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Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement

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Title: Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement


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

4

5
  • Example

6

7

8

9

10

11
  • Uniform Distribution

12

13
  • t 0.5 mS
  • t 1.5 mS

14
  • t 2.5 mS

15
  • Bounce Diagram Technique for
  • Uniform Distribution

16

17

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
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