Fundamentals of electromagnetic fields:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hingham, Mass.
Infinity Science Press
2007
|
| Series: | Physics series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 412. - Includes index |
| Physical Description: | 415 S. graph. Darst. 1 CD-ROM (12 cm) |
| ISBN: | 9781934015001 |
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MARC
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| 100 | 1 | |a Anwane, S. W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Fundamentals of electromagnetic fields |c S. W. Anwane |
| 264 | 1 | |a Hingham, Mass. |b Infinity Science Press |c 2007 | |
| 300 | |a 415 S. |b graph. Darst. |e 1 CD-ROM (12 cm) | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Physics series | |
| 500 | |a Literaturverz. S. 412. - Includes index | ||
| 650 | 0 | |a Electromagnetic fields / Computer simulation | |
| 650 | 4 | |a Campos electromagnéticos - Simulación por computadora | |
| 650 | 4 | |a Electromagnetic fields |x Computer simulation | |
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Record in the Search Index
| _version_ | 1804138082892513280 |
|---|---|
| adam_text | Table of Contents
Preface
и
Chapter
1
Vector Analysis
1-71
1.1
Introduction
1
1.2
Scalars and Vectors
2
Position Vector
2
Vector Identities
3
Dot Product of Two Vectors
4
Cross Product
5
Direction Cosines
7
1.3
Polar Coordinate System
10
Transformation of Vector Field (Cartesian Vs Polar)
12
1.4
Cylindrical Coordinate System
13
Line Element in Cylindrical Coordinates
15
Volume Element in Cylindrical Coordinates
18
Transformation of a Vector Field (Cartesian Vs Cylindrical)
19
1.5
Spherical Coordinate System
24
Line Element in Spherical Coordinates
27
Volume Element in Spherical Coordinates
28
Transformation of Vector Fields (Cartesian Vs Spherical)
30
1.6
Differentiation of a Vector Field
37
Continuous Vector Field
38
Differentiation Formulae
38
Partial Differentiation of a Vector Field
38
Continuous Scalar Function
39
Higher Derivatives
39
1.7
Gradient, Curl, and Divergence
39
The Gradient
39
Physical Interpretation of Gradient
40
The Divergence
41
Physical Interpretation of Divergence
41
The Curl
42
Physical Interpretation of Curl
42
1.8
Differential Geometry in Curvilinear Coordinates
45
Solved Problems
48-71
Chapter
2
The Electric Field
73-127
2.1
Coulombs Law
73
Forces in a Multiple Charge System
75
2.2
The Electric Field (E)
77
Electric Field Due to a Point Charge Placed at the Origin
77
Electric Field Due to a Point Charge in Space
78
Electric Field Due to Two Point Charges
79
Electric Field Due to a Number of Point Charges
80
2.3
Density of Charge
84
(a) Volume Charge Density (pv)
84
(b) Surface Charge Density (ps)
85
(c) line Charge Density (p.)
86
2.4
Electric Field Due to Volume Charge Density
87
2.5
Electric Field Due to line Charge Density
87
(i) Electric Field Due to an Infinite line Charge Along the z-axis
87
(ii) Electric Field Due to an Infinite line Charge Parallel to the z-axis
89
(iii)
Alternate Method to Find the Electric Field Due to Infinite
Line Charge
91
2.6
Electric Field Due to Surface Charge (Infinite Sheet)
93
Convention of Sign
95
2.7
How to Sketch an Electric Field
97
Solved Problems
99-127
Chapter
3
Density of Displacement Flux
129-172
3.1
Faraday s Experiment
129
3.2
Density of Flux (D)
130
3.3
Relation Between Density of Flux (D)
&
Electric Field (E)
131
3.4
Gauss s Law
131
Different Forms of Gauss s Law
132
3.5
Applications of Gauss s Law to Some Typical Symmetric Problems
133
1.
Electric
Field Due to a Point Charge at Origin
134
2.
Electric Field Due to a Charged Hollow Sphere
135
3.
Electric Field Due to a Line Charge
136
4.
Electric Field Due to a Charged Cylinder
137
5.
Electric Field in a Coaxial Cable
138
6.
Electric Field in Concentric Spheres
140
7.
