How to compute RL cutoff frequency in Python using UliEngineering

You can easily compute the RL cutoff frequency using the UliEngineering Python library:

rl_cutoff_frequency.py
from UliEngineering.Electronics.RL import rl_cutoff_frequency
from UliEngineering.EngineerIO import *

# Compute RL cutoff frequency for 10Ω and 100mH
freq = rl_cutoff_frequency("10", "100mH")
print(f"RL cutoff frequency (10Ω, 100mH): {format_value(freq, 'Hz')}")

# Compute RL cutoff frequency for 1kΩ and 1mH
freq = rl_cutoff_frequency("1k", "1mH")
print(f"RL cutoff frequency (1kΩ, 1mH): {format_value(freq, 'Hz')}")

Example output

rl_cutoff_frequency_output.txt
RL cutoff frequency (10Ω, 100mH): 15.9 Hz
RL cutoff frequency (1kΩ, 1mH): 159 Hz

The RL cutoff frequency is the frequency at which an RL low-pass filter attenuates the signal by 3dB (approximately 70.7% of the input amplitude). Below this frequency, signals pass through with minimal attenuation, while above this frequency, signals are increasingly attenuated. This frequency is fundamental to filter design and determines the bandwidth of RL filter circuits.

The cutoff frequency is computed using the formula: $f_c = \frac{R}{2\pi L}$, where $R$ is the resistance in ohms and $L$ is the inductance in henries. The result is in hertz.


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