Electromagnetics II Unit 2 ： Line Terminated by Resistive Load, Transmission Line Discontinuity Lecturer: Professor Jean-Fu Kiang Text book: N. N. Rao, “Elements of Engineering Electromagnetics,” sixth ed., Pearson, 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

Voltage and Current in Transmission Line 2

Reflection and Transmission Coefficients between Two Transmission Lines (1/2) 3

Reflection and Transmission Coefficients between Two Transmission Lines (2/2) 4

Example 1 - Three Transmission Lines Matched at source and load 5

Time-space Diagram of Example 1 6

Output Voltage with Delta Input in Example 1 7

Output Voltage with Harmonic Input in Example 1 8

Transmission-line Discontinuity with Inserted Resistor 9

Evaluation of Reflection and Transmission Coefficients 10

Equivalent Lumped-circuit of an Infinitesimal Parallel-plate Waveguide 11

Time-domain Reflectometry 12

Example 3: Inductive Load 13

Example 3: Solution 14 initial condition

Exercise: Capacitive Load 15

Voltage and Current at z=l 16

Propagation of V and I Waves 17

Propagation of V and I Waves 18

Example 4 19

Conservation of Energy 20

Copyright Declaration 21 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 5 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 6 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

Copyright Declaration 22 Page WorkLicensingAuthor/Source 9, 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

Copyright Declaration 23 Page WorkLicensingAuthor/Source 15 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 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 17 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

Copyright Declaration 24 Page WorkLicensingAuthor/Source 17 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 18 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 19 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

Copyright Declaration 25 Page WorkLicensingAuthor/Source 19 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