Boneyard Tools

Capacitive Reactance Calculator

Enter a frequency and a capacitance to find the capacitive reactance Xc in ohms, using Xc = 1 / (2 pi f C). Reactance is the opposition a capacitor presents to alternating current, and it falls as either the frequency or the capacitance rises. Unit menus let you type kilohertz or microfarads directly, and the result auto-scales to ohms, kilo-ohms or mega-ohms.

How to use the capacitive reactance calculator

  1. Type the signal frequency in the Frequency field.
  2. Pick its unit from the menu: Hz, kHz or MHz.
  3. Type the capacitance in the Capacitance field.
  4. Pick its unit: F, uF, nF or pF.
  5. Read the capacitive reactance Xc below, then use the copy button.

Examples

1 microfarad at 1 kHz

f = 1 kHz, C = 1 uF
Xc = 159.1549 ohm

10 microfarads at mains 60 Hz

f = 60 Hz, C = 10 uF
Xc = 265.2582 ohm

100 picofarads at 1 MHz

f = 1 MHz, C = 100 pF
Xc = 1.5915 k ohm

Frequently asked questions

What is capacitive reactance?

Capacitive reactance Xc is the opposition a capacitor offers to alternating current, measured in ohms. It is given by Xc = 1 / (2 pi f C), where f is frequency and C is capacitance.

Why does reactance fall as frequency rises?

Frequency sits in the denominator, so doubling the frequency halves the reactance. At high frequencies a capacitor behaves more like a short circuit, and at very low frequencies more like an open circuit.

What is the reactance of a 1 microfarad capacitor at 1 kHz?

About 159.15 ohms, from Xc = 1 / (2 pi * 1000 * 1e-6). This tool shows the full value as 159.1549 ohm.

What units can I enter?

Frequency accepts Hz, kHz or MHz, and capacitance accepts F, uF, nF or pF. The tool converts your entry to base hertz and farads before applying the formula.

What units is the answer shown in?

The result is in ohms and auto-scales for readability: values at or above 1,000 ohms show as k ohm, and at or above a million as M ohm. Figures are rounded to four decimal places.

Is reactance the same as resistance?

No. Both are measured in ohms, but reactance applies to alternating current and shifts the phase between voltage and current by 90 degrees, while resistance dissipates power and does not shift phase.

How do I find total impedance?

For an ideal capacitor the impedance magnitude equals the reactance. With a series resistance R, combine them as the square root of R squared plus Xc squared.

Does capacitance size change the reactance the same way?

Yes. Capacitance also sits in the denominator, so a larger capacitor gives a lower reactance at a given frequency. Doubling either f or C halves Xc.

Does the calculation happen on a server?

No. The formula runs entirely in your browser, so nothing you type is uploaded. It works offline once the page has loaded.

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