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How to compute RLC resonant frequency in Python using UliEngineering

You can easily compute the RLC resonant frequency using the UliEngineering Python library:

rlc_resonant_frequency.py
from UliEngineering.Electronics.RLC import rlc_resonant_frequency
from UliEngineering.EngineerIO import *

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

# Compute RLC resonant frequency for 1mH and 1µF
freq = rlc_resonant_frequency("1mH", "1uF")
print(f"RLC resonant frequency (1mH, 1µF): {format_value(freq, 'Hz')}")

Example output

rlc_resonant_frequency_output.txt
RLC resonant frequency (10µH, 100nF): 5.03 kHz
RLC resonant frequency (1mH, 1µF): 5.03 kHz

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

The resonant 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. Note that the resistance does not affect the resonant frequency, only the damping.

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