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[AMPS] Pi-Net math

To: <amps@contesting.com>
Subject: [AMPS] Pi-Net math
From: measures@vc.net (Rich Measures)
Date: Wed, 4 Aug 1999 09:05:32 -0700


>
>
>On Wed, 4 Aug 1999 04:39:07 -0700 Rich Measures <measures@vc.net> writes:
>
>>Ä   RL = 2000 ohms.  R out equals 50-ohms.  Freq = 7.00MHz.  Q = 10  
>>Therefore, C1 = 2000 ohms/10 = 200 ohms.  From calculation, C1 = 114pF, 
>>C2 = 562pF, L = 5.06uH.   Since C1 is effectively in series with C2, 
>>C-net = 94.8pF.  The resonant freq. of 5.06uH in parallel with 94.8pF is
>
>>7.266MHz.  
>>
>>-  cheers, Tom
>>
>
>Hi Rich,
>   You didn't detail the formulas you used for L & C2 but, from your C1
>calculation, I note that you are using the classic "time-dishonored"
>approximation which is close enough for amateur work (as long as the Q is
>reasonably high) though, certainly not mathematically precise to support
>the argument du jour.  :-)

?   With Eimac's *Care and Feeding of Power Grid Tubes* formulae, Q is 
Definined as RL divided by the reactance of C1.  There is no 
approximation. 
-   On my Web site, there is an Excel 4 worksheet that performs 
mathematically precise solutions to the Care and Feeding calculations for 
those who are disinclined to exert themselves.  //  The bottom-line is 
that a Pi-network (double L-network) is not resonant on the operating 
frequency.   If it were resonant, it could not transform.  .  .  However, 
it's close enough to resonance to act like a flywheel.  //  When I was 
15, an OT (Keith Williams, W6DTY) told me that Pi-networks are more 
complicated than they look.   .  .  You were right, Keith.  
>
-  later, Marv


Rich...

R. L. Measures, 805-386-3734, AG6K, www.vcnet.com/measures  


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