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Filter & Resonance

⚡ Electrical-Electronics · RC/RL cutoff frequency and LC resonant frequency calculation

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fc=12πRCf0=12πLCf_c = \frac{1}{2\pi RC} \qquad f_0 = \frac{1}{2\pi\sqrt{LC}}

Frequency-selective circuits (filters and resonant circuits) are fundamental to signal processing and communication systems. This tool covers three basic configurations:

  • RC filter: a first-order low-pass filter made of a resistor and capacitor. At the cutoff frequency (fc), the output amplitude drops to 70.7% (−3 dB) of the input amplitude.
  • RL filter: an alternative first-order filter made of a resistor and inductor — similar behavior, different components.
  • LC resonance: the circuit formed together by an inductor and capacitor makes the impedance purely resistive at a specific frequency (f₀) — this underlies many applications, from channel selection in radio receivers to oscillator design.

Application area: these three basic building blocks are also the starting point for more complex filter designs (multi-stage filters such as Butterworth or Chebyshev).

✅ Verified

This tool's calculation logic has been checked against a hand-computed numerical verification test. Test source: src/lib/calc/rlc.test.ts.

  • [5] Alexander, Charles K. and Sadiku, Matthew N. O.. Fundamentals of Electric Circuits, 7 ed.. McGraw-Hill, 2021.

Results are for educational and preliminary-sizing purposes; final engineering design decisions must reference the relevant standards and a licensed engineer's approval.