Electromagnetic Field Theory

725 Pages·2009·19.3 MB·English

by  U A Bakshi

Preface.

The importance of Electromagnetic Field Theory is well known in vorious
‘engineering fields. Qverwhaleing response 10 eur books on various subjects inspired us to
write this book. The book is simciured fo cover the key aspects of the subject
Electromagnetic Field Theory.

The book uses plain, lucid language fo explain fundamentals of this subject. The book
provides logical method of explaining various complicated cancapls and stepwise methods
to exploin the important topics. Each chapier és well supporied with necessary illustrations,
practical examples and solved problems. All chapiers in this book are arranged in © proper
sequence thot permits each topic ta build upon eartior studies. All core hos been token to
moke students comforioble in understanding the bosic concepts of the subject.

The book not anly covers the entire scope of the subject but emlaine the philosophy of
the subject. This makes the understanding of this subject more clear end mekes it mere
Inleresting, The hook will he very useful not only fo the students fut also to the. subject
teachers. The students have to omit nothing ond possibly have to cover nothing more.

We wish to express our profound thanks fo all those who helped in moking this book
cealiy. Much needed moral suppart ond encouragement is provided on numerous
cveeasions by our whole forcily. We wish to thank the Publisher ond the entire team of
fomily Technical Publications wha. hava takan inmense pain to get this book in fime with
avolty prining.

‘Any suggestion for the improvement of the book will be acknowledged ond wall
oppreciated.
S llabus [Electromagnetic Field Theory] "

Unit-t_cerspter-0
Co-ordinate Systems and Transformation : Cartesian co-ordinates, Circular cynical
co-nrdinates, Spherical co-ordinates.

Vostar Calculus : Diferantal langih, Area end volume, Line surface and volume integrals, Del
‘operator, Gradient of a scalar, Divergence ofa vector and divergence theorem, Curl of e vector ond
‘Stoke's theorem, Laplocian of a scalar.

Unit TT (eaapters-2,3.445

Hloctrostofics : Electrostatic fields, Coulombs law and field intensify Flecric field due to chorge
istibuiion, Electric Tx density, Gouss’ law - Mawrells equation, Electric dipole and fx lines,
Eneray dansity in elecrosttic elds,

Hleciric Field in Matorial Spoce : Properties of moterial, Convection ond conduction currents,
Conductors, Polarization in dialectics, Dielacic constonfs, Confiuity equation and relaxelion fie,
Sioundary condition

Elecirostafic Boundary Valve Problems : Poissons ond Loplucs’s equations, General procedures
{or seling Poissar's or Laplace's equations, Resistance ond copacitones, Method of image

‘Unit-1i1_cctmpters- 7,9)

‘Mognetostatics : Mognetottaic fields, Biot-Sayar’s low, Ampere's circu! low, Maxwells equation,
Aaplication otampere's low, Magnetic lux density - Moxoells equation, Maacvel’s equation for stakc
fields, magnetic scalar and vector potential.

Magnetic Forces, Materials ond Davicas : Forces due to mognelic field, Magnetic torque and
moment, A rragnetic dipele, Magnetization in materials, Magnetic boundory conditions, Inductors
dnd inductances, Magnetic energy.

Unit-L¥ ¢cespier-9,10)

Waves ond Applications : Moxvells equstion, Foradays lov, Transformer ond motional
electromotive forces, Displacement currert, Marwelts equotion in tnol form.

Electromognetic Wave Propagation : Wave propagation in lossy dielectrics, Plane wavas. in
lossless divlecries, Plane wave in free epace, Plone waves in geod conductor, Power and the
Poynting vector. Reflection of a plane wens in a normal incidence.

Unit-V ecrsprer -19
‘Trensmission Lines : Transmission line parometers, Teonsmission lina aquotions, Input impedance,
Standing wove ratio und power, The Smith chort, Some applications of iransmission lines.

Co)
Table of Contents

Chapter Vector Analysis (tsyto(t-74)
Chapter-2 Ecc Fel intority 2-1)1002-54)
Chaptac-3_ Elec Fx Denaty ad Gauss Law G-1100- 64)
[Chapler—4 Energy ard Potertit (4-1) 4-58)
[Ghapter= Contuclrs, Deets and Capactanwe 6-1110(5- 64)
[Chepler=6 Poisson's and Laplace's Equation {6-No-25)
Shapker=7 __ Mamneloctatios Gog 72)
[Chepter-@ Magnetic Foret, Mates and detence @- 10-78)
[Chapter-8 Tina Varying Felis and Manet Equations @-1)e9-55)
[Shapler10_Unform Plane Waves (10-0 (10-110)
[Chapler- 11 Transmission Lines (11-01-18)

a
Features of Book —

‘Use of clear, plain and lucid language making the understanding vary easy.
Use of informative, self explanatory dlagrams, plata and graphs,

jee Excellent theory well supported with the practical examples end illustrations.

| Important concepts are highlighted using Key Points throughout the book.

| Large numberof solved examples,

1# Approach of the book resembles classroom teaching.

|= Book provides detailed insight into the aubject.

jw Stepwise explanation ta mathematical derivations for easier understanding.

