1. Electromagnetics II Unit 6 ： Lossy Line and Diffusion Equation Lecturer: Professor Jean-Fu Kiang Text book: N. N. Rao, “Elements of Engineering Electromagnetics,” sixth ed., Pearson, 2004. 1 Unless noted, the course materials are licensed under Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan (CC BY-NC-SA 3.0)Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan

2. Circuit Model of Lossy Line (1/2) 2

3. Circuit Model of Lossy Line (2/2) 3

4. Solution of Telegrapher’s Equations 4

5. Characteristic Impedance 5

6. Input Impedance of Lossy Line 6

7. Special Cases of Input Impedance 7

8. Time-averaged Power in a Lossy Line 8

9. Example 9

10. Lumped Circuit Model at Low Frequencies 10

11. Diffusion Equation and Its Solution 11

12. Example 12

13. Voltage Distribution at Different Instants 13

14. Copyright Declaration 14 Page WorkLicensingAuthor/Source 2, 3 Jean-Fu Kiang / National Taiwan University This work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 TaiwanCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan 4 Jean-Fu Kiang / National Taiwan University This work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 TaiwanCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan 9 Jean-Fu Kiang / National Taiwan University This work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 TaiwanCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan

15. Copyright Declaration 15 Page WorkLicensingAuthor/Source 10 Jean-Fu Kiang / National Taiwan University This work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 TaiwanCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan 12 Jean-Fu Kiang / National Taiwan University This work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 TaiwanCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan 13 Jean-Fu Kiang / National Taiwan University This work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 TaiwanCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan

16. Copyright Declaration 16 Page WorkLicensingAuthor/Source 13 Jean-Fu Kiang / National Taiwan University This work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 TaiwanCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan