RLC Circuit Calculator

Your details

Series: R, L and C share one current path. Parallel: all three components share the same voltage across them.
Resistive component of the circuit.
Omega
Inductive component of the circuit.
mH
Capacitive component of the circuit.
uF
Unit for the operating frequency input.
Optional: enter to compute impedance and phase angle at this specific frequency. Leave at 0 to use only the resonant frequency.
Hz
Resonant frequency (f0)Underdamped
50.3292Hz

Frequency at which inductive and capacitive reactances cancel

Resonant frequency (scaled)50.3292 Hz
Quality factor (Q)3.162
Damping ratio (zeta)0.1581
Damping classUnderdamped
Bandwidth (BW)15.9155Hz
Inductive reactance (XL)31.623Omega
Capacitive reactance (XC)31.623Omega
Impedance (Z)10Omega
Phase angle-0deg
Phase characterPurely resistive
3.162
Very low Q<1Low Q1-10Good Q10-50High Q50+

Series RLC: resonance at 50.3292 Hz, Q = 3.16

  • Resonant frequency is 50.3292 Hz: at this frequency the inductive and capacitive reactances cancel, giving minimum impedance.
  • Q = 3.162 is moderate. The bandwidth is 15.92 Hz, giving reasonable frequency selectivity.
  • The circuit is underdamped (zeta = 0.1581): the step response will oscillate before settling.

Next stepTo narrow the bandwidth, reduce R in a series circuit or increase R in a parallel circuit. To shift resonance higher, reduce either L or C.

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