Electric Field Due to an Infinite Plane
141
3.6
Maxwells 1st Equation for Static Field: Point Form of Gauss s Law
143
3.7
Gauss s Divergence Theorem
146
Solved Problems
146-172
Chapter
4
Energy and Potential
173-210
4.1
Introduction
173
4.2
Work Done (W)
174
4.3a Potential (V)
175
4.3b Potential Difference
176
4.4
Work Done in a Uniform Electric Field is Independent of Path
177
4.5
Potential Field Due to a Point Charge at Origin
178
4.6
Potential Field of a System of Charges
179
4.7
Potential Field Due to an Infinite Line Charge
181
4.8
Potential Field Due to a Charged Plane
183
4.9
Prove: Work Done In a Moving Charge on Equipotential
Surface is Nil
183
4.10
Conservative Field
184
Kirchoffs
law: a generalized form
184
4.11
Potential Gradient
186
4.12
Electric
Dipole
Moment (p)
188
Field Due to
Dipole
Moment at the Origin
189
Potential Field Due to
a
Dipole
Placed in Space
190
4.13
Energy in Electrostatic Field
191
Solved Problems
195-210
Chapter
5
Poisson s and Laplace s Equations
211-236
5.1
Poisson s Equation
211
5.2
Laplace s Equation
212
5.3
Uniqueness Theorem
214
5.4
Solution to Laplace s Equation
—
Some Typical Examples
216
Solved Problems
227-236
Chapter
6
The Magnetic Field
237-265
6.1
Introduction
237
6.2
Biot-Savarts Law
238
Magnetic Flux Density Using Biot-Savarts Law
239
6.3
Magnetic Force on a Current-carrying Conductor
239
6.4
Lorentz
Force
240
6.5
Work done by Magnetic Fields
240
6.6
Energy of a Moving Charge in a Magnetic Field
240
6.7
Motion of a Charged particle in a Magnetic Field
241
(i) Charge Entering Transverse Field
(θ=π/2)
241
(ii)
Charge Entering a Field at an Angle
θ
242
(iii)
Cycloid Motion of the Charge in a Magnetic Field
243
6.8
Magnetic Field Due to an Infinite Conductor Carrying Current
246
6.9
Magnetic Field Due to a Finite Conductor Carrying Current
248
6.10
Amperes Circuital Law
250
6.10a Magnetic Field Due to Infinite Conductor Carrying Current:
An Application of ACL
250
6.10b Magnetic Field Due to Co-axial Cable Carrying Current
251
6.10c Magnetic Field Due to Infinite Sheet Carrying Current
253
6.11
The Curl: Point Form of Amperes Circuital Law
254
6.12
Stokes Theorem
256
6.13
Maxwell s 3rd Equation: Density of Magnetic Flux (B)
258
6.14
Maxwell s 4th Equation: Work Done in an Electric Field
258
6.15
Maxwells Equations for a Static Magnetic Field (Point Form)
259
6.16
Scalar Magnetic Potential
259
6.17
Vector Magnetic Potential (A)
260
6.18
Integral Form of Maxwell s Equations
260
Solved Problems
261-265
Chapter
7
Maxwell s Equations for Time-Varying Fields
267-283
7.1
Introduction
267
7.2
Faraday s Law
268
7.3
Electric Field by a Moving Charge
269
7.4
Magnetic Field by a Moving Charge
269
7.5
Equation of Continuity
270
7.6
Maxwells Equations for Time-Varying Fields
271
1.
Maxwell s 1st Equation
271
7.7
7.8
2.
Maxwells 2nd Equation
273
3.
Maxwells 3rd Equation
274
4.
