Shared flowchart

Engineering · L4 · Bode plot construction: first-order low-pass filter

Sign in to clone

Bode magnitude and phase plots for a first-order low-pass filter with asymptotic approximation.

by @openstemUpdated Engineering
Transfer FunctionH(s) = ω_c / (s + ω_c)H(jω) = 1 / (1 + jω/ω_c)Magnitude Plot|H(jω)| in dB = 20 log|H|Phase Plot∠H(jω) = −arctan(ω/ω_c)ω << ω_c:|H| ≈ 1 (0 dB) — flatω = ω_c (corner freq):|H| = 1/√2 (−3 dB)ω >> ω_c:−20 dB/decade roll-offω << ω_c: ∠H ≈ 0°ω = ω_c: ∠H = −45°ω >> ω_c: ∠H → −90°Phase margin = 180° + ∠H(jω_gc)Must be > 0° for stability

We use privacy-friendly product analytics (no session recording, PII masked) to improve OpenStem. Load analytics? Privacy Policy