1. ECE 305 Electromagnetic Theory
Fall 2016
ECE 305 Electromagnetic Theory
Part 4: Waves and Applications
Chapter 9 Maxwell’s Equations
Qiliang Li
Dept. of Electrical and Computer Engineering, George Mason University, Fairfax, VA

2. §9.1 Introduction

3. §9.2 Faraday’s Law
Faraday discovered that the induced emf, Vemf (in volts), in any closed circuit is equal to the time rate of change of the magnetic flux linkage by the circuit

4. §9.2 Faraday’s Law

5. =

6. §9.3 Transformer and motional electromotive forces

7. Stationary loop in time-varying B-field

8. B. Moving loop in static B Field

10. C. Moving loop in time-varying field

11. Example 9.1
(a)

12. (b) (c)

13. Method 2 Read example 9.2 and 9.3

14. §9.4 Displacement Current
For static EM field
This is incompatible with time-varying condition So

15. So, the displacement current density

16. §9.5 Final Form of Maxwell’s Eqs

17. §9.6 for self-reading
Time-varying EM fields:
In Summary:
Examples:

18. §9.7 Time-Harmonic Field

19. The time element
Phasor current IS (dropping the time factor)
Time-harmonic field

20. New form of Maxwell’s equations