Problem

A 300-turn solenoid has a radius of 5.00 cm and a…

02:25

Problem 49 Medium Difficulty

(a) If an inductor carrying a 1.70-A current stores an energy of 0.300 mJ, what is its inductance? (b) How much energy does the same inductor store if it carries a 3.00-A current?

Answer

a. 208 \mu H
b. 0.94 \mathrm{mJ}

Topics

Electric Charge and Electric Field

Electric Potential

Current, Resistance, and Electromotive Force

Electromagnetic Induction

Inductance

Book Cover for College Physics 2017

College Physics 2017

Chapter 20

Induced Voltages and Inductance

Discussion

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Top Physics 102 Electricity and Magnetism Educators

Elyse G.

Cornell University

Christina K.

Rutgers, The State University of New Jersey

Marshall S.

University of Washington

Aspen F.

University of Sheffield

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Video Transcript

Okay, So energy is given by 1/2 times induct inst times. Kurt Squared. Therefore induct Ince's equal to two times energy over I square. Um, energy. Really have where given is point through, Millie. Jewel. Some 0.0.3 times. 10 to the negative. Three. Jos current is two amps. So that's two are I should say, 1.7 amps, 1.7 amps squared. This gives you an inductive nce off 2.8 times 10 to the negative for Henry or about point to Millie. Henry, that was part of it. And for part B. Um, same equation. This time we're finding energy. So it's 1/2 ally squared. Uh, l we just found to be 2.8 times 10 to the negative for Henry. Um, And I this time is three amps square that you get, uh, 0.94 No, Jules. And that's it.

Farhanul H.

New Mexico State University

Topics

Electric Charge and Electric Field

Electric Potential

Current, Resistance, and Electromotive Force

Electromagnetic Induction

Inductance

Book Cover for College Physics 2017

College Physics 2017

Chapter 20

Induced Voltages and Inductance

Top Physics 102 Electricity and Magnetism Educators

Elyse G.

Cornell University

Christina K.

Rutgers, The State University of New Jersey

Marshall S.

University of Washington

Aspen F.

University of Sheffield