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RLC Series Circuit Impedance Calculator

Calculate the impedance of a series RLC circuit. Get reactances, phase angle, power factor, and resonant frequency.

Input

Enter resistance R, inductance L, capacitance C, and frequency f to compute the total impedance of a series RLC circuit.

Ω

Circuit resistance in ohms

H

Coil inductance in henries

F

Capacitor capacitance in farads

Hz

AC frequency in hertz

Result

Impedance magnitude Z

1,531.984802Ω

Angular frequency omega = 6,283.185307 rad/s

Capacitive (XC greater than XL)

Inductive reactance XL

62.831853 Ω

Capacitive reactance XC

1,591.549431 Ω

Phase angle theta

-86.257369 deg

Power factor

0.065275

Resonant frequency f0

5,032.92121 Hz

R = 100 ΩX = -1,528.717578 ΩZ = 1,531.984802 Ωphase -86.257369 deg

Computed with Z = sqrt(R squared plus (XL minus XC) squared), XL = omega L, XC = 1 / (omega C), and resonant frequency f0 = 1 / (2 pi sqrt(L C)).

How it works

  • The angular frequency is omega = 2 pi f.
  • Inductive reactance is XL = omega L and capacitive reactance is XC = 1 / (omega C).
  • The magnitude of the impedance is Z = sqrt(R squared plus (XL minus XC) squared).
  • The phase angle is theta = atan2(XL minus XC, R) and the power factor is R / Z.
  • The resonant frequency is f0 = 1 / (2 pi sqrt(L C)); at resonance XL equals XC and the impedance reaches its minimum.

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