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best way to measure Q

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uer166:
Seems like the inductor truly had a terrible Q at those high frequencies (lossy material). I tried another core which is Kool mu with much better results, Q measured at around 108 at 133KHz with ring-down method. De-coupling the function gen even further by adding a 1k resistance in series with it (the one-turn winding) brings Q even further to 160. Adding 10Megs in series with oscilloscope probe doesn't change the result much so I can conclude that its' input impedance doesn't affect it much.

In any case the ring-down method now seems perfect for my measurements (High-Q high-frequency power inductors).

The Electrician:
I found a Kool mu core in my core collection (P/N 77439A9) and wound some 14 AWG magnet wire on it.  I ended up with 29 turns.

Using a Hioki impedance analyzer: https://hiokiusa.com/product/impedance-analyzer-im3570/

I measured Q and real part of the impedance over a frequency range of 100 Hz to 1 MHz.  The result of the measurement is shown here.  The Q measurement (green curve) is shown on a linear scale, 100 milliohms at the bottom of the plot and 500 ohms at the top.  The real part of the impedance (yellow) is shown on a log scale with 1 milliohm at the bottom and 50 ohms at the top.

The Q reaches a maximum of 248.9 at about 23 kHz.  The real part begins rising briskly beyond the Q maximum.  Some of the increase in the real part is no doubt due to skin effect losses in the solid magnet wire, and some is due to core loss.

The Electrician:
To show the behavior of an inductor above self resonance, here's a another sweep.  This is a commercial 10 mH molded toroidal inductor.  This inductor is rather small and is no doubt wound with many turns of very small magnet wire.

Both plots, Q (green) and Rs (real part, yellow) are shown on a log scale with the upper and lower values of the each plot shown in the upper left part of the image.  The A marker is set to about 100 kHz, and the first self resonance is at about 160 kHz.  The sweep in this plot goes up to 5 MHz and we can see a number of parasitic resonances:

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