Electromagnetics II Unit 6 : Lossy Line and Diffusion Equation Lecturer: Professor Jean-Fu Kiang Text book: N. N. Rao, “Elements of Engineering Electromagnetics,”

Slides:



Advertisements
Similar presentations
ESSENTIALS OF GLOBAL HEALTH 02/MAR/2012 LECTURER: PROF. CHANG-CHUAN CHAN Unless noted, the course materials are licensed under Creative Commons Attribution-NonCommercial-ShareAlike.
Advertisements

Lecture 6 Last lecture: Wave propagation on a Transmission line Characteristic impedance Standing wave and traveling wave Lossless transmission.
Physics for Scientists and Engineers II, Summer Semester Lecture 18: July 6 th 2009 Physics for Scientists and Engineers II.
Economic Equivalence Lecture No.3 Professor C. S. Park
Chemistry 125: Lecture 47 February 5, 2010 Addition to Alkenes a Synthetic Perspective guest lecture by Prof. Jay S. Siegel Universit ä t Zurich This For.
ECE 201 Circuit Theory I1 Assessment Problem #4.1 Page 99 of the text by Nilsson and Riedel.
Electromagnetics (ENGR 367) The Complete Sourced & Loaded T-line.
Electromagnetics II Unit 10 : Dielectric Slab Guide Lecturer: Professor Jean-Fu Kiang Text book: N. N. Rao, “Elements of Engineering Electromagnetics,”
DEPARTMENT OF MATHEMATI CS [ YEAR OF ESTABLISHMENT – 1997 ] DEPARTMENT OF MATHEMATICS, CVRCE.
CHAPTERS 7 & 8 CHAPTERS 7 & 8 NETWORKS 1: NETWORKS 1: December 2002 – Lecture 7b ROWAN UNIVERSITY College of Engineering Professor.
Copyright © 2009 Pearson Education, Inc. Chapter 30 Inductance, Electromagnetic Oscillations, and AC Circuits.
Advanced Microwave Measurements
Fundamentals of Electromagnetics for Teaching and Learning: A Two-Week Intensive Course for Faculty in Electrical-, Electronics-, Communication-, and Computer-
ENE 428 Microwave Engineering
Lecture 4.  1.5 The terminated lossless transmission line What is a voltage reflection coefficient? Assume an incident wave ( ) generated from a source.
© H. Heck 2008Section 5.41 Module 5:Advanced Transmission Lines Topic 4: Frequency Domain Analysis OGI ECE564 Howard Heck.
Edward C. Jordan Memorial Offering of the First Course under the Indo-US Inter-University Collaborative Initiative in Higher Education and Research: Electromagnetics.
Transmission Line Theory
Slide 6-1 Copyright © 2004 Pearson Education, Inc.
1 RS ENE 428 Microwave Engineering Lecture 5 Discontinuities and the manipulation of transmission lines problems.
Lesson 1.3.2: Adding and Subtracting Imaginary Numbers Pages in Text.
CHAPTERS 6 & 7 CHAPTERS 6 & 7 NETWORKS 1: NETWORKS 1: October 2002 – Lecture 6b ROWAN UNIVERSITY College of Engineering Professor.
Lecture 4: Electrical Circuits
Dan MacLean. Photo by brieuc_s - Creative Commons Attribution License with Haiku.
Logic Circuits Lecture 3 By Amr Al-Awamry. Basic Definitions Binary Operators  AND z = x y = x yz=1 if x=1 AND y=1  OR z = x + y z=1 if x=1 OR y=1 
Lossy Lines and Guides - 1 Transmission Lines and Waveguides 6. Lossy Lines and Guides by Nannapaneni Narayana Rao.
Lecture 2. Review lecture 1 Wavelength: Phase velocity: Characteristic impedance: Kerchhoff’s law Wave equations or Telegraphic equations L, R, C, G ?
1 ELECTRICAL TECHNOLOGY EET 103/4 LECTURERS / TEACHING ENGINEERS: LATIFAH MOHAMED MUHAMMAD IRWANTO SALSABILA AHMAD.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons Figure 2.1 (p. 50) Voltage and current definitions and equivalent.
CIRCUITS and SYSTEMS – part II Prof. dr hab. Stanisław Osowski Electrical Engineering (B.Sc.) Projekt współfinansowany przez Unię Europejską w ramach Europejskiego.
Electromagnetics II Unit 2 : Line Terminated by Resistive Load, Transmission Line Discontinuity Lecturer: Professor Jean-Fu Kiang Text book: N. N. Rao,
Storey: Electrical & Electronic Systems © Pearson Education Limited 2004 OHT 21.1 Example – see Example 21.2 from course text Determine the quiescent output.
FIGURE 6.1 Parallel elements. Robert L. Boylestad Introductory Circuit Analysis, 10ed. Copyright ©2003 by Pearson Education, Inc. Upper Saddle River, New.
Electromagnetics II Unit 5 : Single-stub and Double-stub Impedance Transformers Lecturer: Professor Jean-Fu Kiang Text book: N. N. Rao, “Elements of Engineering.
Chapter 2 Transmission Line Theory (2.1 ~ 2.5) 전자파연구실 1.
Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni.
Electromagnetics II Unit 8 : Uniform Plane Wave Propagation in an Arbitrary Direction, Parallel-plate Waveguide Lecturer: Professor Jean-Fu Kiang Text.
Electronic Circuits, Tenth Edition James W. Nilsson | Susan A. Riedel Copyright ©2015, 2008, 2005 by Pearson Education, Inc. All rights reserved. Figure.
Microelectronic Circuits Spring, 2017
Applied EM by Ulaby, Michielssen and Ravaioli
High Speed Signal Integrity Analysis
The open loop gain of this op-amp is 105 and the bandwidth is 10 Hz
Lecturer: Pn. Wan Nur Suryani Firuz Bt Wan Ariffin ( )
ECE 3301 General Electrical Engineering
Transmission Lines & Resonators
Node Voltage and dependent sources Quiz 2
Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni.
Lecturer: Professor Jean-Fu Kiang
ENE 428 Microwave Engineering
Electromagnetics II Unit 1:Basics of Transmission Lines
Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni.
Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni.
Electromagnetics II Unit 11:Rectangular Metallic Waveguide
Lecturer: Professor Jean-Fu Kiang
Electromagnetics II Unit 3:Lines with Nonlinear Load,
ECE 576 POWER SYSTEM DYNAMICS AND STABILITY
Electromagnetics II Unit 9:Reflection and Refraction of Plane Waves,
Node-Voltage and dependent sources Quiz 2
Lecture 06 - Node Voltage Analysis
Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni.
Basic Matrix Operations
Using the Discriminant and writing quadratic equations
This Month in AJKD American Journal of Kidney Diseases
Warmup Blue book- pg 105 # 1-5.
Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni.
Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni.
4th Week Seminar Sunryul Kim Antennas & RF Devices Lab.
CIRCUITS and SYSTEMS – part I
Lecture 07 - Node Voltage Analysis
Presentation transcript:

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, 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

Circuit Model of Lossy Line (1/2) 2

Circuit Model of Lossy Line (2/2) 3

Solution of Telegrapher’s Equations 4

Characteristic Impedance 5

Input Impedance of Lossy Line 6

Special Cases of Input Impedance 7

Time-averaged Power in a Lossy Line 8

Example 9

Lumped Circuit Model at Low Frequencies 10

Diffusion Equation and Its Solution 11

Example 12

Voltage Distribution at Different Instants 13

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

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

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