RLC Circuit Simulator

Simulate resonance, damping, Q factor, and bandwidth

R (ohm)

L (mH)

C (uF)

RLC Circuit Formulas

Resonant frequency	f0 = 1 / (2pi sqrt(LC))
Series Q factor	Q = sqrt(L/C) / R
Bandwidth	BW = f0 / Q
Damping ratio	zeta = R / 2 x sqrt(C/L)

Step-by-Step Example

For L = 10 mH and C = 1 uF, convert to L = 0.01 H and C = 0.000001 F. The resonant frequency is f0 = 1 / (2pi sqrt(LC)), about 1591.55 Hz. Resistance then determines how broad or sharp the resonance is.

Practical Rules

Increasing L or C lowers the resonant frequency.
Increasing R lowers Q and makes resonance less sharp.
A high-Q circuit has a narrow bandwidth.
RLC behavior is important in filters, oscillators, and tuned circuits.

Frequently Asked Questions

What is the resonant frequency of an RLC circuit?▼

The ideal resonant frequency is f0 = 1 / (2 pi sqrt(LC)).

What is quality factor Q?▼

Q describes how sharp the resonance is. Higher Q means a narrower, sharper response.

What does damping mean in an RLC circuit?▼

Damping describes how quickly oscillations die out due to resistance.

What is bandwidth?▼

For a series RLC circuit, bandwidth is approximately f0 divided by Q.

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