Electromagnetic field theory for engineers and physicists:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2010
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| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XXVI, 659 S. graph. Darst. |
| ISBN: | 9783540763055 9783642425295 |
Internformat
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| 245 | 1 | 0 | |a Electromagnetic field theory for engineers and physicists |c Günther Lehner |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2010 | |
| 300 | |a XXVI, 659 S. |b graph. Darst. | ||
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Datensatz im Suchindex
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TABLE OF CONTENTS LIST OF SYMBOLS XV 1 MAXWELL'S EQUATIONS 1 1.1
INTRODUCTION 1 1.2 CHARGE AND COULOMB'S LAW 2 1.3 ELECTRIC FIELD
STRENGTH E AND DISPLACEMENT FIELD D 4 1.4 ELECTRIC FLUX 5 1.5 DIVERGENCE
OF A VECTOR FIELD AND GAUSS' INTEGRAL THEOREM 8 1.6 WORK AND THE
ELECTRIC FIELD 12 1.7 THE ROTATION OF A VECTOR FIELD AND STAKE'S
INTEGRAL THEOREM 14 1.8 POTENTIAL AND VOLTAGE 19 1.9 THE ELECTRIC
CURRENT AND AMPERE'S LAW 22 1.10 THE PRINCIPLE OF CHARGE CONSERVATION
AND MAXWELL'S FIRST EQUATION . . .27 1.11 FARADAY'S LAW OF INDUCTION 30
1.12 MAXWELL'S EQUATIONS 31 1.13 SYSTEM OF UNITS 35 2 BASICS OF
ELECTROSTATICS 40 2.1 FUNDAMENTAL RELATIONS 40 2.2 FIELD INTENSITY AND
POTENTIAL FOR A GIVEN CHARGE DISTRIBUTION 41 2.3 SPECIFIC CHARGE
DISTRIBUTIONS 44 2.3.1 ONE-DIMENSIONAL, PLANAR CHARGE DISTRIBUTIONS 44
2.3.2 SPHERICALLY SYMMETRIC DISTRIBUTIONS 45 2.3.3 CYLINDRICALLY
SYMMETRIC DISTRIBUTIONS 48 2.4 THE FIELD GENERATED BY TWO POINT CHARGES
51 2.5 THE IDEAL DIPOLE 57 2.5.1 THE IDEAL DIPOLE AND ITS POTENTIAL 57
2.5.2 VOLUME DISTRIBUTION OF DIPOLES 60 2.5.3 SURFACE DISTRIBUTIONS OF
DIPOLES (DIPOLE LAYERS) 63 2.5.4 LINE DIPOLES 69 2.6 BEHAVIOR OF A
CONDUCTOR IN AN ELECTRIC FIELD 72 2.6.1 METALLIC SPHERE IN THE FIELD OF
A POINT CHARGE 73 2.6.2 METALLIC SPHERE IN A UNIFORM ELECTRIC FIELD 77
2.6.3 METALLIC CYLINDER IN THE FIELD OF A LINE CHARGE 80 2.
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/996247246 DIGITALISIERT
DURCH VIII TABLE OF CONTENTS 2.9 THE CAPACITOR WITH A DIELECTRIC 88 2.10
BOUNDARY CONDITIONS FOR E AND D AND REFRACTION OF FORCE LINES 90 2.11 A
POINT CHARGE INSIDE A DIELECTRIC 93 2.11.1 UNIFORM DIELECTRIC 93 2.11.2
PLANE BOUNDARIES BETWEEN TWO DIELECTRICS 95 2.12 A DIELECTRIC SPHERE IN
A UNIFORM ELECTRIC FIELD 97 2.12.1 THE FIELD OF A UNIFORMLY POLARIZED
SPHERE 97 2.12.2 AN EXTERNALLY APPLIED UNIFORM FIELD AS THE CAUSE OF
POLARIZATION 101 2.12.3 DIELECTRIC SPHERE (S) AND DIELECTRIC SPACE ( A
) 101 2.12.4 GENERALIZATION: ELLIPSOIDS 104 2.13 POLARIZATION CURRENT
106 2.14 ENERGY PRINCIPLE 108 2.14.1 ENERGY PRINCIPLE IN ITS GENERAL
FORM 108 2.14.2 ELECTROSTATIC ENERGY 111 2.15 FORCES IN THE ELECTRIC
