Enter the resistance and capacitance into the calculator to determine the crossover frequency. This calculator can also evaluate any of the variables given the others are known.
Crossover Frequency Formula
The following formula is used to calculate the crossover frequency.
f_c = 1 / (2 * π * R * C)
Variables:
- f_c is the crossover frequency (Hz)
- R is the resistance (Ohms)
- C is the capacitance (Farads)
- π is a constant, approximately equal to 3.14159
To calculate the crossover frequency, multiply the resistance by the capacitance, then multiply the result by 2 and π. Take the reciprocal of the result to get the crossover frequency.
What is a Crossover Frequency?
A crossover frequency, in audio systems, refers to a specific frequency point in the audio spectrum where the responsibility of producing sounds shifts from one speaker component to another. It is a particular frequency that separates the range of frequencies sent to different speakers or drivers in a multi-driver speaker system. For instance, in a two-way speaker system, lower frequencies are directed to the woofer and higher frequencies to the tweeter, with the crossover frequency being the point of transition.
How to Calculate Crossover Frequency?
The following steps outline how to calculate the Crossover Frequency.
- First, determine the resistance (R) in Ohms.
- Next, determine the capacitance (C) in Farads.
- Next, gather the formula from above = f_c = 1 / (2 * π * R * C).
- Finally, calculate the Crossover Frequency.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Resistance (R) = 100 Ohms
Capacitance (C) = 0.001 Farads
