How To Calculate Cutoff Low Frequency

Calculating the cutoff low frequency is crucial in signal processing and control systems. It helps determine the lowest frequency at which a system can effectively operate.

1. Enter the desired frequency in Hertz (Hz).
2. Enter the damping ratio (usually between 0 and 1).
3. Click ‘Calculate’.

The formula for cutoff low frequency is:

f_c = (1 / (2π * √(1 – ζ²))) * ω_n

where:

• f_c is the cutoff low frequency,
• ζ is the damping ratio,
• ω_n is the natural frequency.

Comparison of Cutoff Frequencies

Frequency (Hz)	Damping Ratio	Cutoff Low Frequency (Hz)
10	0.5	3.18
20	0.7	6.37

• Always ensure the damping ratio is within the acceptable range (0 to 1).
• Consider the system’s stability when interpreting the results.

What is the difference between cutoff low frequency and natural frequency?

The natural frequency is the frequency at which a system would oscillate if there were no damping. The cutoff low frequency is the lowest frequency at which the system can effectively operate, considering the damping.

For more information, see the following authoritative sources:

• Engineering ToolBox
• Control Systems