FIELD 114 2.15.1 FORCE ON THE PLATE OF A CAPACITOR 114 2.15.2 CAPACITOR
WITH TWO DIELECTRICS 115 3 FORMAL METHODS OF ELECTROSTATICS 117 3.1
COORDINATE TRANSFORMATIONS 117 3.2 VECTOR ANALYSIS FOR CURVILINEAR,
ORTHOGONAL COORDINATE SYSTEMS . 121 3.2.1 GRADIENT 121 3.2.2
DIVERGENCE 121 3.2.3 LAPLACE OPERATOR 122 3.2.4 CIRCULATION 123 3.3 SOME
IMPORTANT COORDINATE SYSTEMS 124 3.3.1 CARTESIAN COORDINATES 125 3.3.2
CYLINDRICAL COORDINATES 125 3.3.3 SPHERICAL COORDINATES 127 3.4 SOME
PROPERTIES OF POISSON'S AND LAPLACE'S EQUATIONS (POTENTIAL THEORY) 128
3.4.1 PROBLEM DESCRIPTION 128 3.4. TABLE OF CONTENTS IX 3.6 COMPLETE
ORTHOGONAL SYSTEMS OF FUNCTIONS 159 3.7 SEPARATION OF VARIABLES OF
LAPLACE'S EQUATION IN CYLINDRICAL COORDINATES 165 3.7.1 SEPARATION OF
VARIABLES 165 3.7.2 SOME PROPERTIES OF CYLINDRICAL FUNCTIONS 167 3.7.3
EXAMPLES 171 3.7.3.1 A CYLINDER WITH SURFACE CHARGES 171 3.7.3.2 POINT
CHARGE ON THE AXIS OF A DIELECTRIC CYLINDER 175 3.7.3.3 DIRICHLET'S
BOUNDARY VALUE PROBLEM AND THE FOURIER-BESSEL SERIES 177 3.7.3.4
ROTATIONALLY SYMMETRIC SURFACE CHARGES IN THE PLANE Z = 0 AND THE HANKEL
TRANSFORMATION 181 3.7.3.5 CHARGE DISTRIBUTIONS THAT ARE NOT
ROTATIONALLY SYMMETRIC 183 3.8 SEPARATION OF VARIABLES FOR LAPLACE'S
EQUATION IN SPHERICAL COORDINATES 188 3.8.1 SEPARATION OF VARIABLES 188
3.8.2 EXAMPLES 193 3.8.2.1 DIELECTRIC SPHERE IN A UNIFORM ELECTRIC FIELD
193 3.8.2.2 A SPHERE CARRYING AN ARBITRARY SURFACE CHARGE 195 3.8.2.3
DIRICHLET'S PROBLEM FORA SPHERE 199 3.9 MULTI-CONDUCTOR SYSTEMS 200 3.10
PLANE ELECTROSTATIC PROBLEMS AND THE FLUX FUNCTION 206 3.11 ANALYTIC
FUNCTIONS AND CONFORMAI MAPPINGS 210 3.12 THE COMPLEX POTENTIAL 217 4
THE STATIONARY CURRENT DENSITY FIELD 232 4.1 THE BASIC EQUATIONS 232 4.2
RELAXATION TIME 235 4.3 BOUNDARY CONDITIONS 237 4.4 THE FORMAL ANALOGY
BETWEEN D AND G 242 4.5 SOME CURRENT DENSITY FIELDS 243 4.5.1 POINT-LIKE
CURRENT SOURCE IN SPACE 243 4.5. X TABLE OF CONTENTS 5.3 MAGNETIZATION
286 5.4 FORCES ON DIPOLES IN MAGNETIC FIELDS 291 5.5 B AND H IN
MAGNETIZABLE MEDIA 293 5.6 FERROMAGNETISM 299 5.7 BOUNDARY CONDITIONS
FOR B AND H, AND THE REFRACTION OF MAGNETIC FORCE LINES 304 5.8 PLATE,
SPHERE, HOLLOW SPHERE IN A UNIFORM MAGNETIC FIELD 307 5.8.1 THE PLANAR
PLATE 307 5.8.2 THE SPHERE 309 5.8.3 THE HOLLOW SPHERE 311 5.9 IMAGING
AT A PLANE 313 5.10 PLANAR PROBLEMS 321 5.11 CYLINDRICAL BOUNDARY VALUE
PROBLEMS 322 5.11.1 SEPARATION OF VARIABLES 322 5.11.2 STRUCTURE OF
ROTATIONALLY SYMMETRIC MAGNETIC FIELDS 324 5.11.3 EXAMPLES 326 5.11.3.1
CYLINDER WITH AN AZIMUTHAL SURFACE CURRENT 326 5.11.3.2 AZIMUTHAL
SURFACE CURRENTS IN THE X-Y-PLANE 330 5.11.3.3 CURRENT LOOP AND
MAGNETIZABLE CYLINDER 332 5.12 MAGNETIC ENERGY, MAGNETIC FLUX AND
INDUCTANCE COEFFICIENTS 335 5.12.1 MAGNETIC ENERGY 335 5.12.2 MAGNETIC
FLUX 339 6 TIME DEPENDENT PROBLEMS I (QUASI STATIONARY APPROXIMATION) .
