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

Edward C. Jordan Memorial Offering of the First Course under the Indo-US Inter-University Collaborative Initiative in Higher Education and Research: Electromagnetics for Electrical and Computer Engineering. by Nannapaneni Narayana Rao

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

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  1. Edward C. Jordan Memorial Offering of the First Course under the Indo-US Inter-University Collaborative Initiative in Higher Education and Research: Electromagnetics for Electrical and Computer Engineering by Nannapaneni Narayana Rao Edward C. Jordan Professor of Electrical and Computer Engineering University of Illinois at Urbana-Champaign Urbana, Illinois, USA Amrita Viswa Vidya Peetham, Coimbatore July 10 – August 11, 2006

  2. 6.5 • Lines with Initial Conditions

  3. Line with Initial Conditions

  4. Example:

  5. Uniform Distribution

  6. t = 0.5 mS • t = 1.5 mS

  7. t = 2.5 mS

  8. Bounce Diagram Technique for • Uniform Distribution

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

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

  11. Check of Energy Balance • Initial stored energy

  12. Energy dissipated in RL

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

  14. t = 0–: steady state

  15. t = 0+:

  16. Solving, we obtain

  17. Voltage G = 0 G = 0 tV = 1

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

  19. t = 3 ms + : New steady state

  20. t = 3 ms + :

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