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Calcimator

RLC Resonance Calculator

Calculate the resonant frequency, Q factor, and bandwidth of a series RLC circuit. Visualize the impedance curve.

Inputs

Ω
H
F

Results

Resonant Frequency

5,032.92 Hz

Q Factor

31.62

Bandwidth

159.16 Hz

Impedance at Resonance10 Ω
Lower -3dB Frequency4,953.97 Hz
Upper -3dB Frequency5,113.13 Hz
How to Use This Calculator
  1. Enter Resistance (R), Inductance (L), and Capacitance (C).
  2. Review Resonant Frequency (Hz), Q Factor, and Bandwidth (Hz).
  3. Use Impedance at Resonance (Ω) and Lower -3dB Frequency (Hz) to inform your decision.
  4. Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Inductance (L)

Inductance (L)Resonant FrequencyQ FactorBandwidth
10159.16 Hz1,0000.16 Hz
3585.07 Hz1,870.830.05 Hz
6562.43 Hz2,549.510.02 Hz
9053.05 Hz3,0000.02 Hz

What each input means

Resistance (R)
Series resistance in ohms. Lower R gives higher Q factor.
Inductance (L)
Inductance in henrys. 10 mH = 0.01 H.
Capacitance (C)
Capacitance in farads. 100 nF = 0.0000001 F.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    Resistance (R) = 10, Inductance (L) = 0.01, Capacitance (C) = 1e-7 = 3 input(s) provided
  2. Calculate Resonant Frequency
    Resonant Frequency
    5032.921 = 5032.921
  3. Calculate Q Factor
    Q Factor
    31.623 = 31.623
  4. Calculate Bandwidth
    Bandwidth
    159.155 = 159.155
  5. Calculate Impedance at Resonance
    Impedance at Resonance
    10 = 10
  6. Calculate Lower -3dB Frequency
    Lower -3dB Frequency
    4953.973 = 4953.973

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