Are these components good for audio applications?

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This is the high pass filter on my tweeters.

220mH inductor in parallel, and 3.3uF capacitor in series. My research suggests this is a 6000Hz high pass filter.

Is this bobbin type inductor okay for audio applications?
 
Actually, this will probably blow up your tweeter unless you only play at very low volumes.

The capacitor looks like a unipolar aluminium electrolytic capacitor, which can only handle 1.5 V to 2 V in reverse.

The inductor looks like it has a way too high effective series resistance and a too low saturation current.
 
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Check that the capacitor is of the bipolar (or non-polarised) type required for loudspeaker crossovers, i.e. it shouldn't have +ve and -ve ends.

For an 6 ohm tweeter crossing at 6,000 Hz using a 3.3 uF capacitor, I'd expect the inductor value to be in the order of 0.25 mH so your inductor is not suitable.
 
They have been performing quite well with my apparently apocalyptic set-up.

If you want to settle for "quite well" then so be it.

You obviously had doubts about the components or you wouldn't have made the thread.

If you want the performance to be 'optimum' then I suggest you use the recommended type of component.

For a 6 ohm tweeter crossing at 8,000 Hz, use 2.0 uF and 0.12 mH.

P.S. 2.2 uF is the nearest standard value, but you may use two 1.0 uF connected in parallel (side by side) to get 2.0 uF.
 
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Impedance is 6 Ohms. They are Dayton Audio PTMini-6 Planar Tweeters.

This thread is most confusing. They have been performing quite well with my apparently apocalyptic set-up.

If you are happy with the sound and if the inductor is really 220 mH and not 0.22 mH, then you could consider replacing the capacitor with a 3.3 uF bipolar electrolytic capacitor and leaving out the inductor altogether. The sound will be very close to what it is now without the risk of blowing up the tweeter when you turn up the volume a little higher than you usually do.
 
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That's a good suggestion from Marcel.

A single 3.3 uF will give you a crossover point of 8,000 Hz, albeit with a slower roll off than that of the LC filter I suggested.

This simple arrangement is how many listeners prefer to filter their super tweeters.
 
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And even if distortion is quite high you will almost not here it anyway. Second harmonic will land on 16kHz which.... you almost do not hear.
Third harmonic will be at 24kHz so you can say that you have enhanced the experience by adding information that was eliminated in the recording! Cool!