I go through some of the math to help you understand how solid state amps work.
Solid state amps generally try to hold the voltage constant regardless of the impedance. This results in the power going up as the impedance goes down. Some amps hold the voltage exactly the same, so you get 2X the power when the impedance is cut in half. Some amps cannot hold the voltage at the same level. The voltage may sag a bit, so they may only make about 150% more power when the impedance is cut in half. Some solid state amps have a switch the changes or limits the voltage...so the power may stage exactly the same at two impedance levels.
Example Mesa 800W Subway amps are rated 400W at 8 ohms, 800W at 4 ohms, and 800W at 2 Ohm. They have a switch that must be toggled if the load is less than 4 ohms.
If this combo has an 8 ohm internal speaker the amp will be able to deliver half of the power. So if you get the One 800, the amp can deliver 400W to the internal speaker. If you add a matching extension the amp can deliver 800W.
Here are the formulas: (Click to enlarge)
View attachment 5213544
Voltage at 400W and 8 ohms
V = sq rt(400 x 8) = ~56.57V
Voltage at 800W and 4 ohms
V = sq rt(800 x 4) = ~56.57V
The Power formula is
P = (V^2)/Z
where Z = impedance
V^2 is 3200.
So P = 3200/Z
So if voltage is held constant, power is determined by the impedance
P = 3200/8 = 400W
P = 3200/4 = 800W
I suggest you don't focus on the power level. Instead focus on how loud the rig can play.
The cabs are rated 103dB 1W/1m
This means with 1W applied, the SPL measured at 1 meter from the cone will be 103dB.
Each time you double the power the SPL goes up 3dB
1W = 103dB
2W = 106dB
4W = 109dB
8W = 112dB
etc
Since you know the usable power is 400W and the sensitivity is 103dB 1W/1m you can also use a formula.
Calculated SPL = [Log(Usable Power) x 10] + 103
Calculated SPL = [Log(400) x10 + 103 = ~129dB
This is pretty darn load.
If you add a matching cab, it will be connected in parallel.
-The impedance is cut in half (8/2 =4 ohms)
-In this case the amp can make double the power (400 x 2 = 800W)
-The power handling doubles (400 x 2 = 800W)...so useable power is 800W.
-Double the cabs and get +3dB. So, the combined sensitivity of both cabs goes is approximately +3dB higher than a single cab, assuming they are stacked together (103 + 3 = 106dB 1W/1m).
Calculated SPL with two matching cabs.
[Log(800) x 10] + 106 = ~135dB
This shows if you add a matching cab and the power doubles, you get +6dB. +3dB is due to the extra sensitivity and +3dB is due to doubling the power
If you add a matching cab and the power stays the same you only get +3dB. The increase comes from the increased sensitivity.
Remember some amps make more power when the impedance goes down, but they do not double the power (check the specs).
If the usable power only increases to 600W (150%)
[Log(600) x 10] + 106 = 133.8dB