Low Pass Filter LC Calculator

Calculate cutoff, inductance, capacitance, impedance, and Q. Compare LC choices with phase and ripple checks. Export clean reports for practical low pass filter design.

Calculator Inputs

Formula Used

Cutoff frequency: fc = 1 / (2π√LC)

Inductance: L = 1 / ((2πfc)²C)

Capacitance: C = 1 / ((2πfc)²L)

Characteristic impedance: Z0 = √(L / C)

Loaded Q: Q = Rload × √(C / L)

Butterworth design: L = R / (2πfcQ), C = Q / (2πfcR)

How To Use This Calculator

  1. Select the calculation mode that matches your design need.
  2. Enter known inductance, capacitance, cutoff, load, and Q values.
  3. Choose the correct units for each electrical value.
  4. Enter tolerance and ESR for a more practical estimate.
  5. Press Calculate to view the result below the header.
  6. Use CSV or PDF export to save the design report.

Example Data Table

Design goal Inductance Capacitance Approx cutoff Z0
Signal cleanup 10 µH 100 nF 159.15 kHz 10 Ω
Higher impedance filter 100 µH 10 nF 159.15 kHz 100 Ω
Low frequency smoothing 1 mH 1 µF 5.03 kHz 31.62 Ω

LC Low Pass Filter Design Guide

An LC low pass filter passes slow signals and reduces fast signals. It uses an inductor in series and a capacitor to ground. The inductor resists sudden current change. The capacitor gives high frequency energy an easier path to ground. Together they create a second order response with a sharper slope than a simple RC filter.

Why This Calculator Helps

Manual LC work becomes difficult when units vary. A designer may enter microhenries, nanofarads, kilohertz, ohms, and tolerance values. This calculator converts them to base units, then returns practical values. It can solve cutoff frequency, missing inductance, missing capacitance, or a Butterworth style pair. It also checks load Q, impedance, reactance, and expected response at a test frequency.

Understanding Cutoff

The ideal resonant cutoff is based on one formula. Frequency equals one divided by two pi times the square root of L times C. Larger inductance lowers cutoff. Larger capacitance also lowers cutoff. Smaller parts raise cutoff. Real filters may shift because of load resistance, source resistance, coil resistance, capacitor loss, and part tolerance.

Q And Damping

Q describes how strongly the filter rings near cutoff. A low Q gives a soft knee. A Q near 0.707 is often used for a flat Butterworth response. A high Q may create gain peaking before attenuation begins. This can be useful in tuned circuits, but it can be risky in power lines or audio paths.

Practical Use

Start with the target cutoff and expected load resistance. Choose Butterworth mode for a balanced starting point. Then compare nearby standard parts. Check tolerance range before final selection. For switching noise, test the noise frequency. For audio work, test the highest wanted frequency and the first unwanted band. Always confirm results with a circuit simulator and real measurements.

Exporting Results

The CSV file stores each computed line for records. The PDF button creates a simple report from the displayed output. These exports help compare versions and share design choices.

Good layout also matters. Place the result near the inputs. This keeps every design step visible. When values change, compare the new cutoff, Q, and attenuation before saving the report. Document each assumption, especially load resistance and selected component tolerance.

FAQs

What is an LC low pass filter?

It is a circuit that uses an inductor and capacitor to pass lower frequencies while reducing higher frequencies.

Which mode should I choose?

Choose cutoff mode when L and C are known. Choose inductance or capacitance mode when one part value is missing.

Why does load resistance matter?

Load resistance changes the damping and Q. It can affect peaking, ringing, and the practical filter response.

What does Q mean here?

Q describes damping near cutoff. Lower Q is smoother. Higher Q can create peaking near the transition region.

What does the Butterworth option do?

It estimates L and C for a flat second order response using cutoff frequency, load resistance, and target Q.

Can I download the results?

Yes. Use the CSV button for spreadsheet data. Use the PDF button for a simple printable report.

Why is tolerance included?

Real inductors and capacitors vary. The tolerance estimate shows how the cutoff frequency may shift in practice.

Can this replace circuit testing?

No. Use it for planning. Confirm the final design with simulation, measurement, and real component data.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.