# Capacitive Reactance Formula

A capacitor is a device used to store electrical energy. The capacitance of a capacitor determines the amount of charging a capacitor can achieve. The measure of the opposition to alternating current by the capacitor is calledÂ Capacitive Reactance.Â The unit of Capacitive Reactance is Ohms like resistance. The symbol ofÂ Capacitive Reactance isÂ XCÂ .

Capacitive Reactance Formula is expressed by

$$\begin{array}{l}X_C=\frac{1}{2\Pi fC}\end{array}$$

Where in,

XCÂ Â is the capacitance reactance measured in ohms

f = frequency in hertz

## Solved Examples

Example 1

Calculate the capacitive reactance if 40 mF is connected to a frequency generator of 50 Hz signal.

Solution

According to given parameters

C= 40Â mF

F = 50Hz

The capacitance reactance formula is given by

Xc = 1 / 2Ï€fC

= 1 / 2Ã—3.14Ã— 40Ã—10âˆ’3Ã—50

Example 2

Calculate the reactance of capacitance in an AC circuit wherein the input signal has a frequency of 100 Hz and a capacitor has a capacitance of 1000mF in a circuit.

Solution

Given

F = 100 Hz

C = 1000 mF

The capacitance reactance formula is given by

xc = 1 / 2Ï€fc

xc = 1 / 2 x 3.14Â  x 100 x 1000 x 10-3