electromagnetic fields · chapter two coulomb forces and electric field intensity reference :...

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Electromagnetic fields Dr. Alaa .H. Ali Reference : Engineering electromagnetic field : by hayt Chapter one Vector Analysis 1.1 Introduction Vector analysis is a mathematical subject which is much better taught by mathematicians than by engineers. Most junior and senior engineering students, however, have not had the time to take a course in vector analysis, although it is likely that many elementary vector concepts and operations were introduced in the calculus sequence. 1.2 vector notation

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Page 1: Electromagnetic fields · Chapter two Coulomb Forces and Electric Field Intensity Reference : Engineering electromagnetic field :by hayt 2.1 Coulomb’ s Law

Electromagnetic fields Dr. Alaa .H. Ali

Reference : Engineering electromagnetic field : by hayt

Chapter one

Vector Analysis

1.1 Introduction

Vector analysis is a mathematical subject which is much better taught by

mathematicians than by engineers. Most junior and senior engineering students, however,

have not had the time to take a course in vector analysis, although it is likely that many

elementary vector concepts and operations were introduced in the calculus sequence.

1.2 vector notation

Page 2: Electromagnetic fields · Chapter two Coulomb Forces and Electric Field Intensity Reference : Engineering electromagnetic field :by hayt 2.1 Coulomb’ s Law

1.3 Vector Algebra

1.4 Coordinate system

Page 3: Electromagnetic fields · Chapter two Coulomb Forces and Electric Field Intensity Reference : Engineering electromagnetic field :by hayt 2.1 Coulomb’ s Law

1.5 Differential Volume, Surface, And Line elements

Fig. 1.3

The Fig 1.3

Page 4: Electromagnetic fields · Chapter two Coulomb Forces and Electric Field Intensity Reference : Engineering electromagnetic field :by hayt 2.1 Coulomb’ s Law

Chapter two

Coulomb Forces and Electric Field

Intensity Reference : Engineering electromagnetic field :by hayt

2.1 Coulomb’s Law

Page 5: Electromagnetic fields · Chapter two Coulomb Forces and Electric Field Intensity Reference : Engineering electromagnetic field :by hayt 2.1 Coulomb’ s Law

2.2 Electric field intensity

,

Fig.2.2

2.3 Charge Distributions

Page 6: Electromagnetic fields · Chapter two Coulomb Forces and Electric Field Intensity Reference : Engineering electromagnetic field :by hayt 2.1 Coulomb’ s Law
Page 7: Electromagnetic fields · Chapter two Coulomb Forces and Electric Field Intensity Reference : Engineering electromagnetic field :by hayt 2.1 Coulomb’ s Law

(See fig 2.4)

Fig 2.4

2.4 Standard Charge Configurations

Example. 2.1

Page 8: Electromagnetic fields · Chapter two Coulomb Forces and Electric Field Intensity Reference : Engineering electromagnetic field :by hayt 2.1 Coulomb’ s Law

CHAPTER 3

Electric Flux and Gauss Law Reference : Engineering electromagnetic field :by hayt

3.1 Net Charge in a Region

3.2 Electric Flux and Flux Density

(Se

e fig 3.1)

Fig 3.1

Page 9: Electromagnetic fields · Chapter two Coulomb Forces and Electric Field Intensity Reference : Engineering electromagnetic field :by hayt 2.1 Coulomb’ s Law

3.3 Gauss’ Law

3.4 Relation between Flux Density and Electric Field Intensity

(See fig 3.2) if this is

Fig 3.2

Page 10: Electromagnetic fields · Chapter two Coulomb Forces and Electric Field Intensity Reference : Engineering electromagnetic field :by hayt 2.1 Coulomb’ s Law

CHAPTER 4

DIVERGENCE and DIVERGENCE THEOEM Reference : Engineering electromagnetic field :by hayt

4.1 divergence

4.2 Divergence in Cartesian coordinates

Page 11: Electromagnetic fields · Chapter two Coulomb Forces and Electric Field Intensity Reference : Engineering electromagnetic field :by hayt 2.1 Coulomb’ s Law

Example 4.1

Page 12: Electromagnetic fields · Chapter two Coulomb Forces and Electric Field Intensity Reference : Engineering electromagnetic field :by hayt 2.1 Coulomb’ s Law

4.3 Divergence of D

4.4 The DEL operator

4.5 The Divergence Theorem

Page 13: Electromagnetic fields · Chapter two Coulomb Forces and Electric Field Intensity Reference : Engineering electromagnetic field :by hayt 2.1 Coulomb’ s Law

CHAPTER 5

The Electrostatic Field: Work, Energy, and Potential

Reference : Engineering electromagnetic field :by hayt

.

Page 14: Electromagnetic fields · Chapter two Coulomb Forces and Electric Field Intensity Reference : Engineering electromagnetic field :by hayt 2.1 Coulomb’ s Law

.

Figure (5.3) shows two

Page 15: Electromagnetic fields · Chapter two Coulomb Forces and Electric Field Intensity Reference : Engineering electromagnetic field :by hayt 2.1 Coulomb’ s Law

Fig (5.3)