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AC Components and Circuits
Capacitive Reactance

Section 6-2 Capacitive Reactance


Capacitive Reactance

 

Definition

Capacitive Reactance

Capacitive reactance is the opposition to alternating or pulsating current caused by a capacitor.

 

Capacitive reactance is similar to resistance in the sense that it opposes current flow. One of the major differences, however, is that the value of capacitive reactance changes with the applied frequency--resistor values do no.

Equation

Capacitive Reactance

XC=

1

2pfC

Where

XC = Capacitive reactance in Ohms
f = Frequency in Hertz
C = Capacitance in Farads

 

These curves show how capacitive reactance changes with frequency and the value of the capacitor, itself.

All other things being equal, the first diagram shows that XC rises very rapidly with decreasing frequency. In fact, XC approaches infinity as the applied frequency approaches 0 Hz, or direct-current. XC approaches zero as the frequency increases.

Again, all other things being equal, the second  diagram shows that larger values of capacitance lower the reactance: Very small capacitors provide high values of XC, whereas larger capacitors tend to show lower reactance.

 

 

XC =

1

2pfC

 

 

More Examples

Endless Examples & Exercises

Given the value of an capacitor and the frequency of the applied sinusoidal waveform,  calculate the amount of capacitive reactance.

Variations of the XC Equation

Solve for the value of the capacitor: C = 

1

2pfXC

This is a design situation where you need to select a capacitor that will provide a known amount of reactance at a certain frequency.

Given values for f and XC, calculate the value of the capacitor.

Solve for the frequency: f = 

1

2pCXC

 

 

 

 

David L. Heiserman, Editor

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All Rights Reserved

Revised: June 06, 2015