Before I continue, I'll try to briefly explain how
active noise cancellation works.
Sound travels through the air as a waveform. As with all waves, when two of them meet, they will add up. So two identical but
opposite waveforms will
cancel each other out. The noise cancellation circuitry inside these kinds of headphones uses a tiny microphone to pick up the ambient sound, inverts it's waveform and adds it to whatever sound it's playing through its speakers, effectively cancelling out ambient sound reaching your ear directly.
Ok, forget what I just said - here's a drawing.
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