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Chapter 30: Q. 10 (page 869)

10. An inductor with a2.0A current stores energy. At what current will the stored energy be twice as large?

Short Answer

Expert verified

The stored energy will be twice the initial store energy at 2.8 A current.

Step by step solution

01

Step 1. Given information

Initial current isii=2A

02

Step 2. Explanation

The initial energy stored in the inductor is

Ui=12Lii2

And the final energy stored in the inductor is

Uf=12Lif2

The final energy is twice the initial energy, hence,

Uf=2Ui鈬�UfUi=212Lif212Li2=2鈬�if2=2ii2鈬�if=2iiif=2(2.0A)=2.8A

The stored energy will be twice the initial store energy at 2.8 A current.

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