If a sinusoidal current i(t)=5sin(30t) mA passes through a inductor with L=20.5 micro Henry then what will be the maximum voltage across the inductor?

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter16: Inductance In Ac Circuits
Section: Chapter Questions
Problem 2PP: What frequency must be applied to a 33-mH inductor to produce an inductive reactance of 99.526 ?
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If a sinusoidal current i(t)=5sin(30t) mA passes through a inductor with L=20.5 micro Henry then what will be the maximum voltage across the inductor?

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Step 1

If a time-varying current i(t) flows across an inductor of inductance L, then the expression of the voltage developed will be

Electrical Engineering homework question answer, step 1, image 1

 

Step 2

In this case, the value of the inductance of the inductor is given as

Electrical Engineering homework question answer, step 2, image 1

And the expression of the sinusoidal time-varying current is given as 

Electrical Engineering homework question answer, step 2, image 2

 

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