RLC Resonance Calculator

Compute the resonant frequency, Q factor, bandwidth, and characteristic impedance of a series RLC circuit from R, L, and C, with a resonance curve.

Input

Enter resistance R, inductance L, and capacitance C to compute the resonant frequency, Q factor, bandwidth, and characteristic impedance of a series RLC circuit.

Resistance R

Series resistance of the circuit (ohms)

Inductance L

Inductance of the coil (henries)

Capacitance C

Capacitance of the capacitor (farads)

Result

Resonant frequency f0

15,915.494309Hz

Angular resonant frequency ω0 = 100,000 rad/s

Q factor

Bandwidth BW

1,591.549431 Hz

Characteristic impedance Z0

100 Ω

Resonant frequency f0 = 1 / (2π√(LC)), Q factor = (1/R)√(L/C), bandwidth BW = f0 / Q, characteristic impedance Z0 = √(L/C). All computed in SI units.

How it works

The resonant frequency is f0 = 1 / (2π√(LC)). It depends only on the product of L and C, not on the resistance R.
The series Q factor is Q = (1/R)√(L/C). A smaller R gives a higher Q and a sharper resonance.
The bandwidth is BW = f0 / Q = R / (2πL), the frequency width between the half-power points where the amplitude falls to 1/√2.
The characteristic impedance Z0 = √(L/C) indicates the magnitude of the reactance at resonance.
Enter values in SI units: resistance in ohms, inductance in henries, and capacitance in farads.

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