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.
Author(s): N. R. Sree Harsha, Anupama Prakash, D. P. Kothari
Edition: 1
Publisher: IOP Publishing Ltd
Year: 2016
Language: English
Pages: 205
City: Bristol
Preface
Acknowledgements
Author biographies
N R Sree Harsha
Anupama Prakash
Dr D P Kothari
CH001.pdf
Chapter 1 Mathematical introduction
1.1 Introduction to the calculus of variations
1.1.1 Absolute extremum
1.1.2 Conditional extremum
1.2 Vectors
1.2.1 Vector algebra
1.2.2 Vector calculus
Conclusion
References
CH002.pdf
Chapter 2 The Concept of charge
2.1 Electric charge
2.2 Electrification
2.3 Some properties of charges
2.4 Coulomb’s law
Conclusion
Exercises
Problems
References
CH003.pdf
Chapter 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
Conclusion
Exercises
Problems
References
CH004.pdf
Chapter 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
Conclusion
Exercises
Problems
Reference
CH005.pdf
Chapter 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
5.8.1 Type 1 surface charges
5.8.2 Type 2 surface charges
Conclusion
Exercises
Problems
References
CH006.pdf
Chapter 6 Magnetism
6.1 Introduction
6.2 Magnetic field due to electric current
6.3 Biot–Savart’s law
6.3.1 Calculation of the magnetic field due to current-carrying conductors
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
Conclusion
Exercises
Problems
References
CH007.pdf
Chapter 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
Conclusion
Exercises
Problems
CH008.pdf
Chapter 8 Maxwell’s equations
8.1 The finite current-carrying wire
8.2 Discharging a capacitor problem
8.3 Concept of displacement current
8.3.1 Solution to the discharging capacitor problem
8.3.2 Solution to the finite current-carrying wire problem
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
Conclusion
Exercises
Problems
References
CH009.pdf
Chapter 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
Exercises
Problems
References
CH010.pdf
Chapter 10 Solutions-manual
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
