@allenf1963 You’re asking questions about a topic on which I’m a bit fuzzy. I studied the design of filters for ‘high pass,’ and ‘low pass,’ performed the basic calculations, and became conversant in ‘first order,’ ‘second order’ and the like; ‘notch filters,’ etc. but I don’t have much practical experience with building, or tuning them. I would have go to my textbooks to get a refresher to go into detail. I’m much more comfortable discussing the sort of filtering that takes place in the power supply, trying to convert AC to DC and eliminating ripple.
That said, I can describe the basic function and components. For a passive crossover, the high pass filter takes advantage of the properties of a capacitor to ‘pass AC.’ The amount of capacitance determines the frequency at which the the ‘highs’ pass to the tweeter. Stages of filtration can be built up and at each stage (or ‘order’) the ‘pass frequency’ becomes more and more selective. That is, the slope of the frequency response curve gets steeper and steeper. I think a first order slopes off at 6 bB per octave, and a second order filter slopes off at 12 dB per octave, but I’m not sure, it may be 3 dB and 6 dB. The inductor is used for a low pass filter, and to be honest, I’m not sure how to describe its operation, but again, first and second order filters can be made quite simply. Resistors are also employed in the design of cross-overs, if you find a ‘vintage’ speaker, there is often a knob or two offering to attenuate either the highs or lows: the potentiometer is serving to ‘trim’ the frequencies at which the filter (cross-over) is effective.
So, yes, cross-overs serve to direct frequencies to the appropriate driver within the speaker (bass frequencies to the woofer, high frequencies to the tweeter, those frequencies that are nether high nor low, to the midrange driver.
The issues with passive cross-overs are at least twofold, (1) the fact that they are passive means that some of the signal’s energy will be absorbed by the cross-over components: the capacitors will want to hold onto their voltage; the inductors will want to hold onto their current, the resistors will restrain current flow and will maintain a voltage across them with a polarity opposing the source as long as they are in the circuit (it’s what they do). An alternative is ‘active’ cross-overs, which must have their own power supply, which ‘massage’ the frequencies without using the signal’s energy, but which may also add to the sound a coloration of their own. I’m not sure what components are used in an active cross-over, but I’m assuming transistors and ICs like op-amps are involved.
If you want to pursue this topic further, you probably need to pm me, as I fear we’ve hijacked this thread. We’re not all on the thread’s stated topic.