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Chapter 30: Q44P (page 899)

A12 Hinductor carries a current of2.0 A. At what rate must the current be changed to produce a60 Vemf in the inductor?

Short Answer

Expert verified

didt=-5.0A/s

Step by step solution

01

Given

  1. Inductance of inductor, L=12.0H
  2. Current through inductor,i=2.0A
  3. Emf induced, 蔚=60V
02

Understanding the concept

We can use Faraday鈥檚 law of electromagnetic induction and the definition of inductance to find the rate of change of current through the inductor.

Formula:

蔚=-d蠒Bdt

蠒B=Li

03

Calculate at what rate must the current be changed to produce a emf in the inductor

We have

蔚=-d蠒Bdt=-ddtLi

As the inductance is fixed for a given inductor, then

蔚=-d蠒Bdt=-Ldidt

So using the above equation we get

didt=-蔚L=6012.0=- 5.0A/s

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