Maxwells 4th Equation
275
Maxwell s Equations in Point Form, for Free Space (Perfect Dielectric)
276
The Retarded Potentials
Solved Problems
Chapter-e The Uniform Plane Wave
8.1
Introduction
Transverse Electromagnetic Wave Motion (in Vacuum)
Intrinsic Impedance
Electromagnetic Wave Motion in a Perfect Dielectric Medium
Electromagnetic Wave Motion in a Lossy Dielectric Medium
8.2
8.3
8.4
8.5
8.6
8.7
8.9
Electromagnetic Wave Motion in a Conducting Medium: Skin Effect
Power Considerations and Poynting Vector Theorem
Reflection of a Plane Electromagnetic Wave
Transmission Line
Chapter
9
The Wave Guides
9.1
Analysis of an Electromagnetic Wave in Rectangular Guides
Transverse Magnetic (TM) Mode
Propagation Constant
У
Cutoff Frequency and Cutoff Wavelength
Transverse Electric
(TE) Mode
9.2
Analysis of an Electromagnetic Wave in Cylindrical Waveguides
Transverse Magnetic (TM) Mode
—
Cylindrical Waveguide
Propagation Constant
γ
Transverse Electric
(TE) Mode
—
Cylindrical Waveguide
Appendices
Appendix
-А:
Some formulae from Vector Analysis
Appendix-B: Trignometric Functions
Appendix-C: Hyperbolic Functions
Appendix-D: Some standard formulae of differentiation
Appendix
-Е:
Some standard formulae of integration of functions
Appendix-F: About the CD-Rom
References
Index
276
277-283
285-305
285
287
290
291
294
295
297
300
303
307-322
308
310
313
313
314
316
319
320
321
323-411
323-326
327
328-329
330-334
335^03
404^11
412
413^15
|
| adam_txt |
Table of Contents
Preface
и
Chapter
1
Vector Analysis
1-71
1.1
Introduction
1
1.2
Scalars and Vectors
2
Position Vector
2
Vector Identities
3
Dot Product of Two Vectors
4
Cross Product
5
Direction Cosines
7
1.3
Polar Coordinate System
10
Transformation of Vector Field (Cartesian Vs Polar)
12
1.4
Cylindrical Coordinate System
13
Line Element in Cylindrical Coordinates
15
Volume Element in Cylindrical Coordinates
18
Transformation of a Vector Field (Cartesian Vs Cylindrical)
19
1.5
Spherical Coordinate System
24
Line Element in Spherical Coordinates
27
Volume Element in Spherical Coordinates
28
Transformation of Vector Fields (Cartesian Vs Spherical)
30
1.6
Differentiation of a Vector Field
37
Continuous Vector Field
38
Differentiation Formulae
38
Partial Differentiation of a Vector Field
38
Continuous Scalar Function
39
Higher Derivatives
39
1.7
Gradient, Curl, and Divergence
39
The Gradient
39
Physical Interpretation of Gradient
40
The Divergence
41
Physical Interpretation of Divergence
41
The Curl
42
Physical Interpretation of Curl
42
1.8
Differential Geometry in Curvilinear Coordinates
45
Solved Problems
48-71
Chapter
2
The Electric Field
73-127
2.1
Coulombs Law
73
Forces in a Multiple Charge System
75
2.2
The Electric Field (E)
77
Electric Field Due to a Point Charge Placed at the Origin
77
Electric Field Due to a Point Charge in Space
78
Electric Field Due to Two Point Charges
79
Electric Field Due to a Number of Point Charges
80
2.3
Density of Charge
84
(a) Volume Charge Density (pv)
84
(b) Surface Charge Density (ps)
85
(c) line Charge Density (p.)
86
2.4
Electric Field Due to Volume Charge Density
87
2.5
Electric Field Due to line Charge Density
87
(i) Electric Field Due to an Infinite line Charge Along the z-axis
87
(ii) Electric Field Due to an Infinite line Charge Parallel to the z-axis
89
(iii)
Alternate Method to Find the Electric Field Due to Infinite
Line Charge
91
2.6
Electric Field Due to Surface Charge (Infinite Sheet)
93
Convention of Sign
95
2.7
How to Sketch an Electric Field
97
Solved Problems
99-127
Chapter
3
Density of Displacement Flux
129-172
3.1
Faraday's Experiment
129
3.2
Density of Flux (D)
130
3.3
Relation Between Density of Flux (D)
&
Electric Field (E)
131
3.4
Gauss's Law
131
Different Forms of Gauss's Law
132
3.5
Applications of Gauss's Law to Some Typical Symmetric Problems
133
1.
Electric
Field Due to a Point Charge at Origin
134
2.
Electric Field Due to a Charged Hollow Sphere
135
3.
Electric Field Due to a Line Charge
136
4.
Electric Field Due to a Charged Cylinder
137
5.
Electric Field in a Coaxial Cable
138
6.
Electric Field in Concentric Spheres
140
7.
