable for a Computer Solution ....................... 107 2.8 Summary and Exercises ......................................................... 108 c h a p t e r 3 Network Theorems .............................................. 119 3.1 Introduction ........................................................................ 119 3.2 The Node Voltage ................................................................ 119 3.3 The Node Method ................................................................ 125 3.3.1 Node Method: A Second Example ............................. 130 3.3.2 Floating Independent Voltage Sources ......................... 135 3.3.3 Dependent Sources and the Node Method ................... 139 W W W 3.3.4 The Conductance and Source Matrices ........................ 145 W W W 3.4 Loop Method ...................................................................... 145 3.5 Superposition ....................................................................... 145 3.5.1 Superposition Rules for Dependent Sources .................. 153 3.6 Thévenin’s Theorem and Norton’s Theorem ............................ 157 3.6.1 The Thévenin Equivalent Network ............................ 157 3.6.2 The Norton Equivalent Network ............................... 167 3.6.3 More Examples ...................................................... 171 3.7 Summary and Exercises ......................................................... 177 c h a p t e r 4 Analysis of Nonlinear Circuits ................................ 193 4.1 Introduction to Nonlinear Elements ........................................ 193 4.2 Analytical Solutions .............................................................. 197 4.3 Graphical Analysis ................................................................ 203 4.4 Piecewise Linear Analysis ....................................................... 206 W W W 4.4.1 Improved Piecewise Linear Models for Nonlinear Elements ............................................................... 214 4.5 Incremental Analysis ............................................................. 214 4.6 Summary and Exercises ......................................................... 229 c h a p t e r 5 The Digital Abstraction .......................................... 243 5.1 Voltage Levels and the Static Discipline .................................... 245 5.2 Boolean Logic ...................................................................... 256 5.3 Combinational Gates ............................................................ 258 5.4 Standard Sum-of-Products Representation ................................ 261 5.5 Simplifying Logic Expressions ................................................ 262 C O N T E N T S xi 5.6 Number Representation ......................................................... 267 5.7 Summary and Exercises ......................................................... 274 c h a p t e r 6 The MOSFET Switch ........................................... 285 6.1 The Switch .......................................................................... 285 6.2 Logic Functions Using Switches .............................................. 288 6.3 The MOSFET Device and Its S Model ..................................... 288 6.4 MOSFET Switch Implementation of Logic Gates ...................... 291 6.5 Static Analysis Using the S Model ........................................... 296 6.6 The SR Model of the MOSFET .............................................. 300 6.7 Physical Structure of the MOSFET .......................................... 301 6.8 Static Analysis Using the SR Model ......................................... 306 6.8.1 Static Analysis of the NAND Gate Using the SR Model .............................................................. 311 6.9 Signal Restoration, Gain, and Nonlinearity ............................... 314 6.9.1 Signal Restoration and Gain ..................................... 314 6.9.2 Signal Restoration and Nonlinearity ........................... 317 6.9.3 Buffer Transfer Characteristics and the Static Discipline .............................................................. 318 6.9.4 Inverter Transfer Characteristics and the Static Discipline .............................................................. 319 6.10 Power Consumption in Logic Gates ........................................ 320 W W W 6.11 Active Pullups ...................................................................... 321 6.12 Summary and Exercises ......................................................... 322 c h a p t e r 7 The MOSFET Amplifier ........................................ 331 7.1 Signal Amplification .............................................................. 331 7.2 Review of Dependent Sources ................................................ 332 7.3 Actual MOSFET Characteristics .............................................. 335 7.4 The Switch-Current Source (SCS) MOSFET Model ................... 340 7.5 The MOSFET Amplifier ........................................................ 344 7.5.1 Biasing the MOSFET Amplifier ................................. 349 7.5.2 The Amplifier Abstraction and the Saturation Discipline .............................................................. 352 7.6 Large-Signal Analysis of the MOSFET Amplifier ....................... 353 7.6.1 vIN Versus vOUT in the Saturation Region ................... 353 7.6.2 Valid Input and Output Voltage Ranges ..................... 356 7.6.3 Alternative Method for Valid Input and Output Voltage Ranges ....................................................... 363 7.7 Operating Point Selection ...................................................... 365 7.8 Switch Unified (SU) MOSFET Model ...................................... 386 7.9 Summary and Exercises ......................................................... 389 xii C O N T E N T S c h a p t e r 8 The Small-Signal Model ......................................... 405 8.1 Overview of the Nonlinear MOSFET Amplifier ......................... 405 8.2 The Small-Signal Model ......................................................... 405 8.2.1 Small-Signal Circuit Representation ........................... 413 8.2.2 Small-Signal Circuit for the MOSFET Amplifier ........... 418 8.2.3 Selecting an Operating Point ..................................... 420 8.2.4 Input and Output Resistance, Current and Power Gain ........................................................... 423 ..................... `
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