UID:
edoccha_9958129156302883
Format:
1 online resource (various pagings) :
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illustrations (chiefly color).
ISBN:
9780750312660
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9780750312684
Series Statement:
[IOP release 3]
Content:
Circuit theory is one of the most important tools of the electrical engineer, and it can be derived with suitable approximations from Maxwell's equations. Despite this, university courses treat electromagnetism and circuit theory as two separate subjects and at advanced level, students can lack a basic understanding of the classical electromagnetism applied in the context of electric circuits to fully appreciate and apply circuit theory and understand its limitations. Here the authors build on their graduate teaching experiences and lectures to treat these topics as a single subject and derive and present the important results from circuit analyses, such as Kirchhoff's laws and Ohm's law, using the ideas of the classical electromagnetism.
Note:
"Version: 20161001"--Title page version.
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Preface -- 1. Mathematical introduction -- 1.1. Introduction to the calculus of variations -- 1.2. Vectors
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2. The concept of charge -- 2.1. Electric charge -- 2.2. Electrification -- 2.3. Some properties of charges -- 2.4. Coulomb's law
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3. Electrostatics -- 3.1. Introduction and the need for the concept of fields -- 3.2. Electromagnetic fields -- 3.3. The concept of flux -- 3.4. Gauss's theorem -- 3.5. Differential form of the Gauss theorem
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4. The electric potential -- 4.1. The electric potential difference -- 4.2. Earnshaw's theorem -- 4.3. Conductors and insulators -- 4.4. Capacitors -- 4.5. The energy stored in a capacitor
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5. Electric currents -- 5.1. Special theory of relativity -- 5.2. Relativity of simultaneity -- 5.3. Time dilation -- 5.4. Rods moving perpendicularly to each other -- 5.5. Length contraction -- 5.6. Modified expression of current -- 5.7. Ohm's law -- 5.8. Application of the Poynting vector to a simple DC circuit
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6. Magnetism -- 6.1. Introduction -- 6.2. Magnetic field due to electric current -- 6.3. Biot-Savart's law -- 6.4. Ampère's law -- 6.5. Magnetic forces -- 6.6. Electric and magnetic fields : consequences and genesis -- 6.7. Magnetism as a relativistic effect -- 6.8. Rowland's experiment -- 6.9. The Hall effect -- 6.10. The energy associated with the magnetic fields
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7. Electromagnetic induction -- 7.1. Faraday's experiments -- 7.2. Faraday's law of electromagnetic induction -- 7.3. Lenz's law of electromagnetic induction -- 7.4. Mutual induction -- 7.5. Self-induction -- 7.6. The concept of an inductor -- 7.7. Energy stored in an inductor
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8. Maxwell's equations -- 8.1. The finite current-carrying wire -- 8.2. Discharging a capacitor problem -- 8.3. Concept of displacement current -- 8.4. Maxwell's equations -- 8.5. Helmholtz's theorem -- 8.6. The choice of gauge -- 8.7. Retarded potentials and fields -- 8.8. Properties of Maxwell's equations -- 8.9. Some interesting remarks about ‘displacement current' -- 8.10. Poynting's theorem
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9. Network theorems -- 9.1. Introduction -- 9.2. Derivation of Kirchhoff's laws -- 9.3. The Newton of electricity -- 9.4. The concept of entropy in electrical circuits -- 9.5. Maximum entropy production principle -- 9.6. Superposition theorem -- 9.7. Source transformation -- 9.8. Thevenin's theorem -- 9.9. Norton's theorem -- 9.10. Tellegen's theorem in DC circuits -- 9.11. Some interesting remarks on Kirchhoff's laws -- 10. Solutions-manual.
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Also available in print.
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Mode of access: World Wide Web.
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System requirements: Adobe Acrobat Reader.
Additional Edition:
ISBN 0-7503-1266-1
Additional Edition:
ISBN 0-7503-1267-X
Language:
English
DOI:
10.1088/978-0-7503-1266-0
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