# Schaum's Outline of Electromagnetics, 4th Edition

by: Joseph A. Edminister, Mahmood Nahvi, PhD

**Abstract:**Fortunately, there's Schaum's. This all-in-one-package includes more than 350 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 20 detailed videos featuring instructors who explain the most commonly tested problems—it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible. 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. This Schaum's Outline gives you 351 fully solved problems, exercises to help you test your mastery of electromagnetics, and support for all the major textbooks for electromagnetic courses.

Full details

## Table of Contents

**A.**Preface**1.**The Subject of Electromagnetics**2.**Vector Analysis**3.**Electric Field**4.**Electric Flux**5.**Gradient, Divergence, Curl, and Laplacian**6.**Electrostatics: Work, Energy, and Potential**7.**Electric Current**8.**Capacitance and Dielectric Materials**9.**Laplace's Equation**10.**Magnetic Field and Boundary Conditions**11.**Forces and Torques in Magnetic Fields**12.**Inductance and Magnetic Circuits**13.**Time-Varying Fields and Maxwell's Equations**14.**Electromagnetic Waves**15.**Transmission Lines**16.**Waveguides**17.**Antennas**A.**Appendix

## Tools & Media

## Expanded Table of Contents

**A.**Preface**1.**The Subject of Electromagnetics- Historical Background
- Objectives of the Chapter
- Electric Charge
- Units
- Vectors
- Electrical Force, Field, Flux, and Potential
- Magnetic Force, Field, Flux, and Potential
- Electromagnetic Induction
- Mathematical Operators and Identities
- Maxwell's Equations
- Electromagnetic Waves
- Trajectory of a Sinusoidal Motion in Two Dimensions
- Wave Polarization
- Electromagnetic Spectrum
- Transmission Lines
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS
- ANSWERS TO SUPPLEMENTARY PROBLEMS
- SOME REFERENCES FOR HISTORICAL BACKGROUND

**2.**Vector Analysis**3.**Electric Field**4.**Electric Flux**5.**Gradient, Divergence, Curl, and Laplacian- Introduction
- Gradient
- The Del Operator
- The Del Operator and Gradient
- Divergence
- Expressions for Divergence in Coordinate Systems
- The Del Operator and Divergence
- Divergence of D
- The Divergence Theorem
- Curl
- Laplacian
- Summary of Vector Operations
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS
- ANSWERS TO SUPPLEMENTARY PROBLEMS

**6.**Electrostatics: Work, Energy, and Potential- Work Done in Moving a Point Charge
- Conservative Property of the Electrostatic Field
- Electric Potential between Two Points
- Potential of a Point Charge
- Potential of a Charge Distribution
- Relationship between E and V
- Energy in Static Electric Fields
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS
- ANSWERS TO SUPPLEMENTARY PROBLEMS

**7.**Electric Current**8.**Capacitance and Dielectric Materials**9.**Laplace's Equation- Introduction
- Poisson's Equation and Laplace's Equation
- Explicit Forms of Laplace's Equation
- Uniqueness Theorem
- Mean Value and Maximum Value Theorems
- Cartesian Solution in One Variable
- Cartesian Product Solution
- Cylindrical Product Solution
- Spherical Product Solution
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS
- ANSWERS TO SUPPLEMENTARY PROBLEMS

**10.**Magnetic Field and Boundary Conditions**11.**Forces and Torques in Magnetic Fields**12.**Inductance and Magnetic Circuits- Inductance
- Standard Conductor Configurations
- Faraday's Law and Self-Inductance
- Internal Inductance
- Mutual Inductance
- Magnetic Circuits
- The B-H Curve
- Ampère's Law for Magnetic Circuits
- Cores with Air Gaps
- Multiple Coils
- Parallel Magnetic Circuits
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS
- ANSWERS TO SUPPLEMENTARY PROBLEMS

**13.**Time-Varying Fields and Maxwell's Equations- Introduction
- Maxwell's Equations for Static Fields
- Faraday's Law and Lenz's Law
- Conductors' Motion in Time-Independent Fields
- Conductors' Motion in Time-Dependent Fields
- Displacement Current
- Ratio of Jc to JD
- Maxwell's Equations for Time-Varying Fields
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS
- ANSWERS TO SUPPLEMENTARY PROBLEMS

**14.**Electromagnetic Waves- Introduction
- Wave Equations
- Solutions in Cartesian Coordinates
- Plane Waves
- Solutions for Partially Conducting Media
- Solutions for Perfect Dielectrics
- Solutions for Good Conductors; Skin Depth
- Interface Conditions at Normal Incidence
- Oblique Incidence and Snell's Laws
- Perpendicular Polarization
- Parallel Polarization
- Standing Waves
- Power and the Poynting Vector
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS
- ANSWERS TO SUPPLEMENTARY PROBLEMS

**15.**Transmission Lines- Introduction
- Distributed Parameters
- Incremental Models
- Transmission Line Equation
- Sinusoidal Steady-State Excitation
- Sinusoidal Steady-State in Lossless Lines
- The Smith Chart
- Impedance Matching
- Single-Stub Matching
- Double-Stub Matching
- Impedance Measurement
- Transients in Lossless Lines
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS
- ANSWERS TO SUPPLEMENTARY PROBLEMS

**16.**Waveguides**17.**Antennas- Introduction
- Current Source and the E and H Fields
- Electric (Hertzian) Dipole Antenna
- Antenna Parameters
- Small Circular-Loop Antenna
- Finite-Length Dipole
- Monopole Antenna
- Self- and Mutual Impedances
- The Receiving Antenna
- Linear Arrays
- Reflectors
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS
- ANSWERS TO SUPPLEMENTARY PROBLEMS

**A.**Appendix

**Book Details**

**Title: **Schaum's Outline of Electromagnetics, 4th Edition

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

**Copyright / Pub. Date: **2014 McGraw-Hill Education

**ISBN: **9780071831475

**Authors:****Joseph A. Edminister**
is a Professor Emeritus of Electrical Engineering at the University of Akron in Ohio.
**Mahmood Nahvi, PhD**
is a Professor Emeritus of Electrical Engineering at California Polytechnic State University in San Luis Obispo, California.

**Description: **
Fortunately, there's Schaum's. This all-in-one-package includes more than 350 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 20 detailed videos featuring instructors who explain the most commonly tested problems—it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible.
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. This Schaum's Outline gives you 351 fully solved problems, exercises to help you test your mastery of electromagnetics, and support for all the major textbooks for electromagnetic courses.