LC Parallel Impedance Calculator
Compute the AC impedance of a parallel LC circuit from inductance, capacitance, and frequency. The tool also returns the inductive reactance XL, capacitive reactance XC, and the resonant frequency.
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Input
Calculate the combined impedance of a circuit with an inductor (L) and a capacitor (C) connected in parallel at a given frequency.
Enter the inductance of the coil in henries.
Enter the capacitance of the capacitor in farads.
Enter the signal frequency in hertz.
Result
Combined impedance |Z|
103.817267ฮฉ
The circuit behaves as inductive, below the resonant frequency.
Inductive reactance XL
62.831853 ฮฉ
Capacitive reactance XC
159.154943 ฮฉ
Resonant frequency f0
15,915.494309 Hz
Reference value assuming ideal components. |Z| = XL ร XC / |XL โ XC|, XL = 2ฯfL, XC = 1 / (2ฯfC).
How it works
- For an ideal parallel LC circuit, the impedance magnitude is given by |Z| = XL ร XC / |XL โ XC|, where the inductive reactance is XL = 2ฯfL and the capacitive reactance is XC = 1 / (2ฯfC).
- The frequency at which XL equals XC is the resonant frequency, calculated as f0 = 1 / (2ฯโ(LC)). At this frequency the denominator |XL โ XC| becomes zero, so the impedance theoretically diverges toward infinity.
- Resonance in a parallel LC circuit is also called anti-resonance. Unlike series resonance, the impedance reaches its maximum (infinite in the ideal case) rather than its minimum. In real circuits the resistance of the inductor keeps the value finite.
- Below the resonant frequency the circuit behaves as inductive, and above it as capacitive. This tool assumes lossless ideal components and gives a reference value that may differ from real hardware.
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