EE 319 • Midterm • Engineering Electromagnetics

Understanding Electromagnetism

The Electromagnetic Model

SI Units and Universal Constants

Summary

Introduction to Vector Analysis

Vector Addition and Subtraction

Vector Addition and Subtraction Example

Vector Multiplication

Vector Multiplication Example 1

Vector Multiplication Example 2

Vector Multiplication Example 3

Vector Multiplication Example 4

Cartesian Coordinates

Cylindrical Coordinates

Cylindrical Coordinates Example 1

Cylindrical Coordinates Example 2

Cylindrical Coordinates Example 3

Cylindrical Coordinates Example 4

Cylindrical Coordinates Example 5

Spherical Coordinates

Spherical Coordinates Example 1

Spherical Coordinates Example 2

Gradient of a Scalar Field

Gradient of a Scalar Field Example 1

Gradient of a Scalar Field Example 2

Gradient of a Scalar Field Example 3

Divergence of a Vector Field

Divergence of a Vector Field Example 1

Divergence of a Vector Field Example 2

Divergence of a Vector Field Example 3

Divergence Theorem

Divergence Theorem Example 1

Divergence Theorem Example 2

Curl of a Vector Field

Stoke's Theorem

Stoke's Theorem Example 1

Stoke's Theorem Example 2

Two Null Identities

Two Null Identities Example

Field Classification and Helmholtz's Theorem

Vector Analysis Review

Summary

Introduction to Static Electric Fields

Fundamental Postulates of Electrostatics in Free Space

Fundamental Postulates of Electrostatics in Free Space Example

Coulomb's Law

Coulomb's Law Example 1

Coulomb's Law Example 2

Coulomb's Law Example 3

Coulomb's Law(Ink-Jet Printers)

Electric Field Due To A System of Discrete Charges

Electric Field Due To A Continuous Distribution of Charges

Electric Field Due To A Continuous Distribution of Charges Example 1

Electric Field Due To A Continuous Distribution of Charges Example 2

Gauss's Law

Gauss's Law Example 1

Gauss's Law Example 2

Gauss's Law Example 3

Gauss's Law Example 4

Electric Potential

Electric Potential Example 1

Electric Potential Example 2

Electric Potential Due To A Charge Distribution

Summary

Material Media in Static Electric Field

Material Media in Static Electric Field Example

Electric Flux Density and Dielectric Constant 1

Electric Flux Density and Dielectric Constant 2

Electric Flux Density and Dielectric Constant 3

Boundary Conditions for Electrostatic Fields

Boundary Conditions for Electrostatic Fields 2

Boundary Conditions for Electrostatic Fields Example 1

Boundary Conditions for Electrostatic Fields Example 2

Boundary Conditions for Electrostatic Fields Example 3

Capacitances and Capacitors

Capacitances and Capacitors Example 1

Capacitances and Capacitors Example 2

Capacitances and Capacitors Example 3

Capacitances and Capacitors Example 4

Electrostatic Energy and Forces

Electrostatic Energy and Forces Example 1

Electrostatic Energy and Forces Example 2

Electrostatic Energy in Terms of Field Quantities

Electrostatic Forces

Poisson's and Laplace Equations

Poisson's and Laplace Equations Example 1

Poisson's and Laplace Equations Example 2

Summary

Introduction to Steady Electric Currents

Current Density and Ohm's Law 1

Current Density and Ohm's Law 2

Current Density and Ohm's Law Example

Equation of Continuity and Kirchhoff's Current Law

Power Dissipation and Joule's Law

Governing Equations for Steady Current Density

Governing Equations for Steady Current Density Review

Resistance Calculations

Resistance Calculations Example

Summary

Introduction to Static Magnetic Fields

Fundamental Postulates of Magnetostatics in Free Space

Fundamental Postulates of Magnetostatics in Free Space Example 1

Fundamental Postulates of Magnetostatics in Free Space Example 2

Vector Magnetic Potential

The Biot-Savart Law and Applications

The Biot-Savart Law and Applications Example

Magnetization and Equivalent Current Densities

Magnetization and Equivalent Current Densities Example

Behavior of Magnetic Materials

Boundary Conditions for Magnetostatic Fields

Inductances and Inductors

Inductances and Inductors Example

Magnetic Energy

Magnetic Forces and Torques

Magnetic Forces and Torques Example

Direct Current Motors

Forces and Torques in Terms of Stored Magnetic Energy

Chapter Summary

Total Charge Calculation from Volume Charge Density

Electric Field and Potential of Point Charges

Coulomb's Law, Electric Field, and Electric Potential

Application of Gauss's Law and Electric Potential (Spherical Symmetry)

Electrostatic Potential Energy of a Discrete Charge System

Application of Gauss's Law and Electric Potential (Spherical Symmetry)

Vector Calculus (Line Integrals, Curl, and Conservative Fields)

Capacitance and Dielectric Strength of Coaxial Cables

Gauss's Law in Dielectric Media (Cylindrical Symmetry)

Electric Field and Potential of Point Charges (Superposition Principle)

Electric Flux Density and Potential Gradient (Spherical Coordinates)

Steady Electric Currents, Conductivity, and Drift Velocity

Capacitance of Multi-Dielectric Capacitors and Boundary Conditions (Parallel Plate)

Capacitance of Multi-Dielectric Capacitors and Boundary Conditions (Parallel Plate)

Capacitance of Spherical Capacitors and Surface Charge Density

Capacitance of Multi-Dielectric Capacitors and Boundary Conditions (Parallel Plate)

Capacitance of Multi-Dielectric Capacitors and Boundary Conditions (Parallel Plate)

Steady Electric Currents, Conductivity, and Drift Velocity

Capacitance of Coaxial Cables and Electrostatic Energy Storage

Magnetic Fields of Steady Currents (Biot-Savart Law and Ampere's Law)

Steady Electric Currents (Contact Resistance and Potential in Conductive Media)

Steady Electric Currents (Ohm's Law, Conductivity, Power Dissipation, and Drift Velocity)