Electric Field Due to an Infinite Plane
141
3.6
Maxwells 1st Equation for Static Field: Point Form of Gauss's Law
143
3.7
Gauss's Divergence Theorem
146
Solved Problems
146-172
Chapter
4
Energy and Potential
173-210
4.1
Introduction
173
4.2
Work Done (W)
174
4.3a Potential (V)
175
4.3b Potential Difference
176
4.4
Work Done in a Uniform Electric Field is Independent of Path
177
4.5
Potential Field Due to a Point Charge at Origin
178
4.6
Potential Field of a System of Charges
179
4.7
Potential Field Due to an Infinite Line Charge
181
4.8
Potential Field Due to a Charged Plane
183
4.9
Prove: Work Done In a Moving Charge on Equipotential
Surface is Nil
183
4.10
Conservative Field
184
Kirchoffs
law: a generalized form
184
4.11
Potential Gradient
186
4.12
Electric
Dipole
Moment (p)
188
Field Due to
Dipole
Moment at the Origin
189
Potential Field Due to
a
Dipole
Placed in Space
190
4.13
Energy in Electrostatic Field
191
Solved Problems
195-210
Chapter
5
Poisson's and Laplace's Equations
211-236
5.1
Poisson's Equation
211
5.2
Laplace's Equation
212
5.3
Uniqueness Theorem
214
5.4
Solution to Laplace's Equation
—
Some Typical Examples
216
Solved Problems
227-236
Chapter
6
The Magnetic Field
237-265
6.1
Introduction
237
6.2
Biot-Savarts Law
238
Magnetic Flux Density Using Biot-Savarts Law
239
6.3
Magnetic Force on a Current-carrying Conductor
239
6.4
Lorentz
Force
240
6.5
Work done by Magnetic Fields
240
6.6
Energy of a Moving Charge in a Magnetic Field
240
6.7
Motion of a Charged particle in a Magnetic Field
241
(i) Charge Entering Transverse Field
(θ=π/2)
241
(ii)
Charge Entering a Field at an Angle
θ
242
(iii)
Cycloid Motion of the Charge in a Magnetic Field
243
6.8
Magnetic Field Due to an Infinite Conductor Carrying Current
246
6.9
Magnetic Field Due to a Finite Conductor Carrying Current
248
6.10
Amperes Circuital Law
250
6.10a Magnetic Field Due to Infinite Conductor Carrying Current:
An Application of ACL
250
6.10b Magnetic Field Due to Co-axial Cable Carrying Current
251
6.10c Magnetic Field Due to Infinite Sheet Carrying Current
253
6.11
The Curl: Point Form of Amperes Circuital Law
254
6.12
Stokes' Theorem
256
6.13
Maxwell's 3rd Equation: Density of Magnetic Flux (B)
258
6.14
Maxwell's 4th Equation: Work Done in an Electric Field
258
6.15
Maxwells Equations for a Static Magnetic Field (Point Form)
259
6.16
Scalar Magnetic Potential
259
6.17
Vector Magnetic Potential (A)
260
6.18
Integral Form of Maxwell's Equations
260
Solved Problems
261-265
Chapter
7
Maxwell's Equations for Time-Varying Fields
267-283
7.1
Introduction
267
7.2
Faraday's Law
268
7.3
Electric Field by a Moving Charge
269
7.4
Magnetic Field by a Moving Charge
269
7.5
Equation of Continuity
270
7.6
Maxwells Equations for Time-Varying Fields
271
1.
Maxwell's 1st Equation
271
7.7
7.8
2.
Maxwells 2nd Equation
273
3.
Maxwells 3rd Equation
274
4.
