Classical Electrodynamics
Covers the theory and application of classical electrodynamics and special relativity, and provides a firm grounding for later studies of quantum physics.
By the end of this course, students will be able to:
Apply Maxwell’s equations to analyze static and dynamic electromagnetic fields, including wave propagation in various media.
Solve problems involving electromagnetic waves, including reflection, impedance matching, and waveguide behavior.
Explain the physical principles of dielectrics, conductors, and microwave engineering using classical electrodynamics.
Describe and apply the principles of special relativity, including relativistic motion and radiation phenomena.
Analyze radiation from moving charges, with applications to linear accelerators and synchrotron radiation.
Demonstrate proficiency in solving electrodynamics and relativity problems through written assessments and exercises.
Learn the theory and application of classical electrodynamics and special relativity, covering the essential equations and their applications, and build a firm grounding for later studies of quantum physics. Through lectures and exercises, an understanding of static electromagnetic fields is extended through Maxwell’s equations to a discussion of dynamic vector fields and electromagnetic waves. Numerous physical and technical applications of these equations are used to illustrate the concepts, including dielectrics and conductors, wave guides, and microwave engineering. Special relativity is introduced with discussion of relativistic and non-relativistic motion and radiation, using linear accelerators and synchrotron radiation as illustrative applications. Demonstrate understanding and application of these concepts in mid-term and final exams.
1. Charge and Gauss's Law
2. Current and Ampere's Law
3. Divergence and Rotation
4. Induction
5. Capacitance and Inductance
6. Maxwell's Equation 1
7. Maxwell's Equation 2
8. Vector and Scalar Potentials
9. Electromagnetic Waves
10. Energy, Dispersion
11. Impedance Concept
12. Reflection and Matching Condition
13. Relativistic Equation of Motion
14. Radiation from a Moving Charge
15. Synchrotron Radiation
Midterm tests, 2 x 30%; Final written test, 40%.
Undergraduate mechanics and a firm grasp of calculus and vector mathematics
Electrodynamics of Continuous Media, 2 edn, by Landau, Pitaevskii, Lifshitz (1984)
Electricity and Magnetism (Berkeley Physics Course, Vol.2) 2 edn by Edward M. Purcell (1986)
Waves (Berkeley Physics Course, Vol.3) 2 edn by Frank S. Crawford (1968) Butterworth-Heinemann
The Classical Theory of Fields, 4 edn, by DL Landau (1980) Butterworth-Heinemann
Classical Electrodynamics, 3 edn, by JD Jackson (1998) Wiley