Holy moly there are some fundamental misunderstandings here!
OK, so you guys remember that V*A=W, right? Good.
And you remember Ohm’s law? OK.
Holy Moly - you never read any book on Impedance matching (nor even carefully reading others responses). Guess what? You made a fool of yourself and so arrogantly as well! Right? -No and there is more to electronics than Ohm's law in a DC circuit and that includes the subjects here. How really silly of you!
![Laughing :-DD](https://www.eevblog.com/forum/Smileys/default/smiley_laughing.gif.pagespeed.ce._hfWAz_QHO.gif)
I’ll be the first to tell you that I don’t really understand transmission lines — but I also know that headphones (and audio in general) doesn't fall into that category. Luckily, others here that do understand both audio and transmission lines have already confirmed what I said and explained why.
I never imagined that you know jack about transmission lines. However, I still am the first to tell YOU that you know nothing about impedance matching which applies to more than transmission lines. You know nothing about power transfer - and you still think you have something to contribute instead of something to learn. Read some books on electronics - read past the page on Ohms law.
I did transmission lines in college so have a fairly good understanding of them, but I've not used most of it, so I admit I'm rusty.
Yes, impedance matching does apply to areas, other than transmission lines (more later) but audio is not one of them, unless you're talking about old telephone lines, which is not what this thread is about.
How long are your headphone speaker cables? The wavelength of 20kHz is 15km through a vacuum, but it will be a bit shorter in a cable, so call it 10km, assuming a velocity factor of
2/
3, so unless your cables are hundreds of metres long, impedance matching is a non-issue.
The only other reason we might want impedance matching is for maximum power transfer, but this in't applicable to modern amplifiers. To achieve maximum power transfer, the load impedance, should be matched to the source impedance, but assuming the source impedance is resistive, the maximum efficiency will be 50%, as half of the power is dissipated in the source. To get a decent efficiency, the source impedance needs to be much less than the load, ideally zero. Old valve amplifiers had a very high output impedance, so a transformer was required to enable it to drive a low impedance speaker efficiently, but nowadays it's completely unnecessary. Modern amplifiers have a very low output impedance, so impedance matching transformers are obsolete.