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Original Message

RE: Please explain bi-amp crossover to me

Posted by neolith on February 23, 2017 at 13:51:06:

I tried to follow your argument about current but Kirchoff keeps getting in the way. Assume the same complex signal is fed to both amps and the amps generate an augmented signal with current i and voltage v. The current returning to the amp will be -i (the sum of the currents at a node is zero) . This is true for both amps - the current flowing through the speakers will be the same (assuming the amps are identical).In the case of the low pass the voltage Vamp= Vind + Vwoof and for the high pass Vamp=Vcap + Vtweet. So while the voltage drop across the speakers is different the total voltage drop is the same for both circuits. And as you said, there is no power gain beyond the sum of the two amps.
With home electrical circuits, the advantage from isolated lines comes from 1) less interference from other elements in the home 2) less resistance in the circuit due to heating of the wires and less Johnson noise. However for the most part (ignoring the wire resistance issue), the current and voltage delivered is the same.