. . 343 6.1 FARADAY'S LAW OF MAGNETIC INDUCTION 343 6.1.1 INDUCTION BY A
TEMPORAL CHANGE OF B 343 6.1.2 INDUCTION THROUGH THE MOTION OF THE
CONDUCTOR 344 6.1.3 INDUCTION BY SIMULTANEOUS TEMPORAL CHANGE OF B AND
MOTION OF THE CONDUCTOR 347 6.1.4 UNIPOLAR MACHINE 349 6.1.5 HERING'S
EXPERIMENT 351 6.2 DIFFUSION OF ELECTROMAGNETIC FIELDS 352 6.2.1
EQUATIONS FOR E, G, B, A 352 6.2. TABLE OF CONTENTS XI 6.6.1 GENERAL
SOLUTION 381 6.6.2 DIFFUSION OF THE INITIAL FIELD (IMPACT OF INITIAL
CONDITION) 382 6.6.3 IMPACT OF BOUNDARY CONDITIONS 385 6.7 THE
CYLINDRICAL DIFFUSION PROBLEM 389 6.7.1 THE BASIC FORMULAS 389 6.7.2 THE
LONGITUDINAL FIELD BZ 391 6.7.3 THE AZIMUTHAL FIELD BCP 395 6.7.4 SKIN
EFFECT IN A CYLINDRICAL WIRE 399 6.8 LIMITS OF THE QUASI STATIONARY
THEORY 402 7 TIME DEPENDENT PROBLEMS II (ELECTROMAGNETIC WAVES) 405 7.1
WAVE EQUATIONS AND THEIR SIMPLEST SOLUTIONS 405 7.1.1 THE WAVE EQUATIONS
405 7.1.2 THE SIMPLEST CASE: PLANE WAVE IN AN INSULATOR 406 7.1.3
HARMONIC PLANE WAVES 411 7.1.4 ELLIPTIC POLARIZATION 415 7.1.5 STANDING
WAVES 416 7.1.6 TE- AND TM WAVE 418 7.1.7 ENERGY DENSITY IN AND ENERGY
TRANSFER BY WAVES 422 7.2 PLANE WAVES IN A CONDUCTIVE MEDIUM 423 7.2.1
WAVE EQUATIONS AND DISPERSION RELATION 423 7.2.2 THE PROCESS IS HARMONIC
IN SPACE 425 7.2.3 THE PROCESS IS HARMONIC IN TIME 427 7.3 REFLECTION
AND REFRACTION 431 7.3.1 REFLECTION AND REFRACTION FOR INSULATORS 431
7.3.2 FRESNEL'S EQUATIONS FOR INSULATORS 433 7.3.3 NONMAGNETIC MEDIA 436
7.3.4 TOTAL REFLECTION 439 7.3.5 REFLECTION AT A CONDUCTING MEDIUM 441
7.4 POTENTIALS AND THEIR WAVE EQUATIONS 442 7.4.1 THE INHOMOGENEOUS WAVE
EQUATION FOR A AND (P 442 7.4.2 SOLUTION OF THE INHOMOGENEOUS WAVE
EQUATIONS (RETARDATION) . 445 7.4. XII TABLE OF CONTENTS 7.8 RECTANGULAR
WAVE GUIDE 475 7.8.1 SEPARATION OF VARIABLES 475 7.8.2 TM WAVES IN A
RECTANGULAR WAVE GUIDE 476 7.8.3 TE WAVES IN A RECTANGULAR WAVE GUIDE
478 7.8.4 TEM WAVES 479 7.9 RECTANGULAR CAVITIES 481 7.10 CIRCULAR WAVE
GUIDE 485 7.10.1 SEPARATION OF VARIABLES 485 7.10.2 TM WAVES IN A
CIRCULAR CYLINDRICAL WAVE GUIDE 487 7.10.3 TE WAVES IN A CIRCULAR
CYLINDRICAL WAVE GUIDE 489 7.10.4 THE COAXIAL CABLE 490 7.10.5
TELEGRAPHER'S EQUATION 493 7.11 THE WAVE GUIDE AS A VARIATIONAL PROBLEM
495 7.12 BOUNDARY AND INITIAL VALUE PROBLEMS 498 7.12.1 THE INITIAL
VALUE PROBLEM OF THE INFINITE, UNIFORM SPACE 499 7.12.2 THE BOUNDARY
VALUE PROBLEM OF THE HALF-SPACE 503 8 NUMERICAL METHODS 506 8.1
INTRODUCTION 506 8.2 BASICS OF POTENTIAL THEORY 506 8.2.1 BOUNDARY VALUE
PROBLEMS AND INTEGRAL EQUATIONS 506 8.2.2 EXAMPLES 510 8.2.2.1 THE
ONE-DIMENSIONAL PROBLEM 510 8.2.2.2 DIRICHLET'S BOUNDARY VALUE PROBLEM
OF A SPHERE 512 8.2.3 MEAN VALUE THEOREMS OF POTENTIAL THEORY 515 8.3
BOUNDARY VALUE PROBLEMS AS VARIATIONAL PROBLEMS 517 8.3.1 VARIATIONAL
INTEGRALS AND EULER'S EQUATIONS 517 8.3.2 EXAMPLES 520 8.3.2.1 POISSON'S
