Determine the Capacitive Reactance (in Ohms) of a 5 microFarads capacitor for a 60 Hertz frequency.

Answered: Determine the Capacitive Reactance (in…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Determine the Capacitive Reactance (in Ohms) of a 5 microFarads capacitor for a 60 Hertz frequency.

Expert Solution

Step 1: Introduction and Capacitive Reactance Formula

Capacitive reactance ( $X_{C}$ ) represents the opposition that a capacitor offers to alternating current (AC) flow. It's inversely proportional to the frequency of the AC signal and the capacitance of the capacitor. As frequency increases, the capacitive reactance decreases, making the capacitor more resistive to AC flow. In our case, a 5 microFarads capacitor at a 60 Hertz frequency has a capacitive reactance of approximately 530.52 Ohms.

The capacitive reactance ( $X_{C}$ ) is given by the formula:

X subscript C ​ equals fraction numerator 1 over denominator 2 pi f C end fraction ​

Where:

$X_{C}$ = Capacitive reactance (in Ohms)
$f$ = Frequency (in Hertz)
$C$ = Capacitance (in Farads)
$π$ = Pi (approximately 3.14159)

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