Capacitor formula tool

Capacitive Reactance Calculator

Calculate Xc from capacitance and frequency for capacitor, filter, and AC impedance worksheet notes.

Calculate Capacitive Reactance

Solve capacitive reactance from frequency and capacitance, or estimate capacitance from a target Xc.

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Result notes

Keep the entered values, assumptions, and result together when adding this calculation to job notes or submittal records. Final installation choices should align with the applicable code edition, equipment listing, manufacturer instructions, local amendments, and AHJ requirements.

Formula and field context

Calculate Xc from capacitance and frequency for capacitor, filter, and AC impedance worksheet notes.

Formula context

Capacitor Reactance Chart

Capacitive reactance is XC = 1 / (2 pi f C). This component worksheet estimate shows that 10 uF at 60 Hz is about 265 ohms; with 120 V across the capacitor, ideal current is about 0.45 A. Use the chart before checking ESR, ripple current, ratings, and the wider system context.

Formula

XC = 1 / (2 x pi x f x C). Capacitor current estimate: I = V / XC.

Variables to keep with the result

  • XC is capacitive reactance in ohms.
  • f is frequency in hertz.
  • C is capacitance in farads.
  • I is the AC current estimate when voltage across the capacitor is known.

Formula and variables

Capacitive reactance is Xc = 1 / (2 x pi x f x C). Frequency is in hertz and capacitance is converted to farads before calculation. Reactance decreases as frequency or capacitance increases.

Where it helps

This formula supports capacitor comparison, filter notes, bench checks, and AC impedance screening. At 60 Hz, the same capacitor has a very different reactance than it does in a high-frequency signal or switching circuit.

Component limits

Real capacitor behavior can differ because of tolerance, ESR, voltage rating, dielectric type, temperature, and frequency limits. Treat Xc as one part of the component review before using the full capacitor or impedance calculators.

Common Questions

Does capacitive reactance go down as frequency rises?
Yes. Xc is inversely proportional to frequency, so a capacitor has lower reactance at higher frequency.
Is Xc the same as ESR?
No. Xc is ideal capacitive reactance. ESR is a real loss term that comes from the capacitor construction.
Can this size a power-factor correction capacitor?
No. Use the power-factor correction calculator when kVAR, voltage, phase, and utility or equipment context matter.