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Physics

RLC circuit resonant frequency calculator

Resonant frequency, Q factor and bandwidth of a series RLC circuit.

What this calculator does

RLC circuit resonant frequency works out resonant frequency, Q factor and bandwidth of a series RLC circuit. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

Formulaf₀ = 1/(2π√(LC)); Q = (1/R)√(L/C); bandwidth = f₀/Q

The inputs explained

FieldWhat to enter
Inductance (H)A number, measured in H. Starts at 0.001.
Capacitance (F)A number, measured in F. Starts at 0.000001.
Series resistance (Ω)A number, measured in Ω. Starts at 10.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with inductance

Every other input is held at the calculator’s starting values while inductance varies. Select any row to load that scenario into the calculator.

How the answer changes with inductance
Inductance (H)Resonant frequencyAngular resonant frequencyQ factor
0∞ Hz∞ rad/s0.000
0∞ Hz∞ rad/s0.000
0∞ Hz∞ rad/s0.000
0∞ Hz∞ rad/s0.000
0∞ Hz∞ rad/s0.000
0∞ Hz∞ rad/s0.000