Series RLC resonance calculator

Find series RLC resonant frequency, Q, bandwidth, impedance and current.

Schematic

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Results

Resonant frequency5.03 kHz

Current response

Inspect frequency

Quality factor	3.16
Bandwidth	1.59 kHz
Impedance magnitude	1.53 kΩ
Source current	652.75 µA

Advanced results

Lower −3 dB edge	4.3 kHz
Upper −3 dB edge	5.89 kHz
Impedance phase	-86.26°
Resistance of impedance	100 Ω
Reactance of impedance	-1.53 kΩ

How series rlc resonance works

At series resonance the inductor and capacitor reactances cancel. The input impedance reaches its minimum, equal to R, and current reaches its maximum. The half-power frequencies are where the current drops to 1/√2 of that peak.

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

R1 is the total series loss resistance. Ideal L and C; AC current uses peak amplitude. Q and bandwidth describe current response.

Change the form inputs or click a component value on the schematic. Choose Try in CircuitSim to simulate the configured circuit.

Do the math

Selected input values
R1	100 Ω
L1	10 mH
C1	100 nF
V1	1 V
Frequency	1 kHz

Resonance: $f_0=\frac{1}{2\pi\sqrt{LC}}$
$\frac{1}{2\pi\sqrt{10\,\mathrm{mH}\times 100\,\mathrm{nF}}}$
≈ 5.03 kHz
Quality factor: $Q=\frac{2\pi f_0 L}{R}$
$\frac{2\pi\times 5.03\,\mathrm{kHz}\times 10\,\mathrm{mH}}{100\,\mathrm{\Omega}}$
≈ 3.16
Bandwidth: $BW=\frac{f_0}{Q}$
$\frac{5.03\,\mathrm{kHz}}{3.16}$
≈ 1.59 kHz

Series RLC resonance calculator

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Schematic

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How series rlc resonance works

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