[SI-LIST] Re: Open Termination

  • From: "Sandor Daranyi" <sandord@xxxxxxxxxxxxx>
  • To: si_monkey2@xxxxxxxxx
  • Date: Thu, 16 Sep 2004 09:07:04 +1000

Hello Sitar,

Others have already given good information regarding your questions but sin=
ce you asked for something intuitive, maybe I can add something worthwhil=
e.  The warning is that intuitive explanations can often be oversimplific=
ations.

> -----Original Message-----
> From: Sitar Moniker [mailto:si_monkey2@xxxxxxxxx]
> Sent: Wednesday, 15 September 2004 7:48
> To: si-list@xxxxxxxxxxxxx
> Subject: [SI-LIST] Open Termination
>=20
> In SI and HSDD books, they assume that open termination offers infinite
> impedance. My understanding is open end line is exposed to air which has
> about 377 ohms.
>=20
> 1) How do you get infinite impedance for unterminated line?

The easiest way to see what happens is in terms of energy. (Looking at what=
 happens to energy is a very useful technique when trying to understand s=
omething like this.) The driver pumps energy into the transmission line. =
The resulting energy wave travels down the line at close to the speed of =
light and eventually reaches the end. The energy COULD continue to travel=
 in air but you would need a coupling mechanism between the transmission =
line and free air. If there is no coupling, it is irrelevant what would h=
appen in air, or indeed that it's 377ohms. If energy can't be transferred=
, then by definition the impedance must be infinite. If it weren't, there=
 would be a finite impedance and energy could be transferred.

Nothing is perfect in the real world, so there can be some little coupling =
e.g. due to losses and radiation from the transmission line, so the menti=
oned infinite impedance is only an approximation, but for most practical =
cases, quite a valid one.

Of course, if you have an antenna at the end of the transmission line, sudd=
enly you do have a coupling mechanism and the story changes. Everything g=
ets a bit trickier though, because now you would have things like radiati=
on efficiency and the antenna itself would behave like an impedance trans=
former between the transmission line and free air.

> 2) Is there any intuitive way to show that voltage at the open end
> doubles- other than using math: ref. coeft. =3D +1?
 
From the previous answer, you may already see what happens here. When the f=
ace of the energy wavefront reaches the end of the transmission line and =
more energy still keeps arriving, it won't jump into air and it won't pil=
e up there, either. Instead, it will get reflected and the reflected wave=
 will get superimposed on the arriving part of the wave. Why twice the vo=
ltage? Due to voltage superposition, which should sound familiar from bas=
ic electronic theory (a quick "voltage superposition" google search threw=
 up: http://www.allaboutcircuits.com/vol_1/chpt_10/6.html).

Sandor

------
Sandor Daranyi
Snr Design Engineer



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