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LF: M0MBU's method of measuring Q

To: "LF-Group" <[email protected]>
Subject: LF: M0MBU's method of measuring Q
From: "Dick Rollema" <[email protected]>
Date: Wed, 28 Nov 2001 11:31:14 +0100
Reply-to: [email protected]
Sender: <[email protected]>
Dear OM,
 
On second thought the simple method of measuring Q of a coil described by James Moritz can even be performed when the internal resistance of the signal generator is unknown. If you don't possess a signal generator you could even use your 136kHz or 73kHz transmitter, provided its output can be adjusted to a low value and the harmonic content of the output signal is low.
 
First connect the coil in series with a variable capacitor to the signal generator, which is tuned to 137kHz . Read the output voltage of the generator with a voltmeter or oscilloscope. Carefully tune the circuit for series resonance where the voltage reaches a minimum. Record that value. Now replace coil and capacitor by a low value variable resistor. Adjust the resistor until the voltage has the same value as the one recorded before. Next measure the value of the variable resistor, for instance with a digital multimeter. The value so found is equal to the series resistance Rs of the coil.
 
The inductance of the coil must be known. If not it must be measured. You could also measure the value of the variable capacitor that resonated the coil on 137kHz. Calculate the reactance of the coil: XL = 2 * pi * f * L (or of the capacitor: XC = 1/(2 * pi * f * C) with f = 137kHz. 
 
Now find Q = XL/Rs or XC/Rs.
 
This substitution method has another advantage, apart from the fact there is no need to know the internal resistance of the generator. The voltmeter or oscilloscope is only used as an indicator to set the voltage with the variable resistor to the same value as the one with the coil + capacitor at resonance. So there is no need for calibration, good linearity or a high resistance. Even a simple diode, followed by a multimeter could do the job, provided the voltages to be indicated are sufficiently large to provide a reliable indication using that simple arrangement.      
 
73, Dick, PA0SE
 
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