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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

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 to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket Reply
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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