by Nannapaneni Narayana Rao Edward C. Jordan Professor of Electrical and Computer Engineering

1. Slide Presentations for ECE 329,Introduction to Electromagnetic Fields,to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni Narayana Rao Edward C. Jordan Professor of Electrical and Computer Engineering University of Illinois at Urbana-Champaign, Urbana, Illinois, USA Distinguished Amrita Professor of Engineering Amrita Vishwa Vidyapeetham, Coimbatore, Tamil Nadu, India

2. 6.5 • Lines with Initial Conditions

3. Line with Initial Conditions

5. Example:

11. Uniform Distribution

13. t = 0.5 mS • t = 1.5 mS

14. t = 2.5 mS

15. Bounce Diagram Technique for • Uniform Distribution

18. Energy Storage in Transmission Lines • we, Electric stored energy density = • We, Electric stored energy =

19. wm, Magnetic stored energy density = • Wm, Magnetic stored energy =

20. Check of Energy Balance • Initial stored energy

21. Energy dissipated in RL

22. Another Example: • System in steady state at t = 0–.

23. t = 0–: steady state

24. t = 0+:

25. Solving, we obtain

26. Voltage G = 0 G = 0 tV = 1

27. Current G = 0, tC = 1 tCeff = 0.5 G = 0

28. t = 3 ms + : New steady state

29. t = 3 ms + :