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[Amps] Resonance

To: amps@contesting.com
Subject: [Amps] Resonance
From: Peter Chadwick <g3rzp@g3rzp.wanadoo.co.uk>
Reply-to: g3rzp@g3rzp.wanadoo.co.uk
Date: Sun, 6 Aug 2006 14:10:38 +0200 (CEST)
List-post: <mailto:amps@contesting.com>
You can use a GDO to measure impedance, although you need some stuff to go 
with. Make a coupling loop fixture, so the coupling is constant: put the 
impedance to be measured across the loop,  set GDO to frequency (using a 
receiver or better, a counter), note grid current. remove the impedance. If 
frequency goes up, it's inductive, and down, it's capacitive. Note how far the 
frequency has changed, and place capacitors or inductors as appropriate across 
the coupling loop to get the same frequency as with the unknown in place. In 
practice, get values that straddle the frequency. Now add either series or 
shunt resistance. If the load is capacitive, you may be better off with high 
values in shunt, although higher value resistors tend to be capacitive. Find a 
resistance which gives the same grid current as the unknown at as close to the 
same frequency as possible. You now have an approximation in terms of parallel  
R and C or series R and C (or L). The method will work for Q, but I 
 suspect, won't be very sensitive.  By getting values that straddle the 
frequency and grid current, you can interpolate to find the unknown.
This isn't going to be anything other than a rough and ready method, but it 
should get one into the ballpark.
As far as measuring inductors is concerned, a comment that 'such and such 
measures to 1%' is pretty meaning less without defining the conditions, such as 
frequency and range of measurement. Apparent inductance and Q both vary wildly 
with frequency. The measurement methods vary with value and frequency too, so 
for example, trying to measure a 50nH chip inductor at 1kHz is not likely to 
give a very good answer. Terman lists the formula for the relationship between 
frequency and apparent inductance and Q for frequencies less than 80% of the 
SRF.
73
Peter G3RZP
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