Question

How do you calculate the cutoff frequency of a high-pass filter?

Answer 1

The cutoff frequency of a high-pass filter is the frequency at which the filter begins to attenuate or "cut off" lower frequencies and allow higher frequencies to pass through with minimal attenuation. In other words, it's the frequency above which the output signal is significantly reduced compared to the lower frequencies.

The cutoff frequency of a high-pass filter can be calculated using the following formula:

Cutoff Frequency (fc) = 1 / (2 * π * RC)

Where:

fc is the cutoff frequency in Hertz (Hz).
π (pi) is a mathematical constant approximately equal to 3.14159.
R is the resistance value in ohms (Ω) in the high-pass filter circuit.
C is the capacitance value in farads (F) in the high-pass filter circuit.

To calculate the cutoff frequency, you need to know the values of the resistor (R) and the capacitor (C) in the high-pass filter. Once you have those values, plug them into the formula above, and you'll get the cutoff frequency in Hertz.

It's worth noting that the cutoff frequency is a crucial parameter as it determines the frequency range that the high-pass filter will allow to pass through. Frequencies below the cutoff frequency will be attenuated, while frequencies above it will pass with minimal loss.