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Chapter 4: Q7E (page 1044)

Kitchen Capacitance. The wiring for a refrigerator contains a starter capacitor. A voltage of amplitude 170 V and frequency 60.0 Hz applied across the capacitor is to produce a current amplitude of 0.850 A through the capacitor. What capacitance C is required?

Short Answer

Expert verified

The required capacitance,C=13.3µF

Step by step solution

01

Given Data

A capacitor is a device consisting of two conductors in close proximity that are used to store electrical energy. These conductors are insulated from each other. When a capacitor is attached to an AC supply, the resistance produced by it is called capacitive reactance (XC).

The amplitude of voltage, V=170 V

The amplitude of current, l=0.850 A

Frequency of the source, f =60 Hz

02

Determination of Capacitance required

Capacitive Reactance for an AC source,

XC=VI

Capacitive reactance in terms of frequency and capacitance is given by,

XC=12πfc

By both equation we get,

VI=12πfcC=12πfVC=0.852π60170C=13.3*10-6F

Therefore, the required capacitance,C=13.3μF

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