And the math is very simple especially if you know algebra:
The capacitive reactance Xr = 1/2*pi*f*C [Ohms] where pi is circular constant f is freequency(Hz) and C is capacitance (Farad)
The inductive reactance Xl = 2*pi*f*L [Ohms] where L is inductance H.
The crossover freequency can be found identically to the resonance from equation when you equalize both inductive and capacitive reactances.
After some algebra manipulation you get f = 1/2*pi*sqrt(LC) [Hz] where sqrt() is a square root function.
You should not mistake this formula from the parallel connection of capacitor and inductor which is the basic circuit of radio that oscilates at particular resonance freequency.
Normally the basic crossover consists of:
the tweeter shunt inductor and
the woofer shunt capacitor
which values are calculated to define a crossover freequency.
A value of a resistor is matched to define a total speaker DC resistance. Please note that both of reactive components should not create a resonance at audiable freequencies or low harmonics with drivers(now use the resonance formula to define an approximate valuable crossover point).
This formula is valid when you have an ideal resistor(i.e. non-reactive) along in the circuit and does not include the reactance of wires as well.
Now, after calculations the next step is tuuuning! Oscilloscope is used to set up the minimal harmonic interfearance and the maximum close-up to the theoretical calculations(yeah there might be adjustable elements used that than would be replaced with fixed ones).
Ever though of electronic crossovers:-)?
The capacitive reactance Xr = 1/2*pi*f*C [Ohms] where pi is circular constant f is freequency(Hz) and C is capacitance (Farad)
The inductive reactance Xl = 2*pi*f*L [Ohms] where L is inductance H.
The crossover freequency can be found identically to the resonance from equation when you equalize both inductive and capacitive reactances.
After some algebra manipulation you get f = 1/2*pi*sqrt(LC) [Hz] where sqrt() is a square root function.
You should not mistake this formula from the parallel connection of capacitor and inductor which is the basic circuit of radio that oscilates at particular resonance freequency.
Normally the basic crossover consists of:
the tweeter shunt inductor and
the woofer shunt capacitor
which values are calculated to define a crossover freequency.
A value of a resistor is matched to define a total speaker DC resistance. Please note that both of reactive components should not create a resonance at audiable freequencies or low harmonics with drivers(now use the resonance formula to define an approximate valuable crossover point).
This formula is valid when you have an ideal resistor(i.e. non-reactive) along in the circuit and does not include the reactance of wires as well.
Now, after calculations the next step is tuuuning! Oscilloscope is used to set up the minimal harmonic interfearance and the maximum close-up to the theoretical calculations(yeah there might be adjustable elements used that than would be replaced with fixed ones).
Ever though of electronic crossovers:-)?