# Schaum's Outline of Electric Circuits, Seventh Edition

by: Mahmood Nahvi, Joseph A. Edminister

**Abstract:**Tough test questions? Missed lectures? Not enough time? Fortunately, there's Schaum's! More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. Schaum's reinforces the main concepts required in your course and offers hundreds of practice questions to help you succeed. Use Schaum's to shorten your study time and get your best test scores! Schaum's Outline of Electric Circuits, Seventh Edition, gives you: • 480 supplementary problems to reinforce knowledge • Two new sections on filter analysis and design • Information on circuit elements, theorems, behavior, and analysis techniques • Support for all major textbooks for courses in circuit analysis • Access to revised Schaums.com website with 25 problem-solving videos, and more

Full details

## Table of Contents

**A.**Preface**B.**About the Authors**1.**Introduction**2.**Circuit Concepts**3.**Circuit Laws**4.**Analysis Methods**5.**Amplifiers and Operational Amplifier Circuits**6.**Waveforms and Signals**7.**First-Order Circuits**8.**Higher-Order Circuits and Complex Frequency**9.**Sinusoidal Steady-State Circuit Analysis**10.**AC Power**11.**Polyphase Circuits**12.**Frequency Response, Filters, and Resonance**13.**Two-Port Networks**14.**Mutual Inductance and Transformers**15.**Circuit Analysis Using Spice and PSpice**16.**The Laplace Transform Method**17.**Fourier Method of Waveform Analysis**A.**Complex Number System**B.**Matrices and Determinants

## Tools & Media

## Expanded Table of Contents

**A.**Preface**B.**About the Authors**1.**Introduction**2.**Circuit Concepts**3.**Circuit Laws**4.**Analysis Methods- CHAPTER PRELIMINARIES
- The Branch Current Method
- The Mesh Current Method
- Matrices and Determinants
- The Node Voltage Method
- Network Reduction
- Input Resistance
- Output Resistance
- Transfer Resistance
- Reciprocity Property
- Superposition
- Thévenin's and Norton's Theorems
- Maximum Power Transfer Theorem
- Two-Terminal Resistive Circuits and Devices
- Interconnecting Two-Terminal Resistive Circuits
- Small-Signal Model of Nonlinear Resistive Devices
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS

**5.**Amplifiers and Operational Amplifier Circuits- CHAPTER PRELIMINARIES
- Amplifier Model
- Feedback in Amplifier Circuits
- Operational Amplifiers
- Analysis of Circuits Containing Ideal Op Amps
- Inverting Circuit
- Summing Circuit
- Noninverting Circuit
- Voltage Follower
- Differential and Difference Amplifiers
- Circuits Containing Several Op Amps
- Integrator and Differentiator Circuits
- Analog Computers
- Low-Pass Filter
- Decibel (dB)
- Real Op Amps
- A Simple Op Amp Model
- Comparator
- Flash Analog-to-Digital Converter
- Summary of Feedback in Op Amp Circuits
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS

**6.**Waveforms and Signals- CHAPTER PRELIMINARIES
- Introduction
- Periodic Functions
- Sinusoidal Functions
- Time Shift and Phase Shift
- Combinations of Periodic Functions
- The Average and Effective (RMS) Values
- Nonperiodic Functions
- The Unit Step Function
- The Unit Impulse Function
- The Exponential Function
- Damped Sinusoids
- Random Signals
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS

**7.**First-Order Circuits- CHAPTER PRELIMINARIES
- Introduction
- Capacitor Discharge in a Resistor
- Establishing a DC Voltage across a Capacitor
- The Source-Free RL Circuit
- Establishing a DC Current in an Inductor
- The Exponential Function Revisited
- Complex First-Order RL and RC Circuits
- DC Steady State in Inductors and Capacitors
- Transitions at Switching Time
- Response of First-Order Circuits to a Pulse
- Impulse Response of RC and RL Circuits
- Summary of Step and Impulse Responses in RC and RL Circuits
- Response of RC and RL Circuits to Sudden Exponential Excitations
- Response of RC and RL Circuits to Sudden Sinusoidal Excitations
- Summary of Forced Response in First-Order Circuits
- First-Order Active Circuits
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS

**8.**Higher-Order Circuits and Complex Frequency- CHAPTER PRELIMINARIES
- Introduction
- Series RLC Circuit
- Parallel RLC Circuit
- Two-Mesh Circuit
- Complex Frequency
- Generalized Impedance (R, L, C) in s-Domain
- Network Function and Pole-Zero Plots
- The Forced Response
- The Natural Response
- Magnitude and Frequency Scaling
- Higher-Order Active Circuits
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS

**9.**Sinusoidal Steady-State Circuit Analysis**10.**AC Power- CHAPTER PRELIMINARIES
- Power in the Time Domain
- Power in Sinusoidal Steady State
- Average or Real Power
- Reactive Power
- Summary of AC Power in R, L, and C
- Exchange of Energy between an Inductor and a Capacitor
- Complex Power, Apparent Power, and Power Triangle
- Parallel-Connected Networks
- Power Factor Improvement
- Maximum Power Transfer
- Superposition of Average Powers
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS

**11.**Polyphase Circuits- CHAPTER PRELIMINARIES
- Introduction
- Two-Phase Systems
- Three-Phase Systems
- Wye and Delta Systems
- Phasor Voltages
- Balanced Delta-Connected Load
- Balanced Four-Wire, Wye-Connected Load
- Equivalent Y- and Δ-Connections
- Single-Line Equivalent Circuit for Balanced Three-Phase Loads
- Unbalanced Delta-Connected Load
- Unbalanced Wye-Connected Load
- Three-Phase Power
- Power Measurement and the Two-Wattmeter Method
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS

**12.**Frequency Response, Filters, and Resonance- CHAPTER PRELIMINARIES
- Frequency Response
- High-Pass and Low-Pass Networks
- Half-Power Frequencies
- Generalized Two-Port, Two-Element Networks
- The Frequency Response and Network Functions
- Frequency Response from Pole-Zero Location
- Ideal and Practical Filters
- Passive and Active Filters
- Bandpass Filters and Resonance
- Natural Frequency and Damping Ratio
- RLC Series Circuit; Series Resonance
- Quality Factor
- RLC Parallel Circuit; Parallel Resonance
- Practical LC Parallel Circuit
- Series-Parallel Conversions
- Polar Plots and Locus Diagrams
- Bode Diagrams
- Special Features of Bode Plots
- First-Order Filters
- Second-Order Filters
- Filter Specifications; Bandwidth, Delay, and Rise Time
- Filter Approximations: Butterworth Filters
- Filter Design
- Frequency Scaling and Filter Transformation
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS

**13.**Two-Port Networks- CHAPTER PRELIMINARIES
- Terminals and Ports
- Z-Parameters
- T-Equivalent of Reciprocal Networks
- Y-Parameters
- Pi-Equivalent of Reciprocal Networks
- Application of Terminal Characteristics
- Conversion between Z- and Y-Parameters
- h-Parameters
- g-Parameters
- Transmission Parameters
- Interconnecting Two-Port Networks
- Choice of Parameter Type
- Summary of Terminal Parameters and Conversion
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS

**14.**Mutual Inductance and Transformers**15.**Circuit Analysis Using Spice and PSpice- CHAPTER PRELIMINARIES
- Spice and PSpice
- Circuit Description
- Dissecting a Spice Source File
- Data Statements and DC Analysis
- Control and Output Statements in DC Analysis
- Thévenin Equivalent
- Subcircuit
- Op Amp Circuits
- AC Steady State and Frequency Response
- Mutual Inductance and Transformers
- Modeling Devices with Varying Parameters
- Time Response and Transient Analysis
- Specifying Other Types of Sources
- Summary
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS

**16.**The Laplace Transform Method**17.**Fourier Method of Waveform Analysis- CHAPTER PRELIMINARIES
- Introduction
- Trigonometric Fourier Series
- Exponential Fourier Series
- Waveform Symmetry
- Line Spectrum
- Waveform Synthesis
- Effective Values and Power
- Applications in Circuit Analysis
- Fourier Transform of Nonperiodic Waveforms
- Properties of the Fourier Transform
- Continuous Spectrum
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS

**A.**Complex Number System**B.**Matrices and Determinants

**Book Details**

**Title: **Schaum's Outline of Electric Circuits, Seventh Edition

**Publisher: **McGraw-Hill Education: New York, Chicago, San Francisco, Athens, London, Madrid, Mexico City, Milan, New Delhi, Singapore, Sydney, Toronto

**Copyright / Pub. Date: **2018 McGraw-Hill Education

**ISBN: **9781260011968

**Authors:****Mahmood Nahvi**
is professor emeritus of electrical engineering at California Polytechnic State University in San Luis Obispo, California. He earned his B.Sc., M.Sc., and Ph.D., all in electrical engineering, and has 50 years of teaching and research in this field. Dr. Nahvi's areas of special interest and expertise include network theory, control theory, communications engineering, signal processing, neural networks, adaptive control and learning in synthetic and living systems, communication and control in the central nervous system, and engineering education. In the area of engineering education, he has developed computer modules for electric circuits, signals, and systems that improve teaching and learning of the fundamentals of electrical engineering. In addition, Dr. Nahvi is coauthor of Electromagnetics in Schaum's Outline Series, and the author of Signals and Systems, published by McGraw-Hill.
**Joseph A. Edminister**
is professor emeritus of electrical engineering at the University of Akron in Akron, Ohio, where he also served as assistant dean and acting dean of engineering. He was a member of the faculty from 1957 until his retirement in 1983. In 1984 he served on the staff of Congressman Dennis Eckart of Ohio on an IEEE Congressional Fellowship. Professor Edminster then joined Cornell University as a patent attorney and later as director of corporate relations for the College of Engineering until his retirement in 1995. He received his B.S.E.E. in 1957, his M.S.E. in 1960, and his J.D. in 1974, all from the University of Akron. Professor Edminister is a registered professional engineer in Ohio, a member of the bar in Ohio, and a registered patent attorney.

**Description: **
Tough test questions? Missed lectures? Not enough time? Fortunately, there's Schaum's!
More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.
Schaum's reinforces the main concepts required in your course and offers hundreds of practice questions to help you succeed. Use Schaum's to shorten your study time and get your best test scores!
Schaum's Outline of Electric Circuits, Seventh Edition, gives you:
• 480 supplementary problems to reinforce knowledge
• Two new sections on filter analysis and design
• Information on circuit elements, theorems, behavior, and analysis techniques
• Support for all major textbooks for courses in circuit analysis
• Access to revised Schaums.com website with 25 problem-solving videos, and more