Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 32 - The Magnetic Field - Exercises and Problems - Page 957: 24

Answer

$\bf 2.4\;\rm kA$

Work Step by Step

We know that the magnetic field created by a solenoid is given by $$B=\dfrac{\mu_0NI}{l}$$ And we need to find the current needed, so $$I=\dfrac{lB}{\mu_0 N}$$ where $N$ is the number of turns which is given by the total length of the wire divided by the diameter of the wire. $$I=\dfrac{lB}{\mu_0 (l/D)}$$ $$I=\dfrac{ DB}{\mu_0 }$$ Plug the known; $$I=\dfrac{ DB}{\mu_0 }$$ $$I=\dfrac{ (2\times10^{-3})(1.5)}{(4\pi \times10^{-7})}$$ $$I=\color{red}{\bf 2.39}\;\rm kA$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.