RC low-pass: f_3dB = 1/(2π·R·C); |H|² at ω_c = 1/2

Layer 1 — Physicsin the engineering-physics subtree

The first-order RC low-pass filter has transfer function H(ω) = 1/(1 + j·ω·R·C), hence magnitude-squared |H(ω)|² = 1/(1 + (ω·R·C)²). The -3 dB cutoff frequency f_3dB = 1/(2π·R·C) is defined by |H(ω_c)|² = 1/2 — the half-power point. …

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