Parallel RLC resonance calculator

Find parallel RLC resonant frequency, Q, bandwidth, input impedance and current.

Schematic

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Results

Resonant frequency5.03 kHz

Impedance response

Inspect frequency

Quality factor	3.16
Bandwidth	1.59 kHz
Impedance magnitude	65.27 Ω
Source current	1 mA
Voltage amplitude	65.27 mV

Advanced results

Lower −3 dB edge	4.3 kHz
Upper −3 dB edge	5.89 kHz
Impedance phase	86.26°
Resistance of impedance	4.26 Ω
Reactance of impedance	65.14 Ω

How parallel rlc resonance works

At parallel resonance the inductor and capacitor branch currents cancel at the source. Input impedance reaches its maximum, equal to the parallel resistance, and voltage reaches its maximum for the fixed source current. The chart shows impedance; its −3 dB points define the bandwidth.

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

R1 represents parallel loss, not inductor winding resistance. Ideal L and C; current-driven circuit and peak AC amplitudes.

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	1 kΩ
L1	10 mH
C1	100 nF
I1	1 mA
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: $Q=\frac{R}{2\pi f_0 L}$
$\frac{1\,\mathrm{k\Omega}}{2\pi\times 5.03\,\mathrm{kHz}\times 10\,\mathrm{mH}}$
≈ 3.16
Bandwidth: $BW=\frac{f_0}{Q}$
$\frac{5.03\,\mathrm{kHz}}{3.16}$
≈ 1.59 kHz

Parallel RLC resonance calculator

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Schematic

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How parallel rlc resonance works

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