
Explore 28 common filters and apply LC resonance to identify high-pass, low-pass, band-pass, and band-reject configurations across series and shunt arrangements.
Explore transmission line theory across two-wire, coaxial, and microstrip lines, and how ZL and Zs determine signal transfer under varying frequencies.
explains how wave speed drops from vacuum to media using μr and εr to set L and C per unit length, giving vp = 1/√LC and λ0/√εr.
Explore wave propagation on an infinite lossless line, analyzing voltage waves Acos(βx - ωt) and Acos(ωt + φ) with phasors A∠0 and A∠φ, noting constant amplitude and changing phase.
Explore the reflection coefficient Γ and how it links incident and reflected waves to Z0 and ZL, yielding Zin(d), return loss, and VSWR, and explain the matched line condition.
Derive Zin(d) in terms of Z0, ZL, and position d, and explain how reflections create the transmission line effect that converts load impedance to the input impedance at one-eighth wavelength.
Analyze how a matched load (ZL=Z0) eliminates transmission line effects and impedance conversion, and how shorted or open lines create reactive impedances via jZ0 tan βd or -jZ0 cot βd.
Explore the microstrip line on printed circuit boards, deriving characteristic impedance from substrate thickness and width while addressing real-world effects like board size, ground plane proximity, coplanar striplines, and fringing.
Explore how transmission lines convert impedance and support wave propagation through a real-valued Z0, with reflections, matching conditions, and how line width, discontinuities, and bends affect impedance and standing waves.
A must-have knowledge for every E.E. engineer in the era of wireless communication, high-frequency and high-speed electronics.
Do you feel challenged by transmission line and its significance in modern electronic systems?
Are you intrigued by high-frequency electronics and the mysteries of microwave engineering?
Are you seeking a clear, concise introduction to microwave engineering that will empower you to excel in your design?
Look no further than "The Key to Microwave Engineering: Transmission Lines" - The third course in The Tao of Phasor Series.
The goal of this course is to make transmission line theory more accessible in the simplest way possible.
This course is not just about analyzing transmission lines with phasors:
With high-quality content and insightful lessons, you'll have a solid foundation in transmission line theory.
Our focus is not just on the HOW, but also on the WHY and the evolution of analytical methods in this field.
We will point out the key to turn the electromagnetic perspective into the circuit perspective.
We will visually demonstrate the propagation of voltage and current waves through time and position on a line.
We will provide a concrete illustration of the physical significance of the characteristic impedance.
Without difficult math!
By the end of this course:
You'll have a solid foundation in resonance, common filters, and transmission line theory that underpin microwave engineering and will impact your entire electrical engineering career.
You'll learn about the properties and behavior of transmission lines, such as wavelength, wave speed, propagation constant, cut-off frequency, standing wave, and characteristic impedance, etc. You'll also learn how they affect the performance of your circuits.
You'll also gain a practical understanding of microstrip lines and microwave filters to avoid mistakes in implementing micropstrip lines on PCBs.
You'll be able to design high-frequency circuits with confidence and accuracy.
Join us on this journey and get your foot into the door of microwave engineering!
Course Highlights:
LC Buckets and Resonance
28 Common Filters (1) - All passive elements
28 Common Filters (2) - Amplifiers come into play
Types of Transmission Line
Small Segment of Transmission Line
Infinite-length Line
Solve Transmission Line Equations By Phasor
Lossless Line and Solution of Waves on Infinite Lossless Line
Direction of Wave Propagation
Wavelength and Wave Velocity
Wavelength and Velocity in Medium
Wave Propagation on an Infinite Lossless Line
Observing Wave Propagation on the Line
Definition of Characteristic Impedance
Another Point of View of Characteristic Impedance
Cut-off Frequency
Physical Meaning of Characteristic Impedance
Wave Inteferences
Finite Line and Standing Wave
Reflection Coefficient
Transmission Line Effect
Short- and Open-terminated Lines
Quater-wave Line
Half-wave Line
Example
Microstrip Line
Insights