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Electrical

Series RLC Quality Factor Calculator

Find the resonant quality factor and bandwidth of a series RLC circuit.

Ideal component relationshipsUnits and assumptions explained below
Circuit workbench
Circuit workbench

Keep RMS, peak and DC values distinct.

See the method

Enter circuit values

Runs on your device

Your circuit result

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter series resistance, inductance, capacitance.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

Q = sqrt(L/C)/R; resonance f0 = 1/(2πsqrt(LC)); bandwidth = R/(2πL).

A WORKED EXAMPLE

Using series resistance = 10 Ω, inductance = 10 mH, capacitance = 100 nF, the result is 31.6227766. Change these example inputs to match your task; use the method above to check each step.

Understanding your result

Series topology with total series resistance. A parallel RLC circuit uses a different Q expression.

What to keep in mind

Series topology with total series resistance. A parallel RLC circuit uses a different Q expression. Ideal-component calculation for study and estimation. It does not select safe wiring, protective devices or component ratings for an installation.

Common questions

How do I use this series rlc quality factor calculator?

Find the resonant quality factor and bandwidth of a series RLC circuit. Enter series resistance in Ω, inductance in mH, capacitance in nF. The starting example is editable; use values for the same system or project.

Which assumptions affect this result?

Series topology with total series resistance. A parallel RLC circuit uses a different Q expression.

Methodology maintained by ClarityKit. How these tools are built and checked.