[ 09 ]lab · simulations

RC / RLC filter

Low-pass, high-pass or band-pass, from R, C and (for band-pass) L. A Bode magnitude and phase plot on a log frequency axis, the step response in the time domain, and the nearest E24 value for each part.

lab · sims · RC/RLC filter

PID tuner →Rise time, overshoot, settling time. Motion planner →Trapezoidal and S-curve stepper moves. Beam deflection →Cantilever, simply-supported and fixed-fixed beams.

The filter [ live ]

Bode magnitude (dB), -3 dB line dashed

Bode phase (degrees)

step response

—cutoff frequency

—bandwidth

—nearest E24, R

—nearest E24, C

—nearest E24, L

Topology

kind

Values

R (Ω) L (H) C (F)

Assumptions and limits. Ideal, lossless components - no ESR on the capacitor, no winding resistance or self-capacitance on the inductor, no source or load impedance loading the filter. The frequency response is the same complex voltage-divider algebra for all three topologies (impedance of each part at jω, then a divider), and the step response is a fixed-step RK4 integration of the circuit's own state equations rather than a separately-typed closed form, so a transcription mistake in one cannot silently disagree with the other. Cutoff is checked against 1/(2πRC) and -3 dB at that frequency in the test suite. E-series hints are nearest-by-ratio, not "in stock anywhere."