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RLC Parallel Circuit Impedance Calculator

Calculate the AC impedance, susceptance, phase angle, and resonant frequency of a parallel RLC circuit with a resistor, inductor, and capacitor.

Input

Enter resistance R, inductance L, capacitance C, and frequency f to compute the combined impedance, susceptance, and resonant frequency of a parallel RLC circuit.

ohm

Value of the parallel resistor in ohms

H

Value of the parallel inductor in henries

F

Value of the parallel capacitor in farads

Hz

Frequency of the AC signal in hertz

Result

Impedance magnitude |Z|

65.274799ohm

Angular frequency omega = 6,283.185307 rad/s

Capacitive susceptance Bc

0.000628 S

Inductive susceptance Bl

0.015915 S

Net susceptance Bc minus Bl

-0.015287 S

Phase angle theta

86.257369 deg

Resonant frequency fr

5,032.92121 Hz

Admittance |Y|

0.01532 S

G = 0.001 SB = -0.015287 SY = 0.01532 Stheta = 86.257369 deg

The admittance Y = 1/R + j(omega C minus 1/(omega L)) is combined, and the impedance follows from Z = 1/Y. At resonance Bc equals Bl, so |Z| is at its maximum.

How it works

  • For a parallel circuit use admittance Y=G+j(Bc minus Bl), combining conductance G=1/R, capacitive susceptance Bc=omega C, and inductive susceptance Bl=1/(omega L).
  • Impedance is the reciprocal of admittance, Z=1/Y, with magnitude equal to 1 divided by the square root of (G squared plus (Bc minus Bl) squared).
  • The angular frequency omega equals 2 pi f, where f is the frequency in hertz.
  • The resonant frequency is fr=1/(2 pi times the square root of L C). At resonance Bc equals Bl, so the impedance equals R and reaches its maximum.
  • The phase angle is theta=atan2 of (minus (Bc minus Bl)) and G. When the capacitive part dominates, current leads voltage.
  • Enter R in ohms, L in henries, C in farads, and f in hertz, all in SI units.

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