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Using the Smith Chart to match the appropriate circuit elements to a line.

This gets us to "B", and we find that Z L Z 0 1 1.2 .Now this is a very interesting

The load impedance
result. Suppose we take the load off the line, and add, in series, an additional capacitor, whose reactance is 1 j ω C 1.2 Z 0 .

Matching the load with a capacitor

The capacitor and the inductor just cancel each other out (series resonance) and so the apparent load for the line is just Z 0 , the magnitude of the reflection coefficient (Γ)= 0 and the VSWR 1.0 ! All of the energy flowing down the line is coupled to the load resistor, and nothing is reflected back towards the load.

We were lucky that the real part of Z L Z 0 1 . If there were not that case, we would not be able to "match" the load to the line, right? Not completely. Let'sconsider another example. The next figure shows a line with a Z 0 50 , terminated with a 25 resistor. Γ L 1 3 , and we end up with the VSWR circle shown in the subsequent figure .

Matching with a series capacitor
Plotting Z L Z 0

How could we match this load? We could add another 25Ω in series with the first resistor, but if we want to maximize thepower we deliver to the first one, this would not be a very satisfactory approach. Let's move down the line a ways. If we goto point "B", we find that

Moving to the "right spot"

at this spot, Z s Z 0 1 0.8 . Once again we have an impedance with a normalized real part equals 1! How far do we go? It looks like it's a littlemore than 0.15 λ . If we add a negative reactance in series with the line at this point, with a normalized value of 0.8 , then from that point on back to the generator, the line would "look" like it was terminated with a matched load.

There's one awkward feature to this solution, and that is we have to cut the line to insert the capacitor. It would be a loteasier if we could simply add something across the line, instead of having to cut it. This is easily done, if we go over into theadmittance world.

Questions & Answers

what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
yes that's correct
I think
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
scanning tunneling microscope
how nano science is used for hydrophobicity
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
what is differents between GO and RGO?
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Introduction to physical electronics. OpenStax CNX. Sep 17, 2007 Download for free at http://cnx.org/content/col10114/1.4
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