resistors power rating in a crossover - how do you determine the power rating?

as above.

I was looking at crossover and notice the wirewounds 15W that's being used.

I'm wondering if
  1. the current going through the resistor is constant (thus the resistor temp is constant)
  2. OR perhaps the resistor only warms up in certain situations (playing loud music or maybe the resistor only warms up if certain frequencies are played)
Thanks!
 
Speakers are essentially responsive to voltage. Resistors are not at all dependent on frequency for audio.

To size resistor power, calculate (or measure) the largest RMS AC voltage (V) it will ever be exposed to. Then use this to get the power:
Power(watts)= V²/R

Finally, to increase reliability and prevent thermal Ohm value drift, double or triple that wattage number. That is the wattage value you should shop for. If you end up needing to use a wirewound resistor, make sure it is the non-inductive type.
 
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