It is very impractical to connect resistors in parallel or series with speakers. The power in the resistor develops heat. You usually want sound pressure levels not heat.
You can never efficiently use horns and bass speakers in a bi-amp or passive crossover cabinet that are not the same impedance. More power will be dissipated in the horn vs. the woofer.
As you begin to lower the impedance of the speaker load to an amplifier, the power output increases...up to a point. This is because the current is higher for a given amplifier output voltage swing. Current x Voltage = Power. Unfortunately, the amplifier has a finite output resistance. Otherwise we could make speakers extremely low impedance and get lots of power!! The amplifier output impedance is usually very low and even the speaker cables will be a significant contributor to the output impedance. Amplifiers are rated by damping factor. This is the ratio of the load impedance to the output impedance. If an amplifier has a damping factor of 100, the amplifier output impedance with an 8 ohm speaker load is 0.08 ohms. If you connected this amplifier to a speaker with a cable having 1.02 ohms of two way resistance, you would have an effective output impedance of 1.1 ohms. If your total speaker load was 1.1 ohms, you would get half of the max power into the speaker and the other half would be dissipated in heat in the amplifier and cable. When the cable impedance plus the output impedance of the amp equals the load impedance, the power delivered to the speaker is half what is dissipated in the amp and cables.
In addition, no modern day amplifier should require a fixed load. The only desirable application of a resistor load is to over load a tube amp to get intentional distortion that would otherwise require high sound pressure levels to acquire.
A correction to the resistor calculations shown earlier are as follows:
Resistors in series
Rtotal = R1 + R2 + R3 + ………Rn
Resistors in parallel if all resistors are the same value
Rtotal = R/n where n = number of resistors
2 resistors in parallel of different values
Rtotal = (R1 * R2)/(R1 + R2)
N resistors in parallel of any value
1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ……..1/Rn
I hope this helps.
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Terry Downs
http://nightshift.net
terry@nightshift.net