## Table of Contents

1. Basic Concepts

1.1 System of units

1.2 Basic quantities

1.3 Circuit elements

1.4 Summary

2. Resistive Circuits

2.1 Ohm’s law

2.2 Kirchhoff’s laws

2.3 Single-loop circuits

2.4 Single-node-pair circuits

2.5 Series and parallel resistor combinations

2.6 Circuits with series-parallel combinations of resistors

2.7 Wye-delta transformations

2.8 Circuits with dependent sources

2.9 Resistor technologies for electronic manufacturing

2.10 Application examples

2.11 Design examples

2.12 Summary

2.13 Typical resistive circuit problems found on the FE exam

3. Nodal and Loop Analysis Techniques

3.1 Nodal analysis

3.2 Loop analysis

3.3 Application example: Motor speed control

3.4 Design example for nodal analysis

3.5 Summary

3.6 Typical nodal or loop analysis problems found on the FE exam

4. Operational Amplifiers

4.1 Introduction to op-amps

4.2 Op-amp models

4.3 Fundamental op-amp circuits

4.4 Comparators

4.5 Application examples

4.6 Design examples

4.7 Summary

4.8 Typical op-amp problems found on the FE exam

5. Additional Analysis Techniques

5.1 Introduction

5.2 Superposition

5.3 Thévenin’s and Norton’s theorems

5.4 Maximum power transfer

5.5 Application example

5.6 Design examples

5.7 Summary

5.8 Typical problems found on the FE exam

6. Capacitance and Inductance

6.1 Capacitors

6.2 Inductors

6.3 Capacitor and inductor combinations

6.4 RC operational amplifier circuits

6.5 Application examples

6.6 Design examples

6.7 Summary

6.8 Typical capacitor and inductor problems found on the FE exam

7. First- and Second-Order Transient Circuits

7.1 Introduction

7.2 First-order circuits

7.3 Second-order circuits

7.4 Application examples

7.5 Design examples

7.6 Summary

7.7 Typical problems found on the FE exam

8. AC steady-state analysis

8.1 Sinusoids

8.2 Sinusoidal and complex forcing functions

8.3 Phasors

8.4 Phasor relationships for circuit elements

8.5 Impedance and admittance

8.6 Phasor diagrams

8.7 Basic phasor analysis using Kirchhoff’s laws

8.8 Phasor analysis techniques

8.9 AC steady-state application examples

8.10 RLC circuit phasor design examples

8.11 Summary

8.12 Typical AC steady-state problems found on the FE exam

9. Steady-State Power Analysis

9.1 Instantaneous power

9.2 Average power

9.3 Maximum average power transfer

9.4 Effective or rms values

9.5 The power factor

9.6 Complex power

9.7 Power factor correction

9.8 Single-phase three-wire circuits

9.9 Safety considerations

9.10 Application examples

9.11 Design examples

9.12 Summary

9.13 Typical power problems found on the FE exam

10. Magnetically Coupled Networks

10.1 Mutual inductance

10.2 Energy analysis

10.3 The ideal transformer

10.4 Transformer safety considerations

10.5 Transformer application examples

10.6 Transformer design examples

10.7 Summary

10.8 Typical transformer problems found on the FE exam

11. Polyphase Circuits

11.1 Three-phase circuits

11.2 Three-phase connections

11.3 Source/load connections

11.4 Power relationships

11.5 Three-phase power factor correction

11.6 Three-phase application examples

11.7 Three-phase design examples

11.8 Summary

11.9 Typical polyphase circuit problems found on the FE exam

12. Variable-frequency network performance

12.1 Variable frequency-response analysis

12.2 Sinusoidal frequency analysis

12.3 Resonant circuits

12.4 Scaling

12.5 Filter networks

12.6 Application examples

12.7 Design examples

12.8 Summary

12.9 Typical frequency response problems found on the FE exam

13. The Laplace Transform

13.1 Definition of the Laplace transform

13.2 Two important singularity functions

13.3 Transform pairs

13.4 Properties of the Laplace transform

13.5 Performing the inverse Laplace transform

13.6 Convolution integral

13.7 Initial-value and final-value theorems

13.8 Solving differential equations with Laplace transforms

13.9 Summary

13.10 Typical Laplace transform problems found on the FE exam

14. Application of the Laplace Transform to Circuit Analysis

14.1 Laplace circuit solutions

14.2 Circuit element models

14.3 Analysis techniques

14.4 Transfer function

14.5 Pole-zero plot/Bode plot connection

14.6 Steady-state response

14.7 Summary

14.8 Typical Laplace application problems found on the FE exam

15. Fourier Analysis Techniques

15.1 Fourier series

15.2 Fourier transform

15.3 Application example

15.4 Design examples

15.5 Summary

15.6 Typical Fourier problems found on the FE exam

16. Two-Port Networks

16.1 Admittance parameters

16.2 Impedance parameters

16.3 Hybrid parameters

16.4 Transmission parameters

16.5 Parameter conversions

16.6 Interconnection of two-ports

16.7 Summary

16.8 Typical two-port network problems found on the FE exam

17. Appendix: Complex numbers

17.1 Complex number representation

17.2 Mathematical operations

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## Authors

**J. David Irwin **is the Computer Engineering Department Head at Auburn University.

**R. Mark Nelms **is a Professor and former Department Head of Electrical and Computer Engineering at Auburn University. In 2004 he was named an IEEE Fellow for technical leadership and contributions to applied power electronics.