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RE: Efficiency & Resistance

There is the loudspeaker driver electro acoustic efficiency which is governed by a number of internal parameters however, impedance isn’t one of them. One can have a speaker with the same efficiency with a 4 ohm, 8 ohm or 16 ohm coil (although this would be rare given market needs).
The difference is what gage wire is used, as long as the total volume of copper in the gap and the magnetic field is the same, then the efficiency stays constant. A smaller gage wire allows turns, more L or length in the BL term but a longer L and smaller diameter means the Rdc term is larger.
Part B is that transistor amplifiers generally deliver more power into a lower impedance load while tube amps are often happier driving a higher impedance.
In terms of headroom, usually an amplifier reaches Voltage clipping first or Current limiting first, the most headroom / largest peak power is had with a load where both are reached at essentially the same time.
Best,
Tom



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