A friend of mine has an AC power to Ethernet adapter cable.
In unrelated news, he was once told that his employer would not replace the horribly out-of-date office printer until it was 100% unrepairably dead, and it mysteriously died a couple of weeks later.
In case you're wondering, some broadcast equipment, such as the Axia Radius, uses Ethernet sockets for the connection of balanced and unbalanced audio.
This simplifies cabling, but you need adapters at the end of each cable to go back to RCA, TRS, XLR etc.
In my home studio I have a Behringer S16 digital snake which connects to my X32 in the control room with only a single CAT5 cable in between. So it's literally sending 16 channels of audio with a single ethernet cable. Pretty cool!
(Seriously, it would be a fun project to stuff a USB powersupply in the 400v plug and a add a USB-c cable to mess with people at work... I'd do it but we only have 230v 3-phase outlets and that plug is probably too small.)
You could use it if you had another one with a female headphone jack. You could play your music to a speaker in another room if you have Ethernet in both rooms. Copper is copper.
I've done this. I've made speaker wire to ethernet adaptors to connect speakers in a different room through the walls to an amp. Feels and probably is so wrong.
While, as you said, both wires will conduct electricity just fine, they will have different AC impedance.
I would guess this wouldn't make much of a difference if you go Audio->Ethernet->Audio, since sound is at fairly low frequencies. But Ethernet->Audio->Ethernet might have problems with really high data rates, like GiB/s.
Hell, 10/100base-t only uses four wires so you could run internet through a 4-pole 3.5; though YMMV depending on the particular 3.5mm's specs. I don't know if drivers would be a problem, but perhaps a 4-pole 3.5 to USB would be handy.
While, as you said, both wires will conduct electricity just fine, they will have different AC impedance.
I would guess this wouldn't make much of a difference if you go Audio->Ethernet->Audio, since sound is at fairly low frequencies. But Ethernet->Audio->Ethernet might have problems with really high data rates, like GiB/s.
So you're saying all those gold plated, vibranium braided, ultra expensive hi-fi cables audiophiles buy can actually help carry good speeds over a useless adapter system?!
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I think you would need another connection (ie. a 3rd stripe, TRRS vs TRS cable) for data transfer. Although digital audio is all data anyways I guess and now I don't even feel right but I've already typed it out.
You joke, but it happens... I've had to deal with it supporting credit card processing. Once had a guy calling on a magic jack complaining that his credit card machine couldn't connect. Once I found out he used the same magic jack for both, I had to explain that in the same way we could barely understand each other through the distortion, the credit card machine was having the same problem.
i made a male version of this 4 times and then bought a ABC RJ45 switchbox for my work desk, so i could choose between computer audio and desk phone audio and cellphone audio through my work headphones.. lets you bump your own music in between calls without dealing with pause buttons etc.. worked great.