Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 20 - Magnetism - Problems - Page 584: 18

Answer

1.4 T to the east.

Work Step by Step

The electron’s velocity is perpendicular to the magnetic field, so the magnetic force is maximum. The magnitude is given in equation 20–4. $$F_{max}=6.2\times10^{-13}N =qvB=(1.60\times10^{-19}C)(2.8\times10^6m/s)B $$ The magnetic field has a magnitude of 1.4 T. Use the right hand-rule, as described on page 566, to calculate the direction of the force on a positively-charged particle. Since this charge is negative, the force is opposite to the result given by the right-hand rule. Note: Some instructors advocate the use of a “left-hand rule” for negative charges, which also works. The magnetic field is directed to the east.
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