Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 21 - Magnetic Forces and Magnetic Fields - Check Your Understanding - Page 584: 2

Answer

(d) Both particles experience the same magnetic force, because the component of each velocity that is perpendicular to the magnetic field is the same

Work Step by Step

In general, if a charge moves at an angle $\theta$ with respect to the magnetic field, only the velocity component, $v\sin\theta$, which is perpendicular to the field, gives rise to a magnetic force and the component, $v\cos\theta$, which is parallel to the field yields no field. In the given diagram, the component of each velocity that is perpendicular to the magnetic field is the same. Therefore, both the particles experience the same magnetic force as they move in the magnetic field.
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