Maxwells 4th Equation
275
Maxwell's Equations in Point Form, for Free Space (Perfect Dielectric)
276
The Retarded Potentials
Solved Problems
Chapter-e The Uniform Plane Wave
8.1
Introduction
Transverse Electromagnetic Wave Motion (in Vacuum)
Intrinsic Impedance
Electromagnetic Wave Motion in a Perfect Dielectric Medium
Electromagnetic Wave Motion in a Lossy Dielectric Medium
8.2
8.3
8.4
8.5
8.6
8.7
8.9
Electromagnetic Wave Motion in a Conducting Medium: Skin Effect
Power Considerations and Poynting Vector Theorem
Reflection of a Plane Electromagnetic Wave
Transmission Line
Chapter
9
The Wave Guides
9.1
Analysis of an Electromagnetic Wave in Rectangular Guides
Transverse Magnetic (TM) Mode
Propagation Constant
У
Cutoff Frequency and Cutoff Wavelength
Transverse Electric
(TE) Mode
9.2
Analysis of an Electromagnetic Wave in Cylindrical Waveguides
Transverse Magnetic (TM) Mode
—
Cylindrical Waveguide
Propagation Constant
γ
Transverse Electric
(TE) Mode
—
Cylindrical Waveguide
Appendices
Appendix
-А:
Some formulae from Vector Analysis
Appendix-B: Trignometric Functions
Appendix-C: Hyperbolic Functions
Appendix-D: Some standard formulae of differentiation
Appendix
-Е:
Some standard formulae of integration of functions
Appendix-F: About the CD-Rom
References
Index
276
277-283
285-305
285
287
290
291
294
295
297
300
303
307-322
308
310
313
313
314
316
319
320
321
323-411
323-326
327
328-329
330-334
335^03
404^11
412
413^15 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Anwane, S. W. |
| author_facet | Anwane, S. W. |
| author_role | aut |
| author_sort | Anwane, S. W. |
| author_variant | s w a sw swa |
| building | Verbundindex |
| bvnumber | BV035110498 |
| callnumber-first | Q - Science |
| callnumber-label | QC665 |
| callnumber-raw | QC665.E4 |
| callnumber-search | QC665.E4 |
| callnumber-sort | QC 3665 E4 |
| callnumber-subject | QC - Physics |
| classification_rvk | UH 3000 |
| ctrlnum | (OCoLC)136782965 (DE-599)GBV529949423 |
| dewey-full | 530.14/1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14/1 |
| dewey-search | 530.14/1 |
| dewey-sort | 3530.14 11 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| discipline_str_mv | Physik |
| format | Book |
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| id | DE-604.BV035110498 |
| illustrated | Illustrated |
| index_date | 2024-07-02T22:17:17Z |
| indexdate | 2024-07-09T21:22:32Z |
| institution | BVB |
| isbn | 9781934015001 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016778331 |
| oclc_num | 136782965 |
| open_access_boolean | |
| owner | DE-703 DE-634 |
| owner_facet | DE-703 DE-634 |
| physical | 415 S. graph. Darst. 1 CD-ROM (12 cm) |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Infinity Science Press |
| record_format | marc |
| series2 | Physics series |
| spelling | Anwane, S. W. Verfasser aut Fundamentals of electromagnetic fields S. W. Anwane Hingham, Mass. Infinity Science Press 2007 415 S. graph. Darst. 1 CD-ROM (12 cm) txt rdacontent n rdamedia nc rdacarrier Physics series Literaturverz. S. 412. - Includes index Electromagnetic fields / Computer simulation Campos electromagnéticos - Simulación por computadora Electromagnetic fields Computer simulation Elektromagnetisches Feld (DE-588)4014305-3 gnd rswk-swf Elektromagnetisches Feld (DE-588)4014305-3 s DE-604 http://catdir.loc.gov/catdir/toc/ecip0719/2007021736.html Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016778331&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Anwane, S. W. Fundamentals of electromagnetic fields Electromagnetic fields / Computer simulation Campos electromagnéticos - Simulación por computadora Electromagnetic fields Computer simulation Elektromagnetisches Feld (DE-588)4014305-3 gnd |
| subject_GND | (DE-588)4014305-3 |
| title | Fundamentals of electromagnetic fields |
| title_auth | Fundamentals of electromagnetic fields |
| title_exact_search | Fundamentals of electromagnetic fields |
| title_exact_search_txtP | Fundamentals of electromagnetic fields |
| title_full | Fundamentals of electromagnetic fields S. W. Anwane |
| title_fullStr | Fundamentals of electromagnetic fields S. W. Anwane |
| title_full_unstemmed | Fundamentals of electromagnetic fields S. W. Anwane |
| title_short | Fundamentals of electromagnetic fields |
| title_sort | fundamentals of electromagnetic fields |
| topic | Electromagnetic fields / Computer simulation Campos electromagnéticos - Simulación por computadora Electromagnetic fields Computer simulation Elektromagnetisches Feld (DE-588)4014305-3 gnd |
| topic_facet | Electromagnetic fields / Computer simulation Campos electromagnéticos - Simulación por computadora Electromagnetic fields Computer simulation Elektromagnetisches Feld |
| url | http://catdir.loc.gov/catdir/toc/ecip0719/2007021736.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016778331&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT anwanesw fundamentalsofelectromagneticfields |
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