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Reactance Calculator (XL, XC)

Quick answer

This calculator computes inductive XL = 2 pi f L and capacitive XC = 1/(2 pi f C) in ohms.

  • Enter frequency with L or C to see reactance, or find the C for a target XC.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How the Reactance Calculator Works

XL = 2πfL, XC = 1/(2πfC)

Calculates the opposition to AC current flow from inductors and capacitors. Inductive reactance increases with frequency, while capacitive reactance decreases with frequency. Worked example: a 10 uF capacitor at 50 Hz has XC = 1/(2 pi x 50 x 10e-6) = 318 ohm; at 100 uF it falls to 31.8 ohm - bigger capacitors pass AC more easily. The crossover point matters in audio: a 4 ohm speaker with a 10 uF capacitor crosses at f = 1/(2 pi x 4 x 10e-6) = 3.98 kHz, exactly the first-order high-pass design equation in daily use.

  1. 1

    Step 1

    Select reactance type (inductive or capacitive)

  2. 2

    Step 2

    Enter the component value (L or C)

  3. 3

    Step 3

    Enter the AC frequency

  4. 4

    Step 4

    View the calculated reactance in ohms

Use Cases

Designing AC filter circuits

Calculating impedance in AC networks

Tuning radio frequency circuits

Power factor correction analysis

Tips

  • 1

    Inductive reactance: XL = 2πfL (increases with frequency)

  • 2

    Capacitive reactance: XC = 1/(2πfC) (decreases with frequency)

  • 3

    At resonance, XL = XC

  • 4

    Reactance is measured in ohms like resistance

Common Mistakes

  • Confusing reactance with impedance (Z includes R)

  • Forgetting the negative sign for capacitive reactance in calculations

  • Using DC component values at high frequencies

  • Not converting units (mH to H, µF to F)

FAQs

What is the difference between reactance and impedance?

Reactance (X) is opposition from inductors or capacitors only. Impedance (Z) combines resistance and reactance: Z = √(R² + X²).

Why does inductive reactance increase with frequency?

Higher frequencies mean faster current changes. Inductors oppose current changes, so faster changes create more opposition (higher reactance).

Why is capacitive reactance negative in some formulas?

The negative sign indicates the phase relationship - capacitive current leads voltage by 90°, while inductive current lags. This matters when calculating total impedance.

What is capacitive reactance?

XC = 1/(2 x pi x f x C), the resistance a capacitor shows to AC. It falls as frequency or capacitance rises: 1 uF at 1 kHz is 159 ohm, at 10 kHz only 15.9 ohm.

How are XL and XC different?

XL = 2 pi f L rises with frequency while XC = 1/(2 pi f C) falls. In series they subtract: at resonance XL = XC and the net reactance is zero, leaving only resistance.

What capacitor do I need for a given reactance?

C = 1/(2 pi f x XC). To get 10 ohm at 100 Hz: C = 1/(2 pi x 100 x 10) = 159 uF. This is exactly how capacitor-drop power supplies and speaker crossovers are designed.