this is the video I mentioned. so you're saying he needs to test out various signal frequencies to do a proper test?
no, i don't think frequencies are that critical to test or demonstrate induced currents between coils. .
It is hard to include everything in such a video. i will give one example: The horizontal coil, if it is placed so the center height of it is centered with the heights of the other coils, there is a null point that can be exploited for lower or even null the interactions at some angles. the potion and angle is more sensitive the closer you get. Think of it in terms of 3 dimensional space not just the two dimensions with the pcb being a fixed plane.
Think of a null location this way...if a coil is in a location that can induce noticeable currents but is positioned so one half a coil is in the field that induces a current flow in one direction and the other half is in a field that can induce a field in the opposite direction, the two induced currents will cancel each other out, and the net result is no induced current flow though the coil. so no induced signals between the two (works both ways).
depending on the angles and distances, the position null point can be very small.
These are things you can see an experiment with if you can inject signal(s) and see them on a scope to see the interactions.
those simple charts for positioning inductors, at a high level i don't disagree with, but, its just not the full story and is a bit too drummed down. the videos you posted dives deeper and that is very cool. but if you play around with it you yourself you soon see there is more to know and things you can do that seem to fly in the face of the conventional wisdom.
A statement that made in the video that you can not completely get rid of interactions without them being way far away is summing you will find there is an exception to that where if the coils are at a point were the fields can cancel each other out in combination with the angle at which the magnetic field crosses at angles that can only produce week currents at best. so the net is there is no interaction. problem with this kind of setup is that the position for it to be zero can very sensitive. Again i am just saying that there is always more to know not that the info presented, not that it is in any way wrong. but unless your going to dive deep and test each crossover, then using angles / positions that are less sensitive to height and angle changes are a wise choice.
i am unsure if i have enough coils laying around to do a video demonstrating all this. it be nice to just add to the info already demonstrated.. it would be a long video though..
on frequency changes....changing frequency changes the inductive reactance and will change voltage / current that gets applied. its best to stick with a single frequency for the testing so your doing apples to apples when it comes to the induced signal A frequency sweep when you think you have things set is worth while just co confirm things.. same goes for sweeping phase angle when ejecting signals into multiple coils.. you have to consider that the signals at the coils Weill not be in phase with each other so when testing multiple coils that are postpone close enough that the there within each others magnetic fields, that is summing to consider.
Take the hivi crossover as an example, the coils are way to close. so without some carful positioning, your goin to have a lot of interactions. So i made a lot of use of finding the null points to drastically reduce interactions. but with 4 coils, its a bit of a jigsaw puzzle tying to get them all at zero interactions, so there is a little compromise. in one example raising one coil by 2mm made a huge difference in the amount of current / voltage being induced.
i am sure there are other combinations of positions that would be just as good, but that's what i came up with.
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i totally agree though, if it is an option, distance is your friend.
if you have a spare hivi crossover board, you should try out the mounts i made , do measurements in comparison to the conventional mount positions and with the new mount positions, ... also change those mount angles and watch the changes. i think you will find it very interesting and informative, and a bit counters intuitive but at the same time might clarify some things that help you in future layouts
oh, if you do this, load down the "receiving" coil with a resistor, i've used 8-60 ohms with good results so whatever you have on hand is likely ok, just avoid using a high value resistance.. it helps prevent picking up noise. and also insure your dealing with actual induced signals that make a difference not low current stuff that shouldn't drive a speaker anyway. it is easy for a test setup to pick up noise from the signal generator without such a load that is not induced thought he pol interactions, so defiantly use a load resistor across the receiving cool.
Also it helps to have a scope that can go down to 500UV because when you get down to nulling those coils out, the signals will be down in the noise. i got to a point where the signals were so low, that i was getting more signal from the wires radiating than then from the coils. When you get things down that low, you pretty much met your goals anyway.
for frequency i picked frequencies that had a reasonable inductive reactance ... again in that 8-60 ohm range seems to work well for me. i happened to match the resistance to the inductive reactance when testing .. that made fore easy math for me to get a good idea of the actual amount of signal being induced, but, .. you don't totally doo not need those kind of exact measurements so for back of the matchbook testing its not critical at all as your really doing comparative analysis anyway. position A vs position type things.
hope that helps explaining my observations
if you wanna dig deep into this, maybe we can pick this up on its own thread and post results there etc.