\[X_C=\frac{1}{2\pi fC}\]
Variables
Xccapacitive reactance (ohm)
fAC frequency (Hz)
Ccapacitance (F)
Description
What is this formula?
This formula calculates the capacitive reactance of a capacitor in an alternating current circuit.
When to use it
Use it when determining how strongly a capacitor opposes AC current at a given frequency.
Example
Data:
f = 60 Hz
C = 100e-6 F
Formula:
Xc = 1/(2*pi*f*C)
Substitution:
Xc = 1/(2*pi*60*100e-6)
Result:
Xc = 26.5 ohm
Applications
AC circuit analysis, filters, power electronics, signal processing, impedance calculations, and electrical engineering.