Coil winding conundrum
Wed, 12 Apr 2000 09:18:51 -0400
Talbot Andrew wrote:
> Moving from LF to MF for a bit, here's a problem for the topband
> operators and loading coil winders.
> At the weekend I made a loading coil to resonate the LF Tee antenna on
> topband. 34uH was needed and the only suitable former to hand was 40mm
> plastic drain pipe - the white type with no significant RF loss.
> First off I used 27 turns close wound of 1mm enamelled wire (which was
> all that I had of that wire), and completed the coil with 20 turns of
> 0.7mm diameter tinned copper with turns wide spaced at 3mm to allow
> tapping points.
> This worked fine but I noticed the coil got a bit warm with 100 Watts
> and decided I needed a higher Q....
> So, I made some Litz wire by twisting 20 strands of 0.25 mm diameter
> enamelled, which gives a copper X-sectional area a bit more than 1mm
> diameter equivalent. Overall Litz wire diameter about 1.8mm.
> 40 turns of this, close wound with a few taps gave near enough the same
> inductance value for a winding length of 72mm
> Q was measured by connecting a 680pF cap in parallel, exciting the
> circuit with a one turn coupling coil driven from a synth, very loosely
> coupled and monitoring voltage across the coil with a x10 scope probe.
> Peak response frequency was noted and then the points either side where
> the response fell to -3dB (0.707) to get the bandwidth. Then Qu = CF /
> Now for the interesting bit. When it came to measure the unloaded Q of
> each coil, the original one was a fair bit higher at Qu = 140, compared
> with the Litz wound coil with Qu = 95. Both coils were the same
> diameter, same inductance, and roughly the same length in total. So
> why was the one made of plain wire better ? Self capacitance ? Q
> was only measured at 1 MHz, perhaps I should try measuring gain at a
> lower frequency.
> Puzzled and curious..................
> One interesting aside to come out though. Rayners formula for
> inductance predicted the values of each coil to better than 10% and
> bears out observations I've made over the years - such a simple
> formula for wound inductors is too good to be true, working over a range
> in excess of 1000000 : 1
> L(uh) = (D.N) ^ 2 / (460.D + 1020 * length) D = mean
> diameter, mm N = turns
> Andy G4JNT
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