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Re: [Amps] Relationship between Q and SWR in PI network.

To: Paul Baldock <paul@paulbaldock.com>, "amps@contesting.com" <amps@contesting.com>
Subject: Re: [Amps] Relationship between Q and SWR in PI network.
From: "Fuqua, Bill L" <wlfuqu00@uky.edu>
Date: Sat, 26 May 2018 02:41:44 +0000
List-post: <mailto:amps@contesting.com>
Should be 212+j212 I believe to produce impedance of 300 Ohms.

Bill


________________________________
From: Paul Baldock <paul@paulbaldock.com>
Sent: Friday, May 25, 2018 4:48 PM
To: Fuqua, Bill L; amps@contesting.com
Subject: Re: [Amps] Relationship between Q and SWR in PI network.

I found an online calculator 
http://chemandy.com/calculators/return-loss-and-mismatch-calculator.htm

<https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fchemandy.com%2Fcalculators%2Freturn-loss-and-mismatch-calculator.htm&data=02%7C01%7Cwlfuqu00%40uky.edu%7C83bb5e5c7ddc46fa897708d5c280fa63%7C2b30530b69b64457b818481cb53d42ae%7C0%7C0%7C636628781578025330&sdata=Ae0PeTw8o3e1a8o5%2B%2BC3F4WRRh0%2Bp0XWyBFwtbGto%2Fo%3D&reserved=0>A
 resistive load of 300 Ohm in a 50 Ohm System represents about a 3dB loss over 
a 50 Ohm load. A resistive load of 300 Ohms is 6:1 SWR. I also tried a load of  
150+150J, which gave a similar 3dB loss and SWR 6:1.

With a known test circuit, my MFJ259 shows about 4:1 at the 3dB points.

Close enough I think.

- Paul



At 01:15 PM 5/25/2018, Fuqua, Bill L wrote:

   It is not an easy comparison.

A pi network is modeled by 2 back to back L-networks. Each having a Q.

So the bandwidth of these are somewhat smaller than a single LC network.

  Also, 2:1 points in SWR are not the same as the -3 dB points.  -3 dB points 
are

where only 1/2 of the power passes thru the filter. 2:1 SWR represents about 
89% power

passed thru the system.

   I went thru this exercise many years ago and but it has been to long since I 
had done the

math.


73

Bill wa4lav




________________________________
From: Amps <amps-bounces@contesting.com> on behalf of Paul Baldock 
<paul@paulbaldock.com>
Sent: Wednesday, May 23, 2018 6:09 PM
To: amps@contesting.com
Subject: [Amps] Relationship between Q and SWR in PI network.

Does anybody know the relationship between Q and SWR for a PI network?

For example let's say I design my amp PI output network for 7.0MHz. I
simulate the Tube Impedance with a 1K resistor. I put my MFJ259 on
the output of the PI and tweak the load and tune caps for a perfect
1:1 (50 Ohm) SWR. I now leave the caps where they were and adjust the
frequency to show the upper and low 2:1 SWR points and they are
7.2MHz and 6.8MHz. (2:1)=Fo/(Fu-Fl)=7.0/(7.2-6.8)=17.5. In practice
this is in fact about 1.5 times my design Q, but I would like to know
what theory says.

- Paul  KW7Y

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