RLC Resonance Back EN | ZH
Circuit Simulator

RLC Series & Parallel Resonance Calculator

Set R, L, C to visualize impedance and phase vs frequency in real time. Resonant frequency, Q factor and bandwidth calculated automatically.

Parameters
Resistance R 100 Ω
Range: 1 – 10000 Ω (log scale)
Inductance L 10.0 mH
Range: 0.001 – 1000 mH (log scale)
Capacitance C 10.0 μF
Range: 0.001 – 1000 μF (log scale)
Source Voltage V 10.0 V
Resonant Freq. f₀
Bandwidth BW
Q Factor
Resonance Z₀

Theory

Resonant frequency:

$$f_0 = \frac{1}{2\pi\sqrt{LC}}$$

Q factor (series): $Q = \dfrac{1}{R}\sqrt{\dfrac{L}{C}}$    Bandwidth: $BW = \dfrac{f_0}{Q}$

Series impedance: $Z(\omega) = \sqrt{R^2 + \left(\omega L - \dfrac{1}{\omega C}\right)^2}$

Phase angle: $\phi = \arctan\!\left(\dfrac{\omega L - 1/(\omega C)}{R}\right)$

Applications: EMI filter design / antenna matching networks / switching power supply snubber circuits / bandpass filter center frequency design. Higher Q gives sharper selectivity; lower Q gives wider bandwidth.