NUS/ECE
EE2011
Transmission Lines Basic Theories
1 Introduction
At high frequencies, the wavelength is much smaller than
the circuit size, resulting in different phases at different
locations in the circuit.
Quasi-static circuit theory cannot be applied.
Maxwell's equations
History of Maxwell's equations.
Maxwell's equations are a set of partial differential equations that, together with the Lorentz force
law, form the foundation of classical electrodynamics, classical optics, and electric circuits. These
Understanding the Transmission Line Theory
This section:
Discusses how the discrete lumped model of the U Element transmission line explains
characteristic impedance and transmission velocity
Uses the concepts of self and mutual inductance to explain cros
Waveguide theory
the basics of RF waveguide theory including TE waves, TM waves and TEM
waves, etc. including waveguide propagation constant.
In this section
Waveguide basics
Waveguide theory
Waveguide impedance
Waveguide cutoff frequency
Flexible wavegui
Chapter 1
Maxwells Equations
The teaching of electromagnetic theory is something like that of American History in school; you get it again and again. Well, this is the end of the line.
Here is where we put it all together, and yet, not quite, since it is
PLANAR TRANSMISSION LINES
Definition: A planar TL is a TL with conducting metal strips that lie
entirely in parallel planes. The most common structure is one or
more parallel metal strips placed on a dielectric substrate material
adjacent to a conducting
Planar Transmission Lines
by Manfred Thumm and Werner Wiesbeck
Forschungszentrum Karlsruhe
in der Helmholtz - Gemeinschaft
Universitt Karlsruhe (TH)
Research Universityfounded 1825
Standard Waveguides
Coaxial Lines, Parallel Lines: TEM Wave
Air Twin Line
Fundamental Waveguide
Theory
UCF
Types of Waveguides
1. TEM and quasi-TEM waveguides
2. Metallic waveguides (TE and TM modes)
3. Dielectric waveguides (TE, TM, TEM or
hybrid modes)
UCF
TEM and Quasi-TEM Waveguides
TEM:
Strip Line
Rectangular Coaxial
r
r
r
Understanding the Transmission Line Theory
This section:
Discusses how the discrete lumped model of the U Element transmission line explains
characteristic impedance and transmission velocity
Uses the concepts of self and mutual inductance to explain cros
ECE 134
Introductory Electromagnetics
Prof. York
Review of Transmission-Line Theory
The term transmission-line in electromagnetics is commonly reserved for those structures which
are capable of guiding TEM waves. Transmission-lines are a special class of
Permeability (electromagnetism)
Simplified comparison of permeabilities for: ferromagnets (f), paramagnets(p), free space(0)
and diamagnets (d)
In electromagnetism, permeability is the measure of the ability of a material to support the
formation of a mag
Electric Field Lines
Action at a Distance
Electric Field Intensity
Electric Field Lines
Electric Fields and Conductors
Lightning
In the previous section of Lesson 4, the vector nature of the electric field strength was discussed.
The magnitude or strength
WaveGuide
New transmission technology
on the bay/station level
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CHECK YOUR UNDERSTANDING
1. Several electric field line patterns are shown in the diagrams below. Which of these
patterns are incorrect? _ Explain what is wrong with all incorrect diagrams.
See Answer
C, D and E
In C, the lines are directed towards a posi
Uniform Plane Waves in
Lossless Media
UCF
Phasor Form Representation
u ( z, t ) u ( z, t ) u ( z, t )
A cos( t kz A ) B cos( t kz B )
Re (Ae j A e jkz e j t ) Re( Be j B e jkz e j t )
U Ae j A e jkz U 0 e jkz (propagating in +z direction)
U Be j B e jkz
UPW-for all the points in the plane which is perpendicular to the direction of propagation, electric and
magnetic field are uniform.
Types of waveguides
1. TEM and quasi TEM e.g. Coaxial, strip line, rectangular coaxialTEM; microstrip, slot line,
coplanar
Permeability (electromagnetism)
Simplified comparison of permeabilities for: ferromagnets (f), paramagnets(p), free space(0)
and diamagnets (d)
In electromagnetism, permeability is the measure of the ability of a material to support the
formation of a mag
Maxwell's Equations and Electromagnetic
Waves
Michael Fowler, Physics Department, UVa
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Maxwell's four equations describe the electric and magnetic fields arising from distributions of
electric charges and curr
Waveguides
A waveguide is a structure that guides waves, such as electromagnetic waves or sound waves.
They enable a signal to propagate with minimal loss of energy by restricting expansion to one
dimension or two. This is a similar effect to waves of wat
UPW-for all the points in the plane which is perpendicular to the direction of propagation, electric and
magnetic field are uniform.
Types of waveguides
1. TEM and quasi TEM e.g. Coaxial, strip line, rectangular coaxialTEM; microstrip, slot line,
coplanar
Vacuum permittivity
This article is about the electric constant. For the analogous magnetic constant, see vacuum
permeability. For the ordinal number 0, see epsilon numbers (mathematics).
The physical constant 0, commonly called the vacuum permittivity, p
Maxwell's equations and the secrets of nature
by Marianne Freiberger
Submitted by mf344 on December 18, 2015
James Clerk Maxwell (1831-1879).
2015 is a year of anniversaries. We've celebrated the centenary of Einstein's general theory of
relativity, and t
Waveguides
A waveguide is a structure that guides waves, such as electromagnetic waves or sound waves.
They enable a signal to propagate with minimal loss of energy by restricting expansion to one
dimension or two. This is a similar effect to waves of wat
Check Your Understanding
Use your understanding to answer the following questions. When finished, click the button to
view the answers.
1. Several electric field line patterns are shown in the diagrams below. Which of these patterns
are incorrect? _ Expla
Key questions
Tutorial 1:
SubAtomicPhysics: Nuclear Physics
In the experiment of Rutherford, Geiger and Marsden a particles of energy 7.7 MeV were incident
on a gold nucleus 197Au (Z=79). Estimate the distance of closest approach of the alpha particles to
ELEG 5523 ELECTRIC POWER QUALITY
Second Homework Assignment on Harmonics
Consider a 480-V three-phase controlled rectifier based on thyristors and supplying a 5- resistive dc
load. A 10-mH inductor is used on the dc side between the controlled rectifier a
ELECTRIC FORCE AND ELECTRIC CHARGE
Introduction
Ordinary matter consists of atoms. Each atom consists of a nucleus, consisting
of protons and neutrons, surrounded by a number of electrons. The masses of
the electrons, protons and neutrons are listed in Ta
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