RLC Circuit Calculator

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

Resonant frequency (Hz) 1,591.55

Quality factor 2

Bandwidth (Hz) 795.77

Formula: f₀ = 1/(2π√(LC)); Q = (1/R)√(L/C)

Step-by-step with your numbers:

1. Values used:

2. Resistance = 50 Ω

3. Inductance = 10 mH

4. Capacitance = 1 µF

6. Resonant frequency = 1,591.55Hz

7. Quality factor = 2

8. Bandwidth = 795.77Hz

Did we solve your problem today?

A series RLC circuit resonates at one frequency; its sharpness is set by the Q factor.

The math behind it

f₀ = 1/(2π√(LC)). Q = (1/R)√(L/C). Bandwidth = f₀/Q — higher Q gives a narrower, sharper response.

R 50, L 10 mH, C 1 µF → f₀ ≈ 1592 Hz, Q ≈ 2, bandwidth ≈ 796 Hz.

What does a high Q mean?

A more selective circuit that rings longer and filters more sharply.