Getting more volume or SPL (sound pressure leve)l. Is more related to getting more air pressure.
In a nutshell using more speakers or moving more air is the easier way to do it.
Then again if your expecting a minimal amount of speakers to get louder. That cone has to move back and fourth more... and move more air.
so yes technically it requires more voltage/current or watts to get the speaker to move more air.
of course as we know, the actually limit of how much extra power eventually is limited, cause the speaker will reach high distortion.
at that point throwing more power at it is pointless.
Increasing sensitivity of the system or sensitivity of the speaker helps to move more air with less power. A system rated at say 96dB will put out less sound pressure than a system rated at 99dB. likewise the 99dB system needs less power to reach the same SPL
every time you double the effective speaker area you gain 3dB. example would be a 96dB 2x10 becomes a 99dB 4x10
as with wattage in general 10x power is needed to gain 3 dB. meaning 100 watts opposed to 1000 watts.
as you can see eventually its much easier to add more speakers.
As far as getting more power from a amplifier its related to Ohms law. So yes a 4ohm load will draw more Current/ wattage than a 8ohm load.
Following basic ohms law a lower impedance uses more current. So yes wattage will be higher with a lower impedance. impedance or resistance refereed to as Ohms.
or 4 ohms is a lower impedance than 8 ohms
ohms law is little different for AC voltage ( sound) then DC but its all the same formula. You just have to use RMS values for amplifiers or AC waveforms
say a amplifier made a AC voltage at 80 volts Vpp or voltage peak to peak. RMS value would be 28 volts
28 volts into 8 ohms would be 98 watts or 3.5 amps of current
28 volts into 4 ohms would be 196 watts or 7 amps of current
as you can see if voltage remains the same the 4 ohm load requires more current than the 8 ohm load.
So yes technically we are getting more " watts " that is assuming the amplifier has a power supply that will provide that extra current. which is the heart of any amp and the watts it can provide. how big or how much current it can provide. how far a speaker moves forward or back is related to voltage. more voltage, more it moves
With tube amps its a little different. The tubes also have a max voltage swing. but they cannot be directly coupled to a speaker. that is done with the output transformer.
A tube amp say rated at 100 watts will make 100 watts into 4 ohms or 8 ohms, and however many taps that are provided.
It works that way cause tubes need to drive a certain load to work proper. Lets say 4k ohms or 4000 ohms. little bit higher than 8 ohms LOL
so you use a transformer. one side of the transformer is wound to provide a 4k load for the tubes. the other side is wound to provide a 8 ohm load for the speaker.
Transformer works in ratios, so if you change one side, the other side changes. So if you put a 8 ohm speaker on a 4 ohm tap. the ratio would change and the tubes would also operate at the wrong impedance.
this is why they have several taps on a transformer so the tubes and cabinet remain at the correct ratio. But power and overall voltage swing remains the same.
Getting more power from a tube or solid state is basically the same. eventually you need more voltage, and likewise enough current to maintain that voltage.
Benefit with solid state devices is they can drive 8 or 4 ohms directly. They dont need a transformer. As with tubes, they need high voltage and can only drive 3000 to 8000 ohms.
so you need a transformer to couple them to a low impedance
thanks again, Bogeybass. You have been more than helpful. Can I bother you with a few more dumb questions? Impedance is resistance, right? so adding a cab reduces resistance? and increases volume, for instance? but reduces power output (wattage?) all very confusing to me.