Best of Technical Publications ans

As per Revised Syllabus of UPTECH University - 2008 Course 4

Semester - III (ECE) eg

[ie Fundamental of Electronica Devicos Bakell, Godse |
S® Digitat Electronics Godee
(i Electromagnotic Feld Theory Bokabt {

ES Fundamentals of Network Analyste and Synthesis Bakabt {

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Electromagnetic Field Theory
ISBN 9788184316803
‘haan ih Tactical Polen, No pr his boo sh oe

rpoduced many lor, Elechonc, Mectervea, Preteeney or ny information slorage oad
retdoval stan wthovt prior pertision ia wring, fer Techical Pubeiton, Pune

Published by :
‘Technical Publications Pune?
#1, Aas Rony, £18, Shr Pa Pe 4619 020, ba

Printer :

SANS tot

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Table of Contents

Chapter 4 Vector Analysis Yosh sem ioc. (eto (1 7a)

14 Introduction ov 14
112 Scalars and Vectors. . 1-2
412: Scaler. 1-2
122 Vector 4.2
1.23 Soalar Feld. 24:2
‘1L24 Vector Field. 402
1.3 Representation of a Vector.. 1-3
1.34 Unit Vector... 1.3
1.4 Vector Algebra 4-4
1.4 Scaling of Vector. 1.4

142 Adlon of Vectors cece ectecteee tine ssmeineee 1a
13 Subtraction of Verios.........

183.1 Kontcl Vets
1.8 The Co-ordinate Systems

1.6 Cartesian Co-ordinate System

16.1 Representing a Pott in Rectangular Co-onfnale System.

1.62 Base Vectors peste 129
1.6.3 Posiion and Distence Vertors. 1-10
1.64 biter! Etements in Cartesian Covoitinete System ooo eeeseseesiee 112

1.7 Cylindrical Co-ordinate System.
74 Base Vertors
1.2.2 Diferential Elements in Cylindrical Co-ntinate System
1.7.3 Relaionstip between Canesten and Cyfinetcal Systems .
1.8 Spherical Co-ordinate System .

1.81 ase Vettes oes eee
1.82 Difronli Elemarts in Spherical Co-crinate System
1.8.3 Relatfonship between Cartesion and Spherical Systems .. 4.28
1.9 Vector Multiplication, pcrceeceetectcceets 1728
re ra sone ao

1.40.4 Properties of Dot Product ....2seses
1.402 Applications of Dot Pradhct. cee sesese

1.41.4 Propertios of Cross Product ...
1.11.2 Applicatcns of Cross Product. .
1.12 Products of Three Vectors.

1.42.4 Scalar Tipe Product...

{L124 Charatoristes of Sealer Tine Produch nn 17
1.122 Vector Triple Product. pee OT
112.24 Characters of Vac Tigh Product a Ed

42.13 Transformation of VeCtOrS. ee sennnennnnnnnnnnnnnnne 12 3B
4143.1 Trensformation of Vectors fam Cartesian to Cvindrcal.
1.132 Transformation of Vert ram Cynical fo Canesian
413.3 Transformation of Vectors from Garson to Spherical
‘43, Trensformation of Vectors from Spherical ta Cetesian,
149.5 Distances in all Co-ordinate Systems...

1.13.6 Transformation of Vectors from Sphercatte Cynical...
13,7 Transformation of Vectors from Cyindicl ko Spherical...

1.14 Types of Integra! Related to Electromagnetic Theory.
1.444 Line intogra
1.44.2 Sure integral ..
1.443 Voiora integral.
1.18 Divergence
4.16 Divergence Theorem
4.47 Gradient of a Scalar..

LIZA Propeties of Gradient of a Scalar.
1.18 Curl of a Vector...
4.18 Stoke's Theorem

1.20 Laplacian of a Scalar

1-63
4-71

Examples with Solutions.

Review Questions.

University Questions en . enn 1278

OO Bae tpt 2-54

Chapiter-2 Elecielc Field’ tntensity

2.1 Iniraduction
2.2 Coulomb's Law... ceenenerenen
221 Statement of Coulomb's Law. .
2.2.41 ConstantofProporionaly (
222 Vector Farm cf Coul's Law...
2.2.3 Principle of Supexposion
2.24 Steps to Solve Problems on Coulomb's Lew. .

2.3. Electric Field Intensity .
23.1 Unis of E paces .
2.32 Method af Obtining Ein Cartesian System.
2.34 Bleobte Field due to Discrete Charges
23.4 Important Observafens..

2.4 Types of Charge Distributions. .
244 Point Charge...
242 Line Charge.

242.1 Methed of Finding Q komp,
24.3 Surface Charge
24.4 Mebiod of Finding Qtomps

244 Volume Charge .......
2AM Method of Fning O'tom p

2.5 Electric Field intensity due to Various Charge Distributions

25:1 E dueto Line Charge.
25.2 £ due to Surfaoe Charge
25.3 E due to Volume Charme...

2.6 Electric Field due to Infinite Line Charge
2.7 Electric Field due to Charged Circular Ring..
2.8 Electric Ficld due to Infinite Sheet of Charge...

Examples with Solution:

Review Questions

University Questions .. 2-54
Chapter 3" “Blectrié Fux:Density and Gauss's Law “ws” | B- 1) t0 8-84)

3.1 Introduction: cesconens .3-4

3.2 Electric Flux pe B24
3.24 Properties of Fax kines. see Bl
3.3 Electric Flux Density 0) 23-3
33.1 Vector For of Elect Flux Densiy. 234
3.4 0 due to a Point Charge @...... 23-4
3.5 Retationship between D and E. 3-5

3.6 Electric Flux Density for Various Charge Distributions.

36.1 Line Charge...
3.62 Surace Charge...
3.83 Volume Charge. 3-7
3.7 Gause's Law. att
37.1. Mathematical Representation of Gause's Law get
37.2 Special Gaussian Surtares 318