EQUATION 520 8.3.2.2 HELMHOLTZ EQUATION 523 8.4 METHOD OF WEIGHTED
RESIDUALS 528 8.4.1 COLLOCATION METHOD 529 8.4.2 METHOD OF FRACTIONAL
REGIONS 531 8.4.3 MOMENTUM METHOD 532 8.4. TABLE OF CONTENTS XIII A
APPENDICES 569 A.1 ELECTROMAGNETIC FIELD THEORY AND PHOTON REST MASS 569
A.1.1 INTRODUCTION 569 A.1.2 EXAMPLES 574 A.1.2.1 UNIFORMLY CHARGED
SPHERICAL SURFACE 574 A. 1.2.2 THE PLANE CAPACITOR AND ITS CAPACITANCE
575 A.1.2.3 THE IDEAL ELECTRIC DIPOLE 577 A.1.2.4 THE IDEAL MAGNETIC
DIPOLE 577 A.1.2.5 PLANE WAVES 579 A.1.3 MEASUREMENTS AND CONCLUSIONS
582 A. 1.3.1 MAGNETIC FIELDS OF EARTH AND JUPITER 582 A.1.3.2
SCHUMANN-RESONANCES 583 A.1.3.3 FUNDAMENTAL LIMIT - THE UNCERTAINTY
RELATION 584 A.2 MAGNETIC MONOPOLES AND MAXWELL'S EQUATION 585 A.2.1
INTRODUCTION 585 A.2.2 DUAL TRANSFORMATIONS 587 A.2.3 PROPERTIES OF
MAGNETIC MONOPOLES 590 A.2.4 THE SEARCH FOR MAGNETIC MONOPOLES 591 A.3
ON THE SIGNIFICANCE OF ELECTROMAGNETIC FIELDS AND POTENTIALS
(BOHM-AHARONOV EFFECTS) 593 A.3.1 INTRODUCTION 593 A.3.2 THE ROLE OF
FIELDS AND POTENTIALS 595 A.3.3 THE EHRENFEST THEOREMS 597 A.3.4
MAGNETIC FIELD AND VECTOR POTENTIAL IN AN INFINITELY LONG COIL 598 A.3.5
INTERFERENCE OF ELECTRON BEAMS AT DOUBLE SLIT 599 A.3.6 CONCLUSIONS 603
A.4 LIENARD-WIECHERT POTENTIALS 603 A.5 THE HELMHOLTZ THEOREM 608 A.5.1
DERIVATION AND INTERPRETATION 608 A.5.2 EXAMPLES 611 A.5.2.1 UNIFORM
FIELD INSIDE A SPHERE 611 A.5.2.2 POINT CHARGE INSIDE A CONDUCTING
HOLLOW SPHERE 615 A.6 XIV TABLE OF CONTENTS A.6.6 EXAMPLES 639 A.6.6.1
SURFACE CHARGES AND THEIR FIELDS 639 A.6.6.2 CURRENTS AND VOLUME CHARGES
641 A.6.6.3 FORCE OF A CURRENT ON A MOVING CHARGE 643 A.6.6.4 FIELD OF A
UNIFORMLY MOVING POINT CHARGE 644 A.6.7 FINAL REMARKS 645 BIBLIOGRAPHY
647 GENERALLY RECOMMENDED READING 648 INDEX 649 |
| any_adam_object | 1 |
| author | Lehner, Günther 1931-2021 |
| author_GND | (DE-588)132781360 |
| author_facet | Lehner, Günther 1931-2021 |
| author_role | aut |
| author_sort | Lehner, Günther 1931-2021 |
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| building | Verbundindex |
| bvnumber | BV036106006 |
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| callnumber-label | QC665 |
| callnumber-raw | QC665.E4 |
| callnumber-search | QC665.E4 |
| callnumber-sort | QC 3665 E4 |
| callnumber-subject | QC - Physics |
| classification_rvk | UH 1000 ZN 3240 |
| ctrlnum | (OCoLC)213114113 (DE-599)DNB996247246 |
| dewey-full | 530.141 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.141 |
| dewey-search | 530.141 |
| dewey-sort | 3530.141 |
| dewey-tens | 530 - Physics |
| discipline | Maschinenbau / Maschinenwesen Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV036106006 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T10:32:34Z |
| institution | BVB |
| isbn | 9783540763055 9783642425295 |
| language | English German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018996271 |
