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RC Filter Calculator

Calculate the cutoff frequency of an RC low-pass, RC high-pass, or LC filter, or solve for R, L, or C. SI units, time constant, and rad/s. No signup.

Filter type

A resistor feeding a capacitor to ground. Passes signals below the cutoff and rolls off higher frequencies at 6 dB per octave. The everyday anti-aliasing, debounce, and smoothing filter.

Try an example:

Solve for

Enter the other two values and the highlighted quantity is calculated. The greyed-out field is the one being solved.

Result

Cutoff frequency

The quantity you chose to solve for.

159.2 Hz

Cutoff frequency (fc)

The -3 dB corner where output power is halved.

159.2 Hz

Angular cutoff (ωc)

ωc = 2π × fc.

1000 rad/s

Time constant (τ)

τ = R × C. The capacitor charges to about 63% in one τ.

1 ms

Resistance (R)

10 kΩ

Capacitance (C)

100 nF

How the math works

RC filter cutoff: fc = 1 / (2π × R × C). The same corner frequency applies to both the low-pass and the high-pass; only which side of the corner is passed differs. Rearranged: R = 1 / (2π × fc × C) and C = 1 / (2π × fc × R).

Time constant: τ = R × C, in seconds. The cutoff and the time constant are linked by fc = 1 / (2π × τ). In one time constant a capacitor charges to roughly 63.2% of the final voltage.

LC resonant corner: fc = 1 / (2π × √(L × C)). Rearranged: L = 1 / ((2π × fc)² × C) and C = 1 / ((2π × fc)² × L). This is the ideal, undamped resonant frequency; real circuits have series resistance that broadens the response.

A first-order RC filter rolls off at 6 dB per octave (20 dB per decade). At the cutoff frequency the output is 3 dB down (about 70.7% of the input amplitude) and the phase shift is 45 degrees.

What the cutoff frequency means

FilterPassesBlocksTypical use
RC low-passBelow fcAbove fcSmoothing, anti-aliasing, switch debounce, noise removal
RC high-passAbove fcBelow fc (and DC)AC coupling, DC blocking, removing offset and rumble
LC resonantNear fc (tank) or one side (filter)Frequencies away from resonanceRF tuning, oscillators, ripple filters, speaker crossovers

The cutoff (corner) frequency is the -3 dB point. For a single-pole RC filter the attenuation increases by 6 dB for every octave (doubling) of frequency past the corner. Standard capacitor and resistor values come from the IEC 60063 E-series, so the nearest stock part may shift the real cutoff slightly from the calculated value.

How to use

  1. Choose the filter type: RC low-pass, RC high-pass, or LC resonant. The description and the available inputs update to match.
  2. Pick what to solve for: the cutoff frequency, the resistor or inductor, or the capacitor. The field being solved for is greyed out.
  3. Enter the other two values, choosing the right unit from each dropdown (for example kΩ for the resistor and nF for the capacitor).
  4. Read the highlighted result plus the cutoff frequency, angular cutoff in rad/s, and, for RC filters, the time constant.
  5. Click a worked-example preset to load a realistic audio, DC-blocking, or RF circuit, then edit the values to match your own design.
  6. Use Copy summary to grab the full result as text, or Reset to return to the defaults.

About this tool

RC Filter Calculator works out the cutoff frequency of the three passive filters electronics designers reach for most, and it solves in any direction so you can also find the part value you need. Pick RC low-pass (a resistor feeding a capacitor to ground), RC high-pass (a capacitor feeding a resistor to ground), or LC (an inductor and capacitor forming a resonant corner or tank), then enter any two of the three relevant quantities and the third is calculated for you. The math is the standard textbook set: for an RC filter the cutoff is f_c = 1 / (2 pi R C), and because that single relationship ties the three values together the tool rearranges it to give R = 1 / (2 pi f_c C) when you know the frequency and the capacitor, or C = 1 / (2 pi f_c R) when you know the frequency and the resistor. The low-pass and the high-pass share the same corner frequency, so they share one formula here; the difference is only which side of the corner passes, which the reference table spells out. For an LC filter the resonant corner is f_c = 1 / (2 pi sqrt(L C)), rearranged to L = 1 / ((2 pi f_c) squared times C) or C = 1 / ((2 pi f_c) squared times L) when you are solving for a component. Every input has a unit dropdown so you type values the natural way: ohms, kilohms, megohms, or milliohms for resistance; farads down to picofarads for capacitance; henries down to nanohenries for inductance; and hertz up to gigahertz for frequency. Results are auto-scaled to a readable prefix, so a 10 kilohm resistor with a 1 nanofarad capacitor reports a cutoff of about 15.9 kHz rather than a long string of digits. Alongside the cutoff the tool always shows the angular cutoff in radians per second (omega_c = 2 pi f_c) and, for the two RC modes, the time constant tau = R C in seconds, with a note that the capacitor charges to roughly 63 percent of its final voltage in one time constant. Three worked-example presets load a realistic audio low-pass, a DC-blocking high-pass, and an RF LC tank so you can see sensible numbers immediately and then edit them. A short explainer covers the things people get wrong: a first-order RC filter rolls off at 6 dB per octave (20 dB per decade), the cutoff is the half-power point where the output is 3 dB down at about 70.7 percent of the input amplitude, and the phase shift there is 45 degrees. One honest limit: the LC result is the ideal undamped resonant frequency, real circuits carry series resistance that broadens the response, and standard E-series resistor and capacitor values mean the nearest stock part can shift the actual corner slightly from the exact figure. This calculator covers a single-pole (first-order) filter, not multi-pole Sallen-Key or Butterworth stages. Everything runs locally in your browser, so the component values you enter are never uploaded, logged, or stored.

Free to use. Works in your browser. No signup, no login.

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