Answered: A sinusoidal current of amplitude 10 A…

A sinusoidal current of amplitude 10 A and frequency of 10 kHz is applied and allowed to flow through a 10 mH inductor. Find the voltage across the inductor.

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)

10th Edition

ISBN:9781337399128

Author:Russell E. Smith

Publisher:Russell E. Smith

Chapter8: Basic Electric Motors

Section: Chapter Questions

Problem 25RQ: List the five capacitor replacement rules.

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Concept explainers

Capacitor

The capacitor is an element used to store electrical energy in the electrical field. A capacitor is a form of passive energy.

Question

A sinusoidal current of amplitude 10 A and frequency of 10 kHz is applied and allowed to flow through a 10 mH inductor. Find the voltage across the inductor.

Expert Solution

Step 1

If i(t) A is the time varying current flowing through an inductor of inductance L H, then the voltage developed across the inductor can be expressed as

Step 2

In this case, the value of the inductor is given as 10 mH. The current is of sinusoidal nature with an amplitude of 10 A and frequency of 10 kHz. So, the expression of the current can be written as

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