| oclc_num | 213114113 |
| open_access_boolean | |
| owner | DE-703 DE-83 DE-634 DE-573 DE-19 DE-BY-UBM DE-1050 |
| owner_facet | DE-703 DE-83 DE-634 DE-573 DE-19 DE-BY-UBM DE-1050 |
| physical | XXVI, 659 S. graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| spelling | Lehner, Günther 1931-2021 Verfasser (DE-588)132781360 aut Electromagnetic field theory for engineers and physicists Günther Lehner Berlin [u.a.] Springer 2010 XXVI, 659 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Electromagnetic fields Electromagnetic theory Elektromagnetisches Feld (DE-588)4014305-3 gnd rswk-swf Elektromagnetismus (DE-588)4014306-5 gnd rswk-swf Feldtheorie (DE-588)4016698-3 gnd rswk-swf Elektrodynamik (DE-588)4014251-6 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Elektrodynamik (DE-588)4014251-6 s DE-604 Elektromagnetisches Feld (DE-588)4014305-3 s Feldtheorie (DE-588)4016698-3 s 1\p DE-604 Elektromagnetismus (DE-588)4014306-5 s 2\p DE-604 Erscheint auch als Online-Ausgabe 978-3-540-76306-2 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3348847&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018996271&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lehner, Günther 1931-2021 Electromagnetic field theory for engineers and physicists Electromagnetic fields Electromagnetic theory Elektromagnetisches Feld (DE-588)4014305-3 gnd Elektromagnetismus (DE-588)4014306-5 gnd Feldtheorie (DE-588)4016698-3 gnd Elektrodynamik (DE-588)4014251-6 gnd |
| subject_GND | (DE-588)4014305-3 (DE-588)4014306-5 (DE-588)4016698-3 (DE-588)4014251-6 (DE-588)4123623-3 |
| title | Electromagnetic field theory for engineers and physicists |
| title_auth | Electromagnetic field theory for engineers and physicists |
| title_exact_search | Electromagnetic field theory for engineers and physicists |
| title_full | Electromagnetic field theory for engineers and physicists Günther Lehner |
| title_fullStr | Electromagnetic field theory for engineers and physicists Günther Lehner |
| title_full_unstemmed | Electromagnetic field theory for engineers and physicists Günther Lehner |
| title_short | Electromagnetic field theory for engineers and physicists |
| title_sort | electromagnetic field theory for engineers and physicists |
| topic | Electromagnetic fields Electromagnetic theory Elektromagnetisches Feld (DE-588)4014305-3 gnd Elektromagnetismus (DE-588)4014306-5 gnd Feldtheorie (DE-588)4016698-3 gnd Elektrodynamik (DE-588)4014251-6 gnd |
| topic_facet | Electromagnetic fields Electromagnetic theory Elektromagnetisches Feld Elektromagnetismus Feldtheorie Elektrodynamik Lehrbuch |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3348847&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018996271&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT lehnergunther electromagneticfieldtheoryforengineersandphysicists |