RLC Circuit Simulator
Simulate resonance, damping, Q factor, and bandwidth
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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