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Capacitor Reactance & Angular Frequency

Relate positive capacitance and frequency to capacitive-reactance magnitude in an ideal AC model.

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Enter the known values in the units shown. Results update as you type.
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At angular frequency 2 rad/s, a capacitance of 1 F has reactance magnitude 0.5 Ω. Its ordinary frequency is 1/π Hz.

Xc = 1/(ωC); ω = 2πf

Enter these known values and leave the other values blank.

This is an ideal component model. Losses, tolerances, temperature dependence, parasitics and component ratings require separate information.
The capacitance input starts in picofarads. Select farads or another prefix when appropriate; one farad is one trillion picofarads.
All values must be positive. The zero-frequency DC limit has unbounded ideal reactance and is outside this finite-valued model.
The result is a magnitude. Ideal capacitor impedance is −jXc; a positive magnitude does not describe a resistive loss or an impedance phase of zero.

With capacitance fixed, capacitive-reactance magnitude halves.

No. Angular frequency in rad/s is 2π times ordinary frequency in hertz.

Bookify uses the exact relationship one revolution = 2π radians instead of the captured rounded angular-speed factor.