PhysSandbox

RC Filter (LP / HP)

This interactive simulator explores RC Filter (LP / HP) in Electricity & Magnetism. Bode gain vs frequency, f_c at −3 dB; live sine V_in and V_out. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.

Who it's for: Best once you already know the basic definitions and want to build intuition. Typical context: Electricity & Magnetism.

Key terms

  • filter
  • rc filter
  • electricity
  • magnetism

Live graphs

How it works

A first-order **RC** stage acts as a **low-pass** (output across **C**) or **high-pass** (output across **R**). The magnitude rolls off at **20 dB/decade** beyond the corner **f_c = 1/(2πRC)**. At **f_c**, gain is **1/√2 ≈ −3.01 dB** — the usual **cutoff** definition.

Key equations

LP: H = 1/(1 + jωRC) · HP: H = jωRC/(1 + jωRC)
|H| = 1/√(1+(ωRC)²) (LP) · |H| = ωRC/√(1+(ωRC)²) (HP) · f_c = 1/(2πRC)

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