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Updated 2026-09-16

Parallel RLC Impedance Calculator — Admittance, Phase & Resonance

Calculate ideal parallel RLC admittance, impedance magnitude, impedance phase and resonant frequency from R, L, C and frequency.

Inputs

Results

|Z| 103.2623 Ω
Admittance 0.009684079 S
Phase(Z) 84.07294°
Resonance 1,591.549 Hz
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Your calculation, step by step

  1. 1.L = 0.01 H; C = 0.000001 F; ω = 2πf = 6,283.185 rad/s.
  2. 2.XL = ωL = 62.83185 Ω; XC = 1/(ωC) = 159.1549 Ω; Resonance: f0 = 1/(2π√LC) = 1,591.549 Hz.

Formula, example and limits

Y=1/R+j(ωC−1/(ωL)); |Z|=1/|Y|.

At ideal parallel resonance the reactive admittances cancel and impedance is governed by R.

  • R, L and C are ideal parallel branches.
  • Parasitic losses are not modeled.

Frequently asked questions

Why use admittance?

Parallel branch admittances add directly, making the calculation deterministic and less error-prone.

Is resonance infinite impedance?

Only an ideal lossless LC branch can imply that limit; a finite parallel R keeps impedance finite.

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