Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 22 - Magnetism - Problems and Conceptual Exercises - Page 797: 87

Answer

(a) $4.52\times 10^7\frac{C}{Kg}$ (b) less than

Work Step by Step

(a) We know that $r=\frac{mv}{qB}$ This can be rearranged as: $\frac{q}{m}=\frac{v}{Br}$ We plug in the known values to obtain: $\frac{q}{m}=\frac{8.70\times 10^6}{1.21(0.15)}$ $\frac{q}{m}=4.52\times 10^7\frac{C}{Kg}$ (b) As we can see in part (a), $\frac{q}{m}$ is inversely proportional to r. Increasing $r$ thus decreases the $q/m$ ratio.
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