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How to compute LC cutoff frequency in Python using UliEngineering

You can easily compute the LC resonant (cutoff) frequency using the UliEngineering Python library:

lc_cutoff_frequency.py
from UliEngineering.Electronics.LC import lc_cutoff_frequency
from UliEngineering.EngineerIO import *

# Compute LC cutoff frequency for 10µH and 100nF
freq = lc_cutoff_frequency("10uH", "100nF")
print(f"LC cutoff frequency (10µH, 100nF): {format_value(freq, 'Hz')}")

# Compute LC cutoff frequency for 1mH and 1µF
freq = lc_cutoff_frequency("1mH", "1uF")
print(f"LC cutoff frequency (1mH, 1µF): {format_value(freq, 'Hz')}")

Example output

lc_cutoff_frequency_output.txt
LC cutoff frequency (10µH, 100nF): 5.03 kHz
LC cutoff frequency (1mH, 1µF): 5.03 kHz

The LC resonant frequency is the natural frequency at which an LC circuit (inductor-capacitor circuit) oscillates when energy is transferred between the electric field of the capacitor and the magnetic field of the inductor. This frequency is fundamental to filter design, oscillators, and resonant circuits. At this frequency, the inductive and capacitive reactances are equal in magnitude but opposite in phase, resulting in resonance.

The cutoff frequency is computed using the formula: $f = \frac{1}{2\pi\sqrt{LC}}$, where $L$ is the inductance in henries and $C$ is the capacitance in farads. The result is in hertz.

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