Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 28 - Magnetic Fields - Questions - Page 828: 12c

Answer

We can rank the situations according to the pitch of the particle: $(3) \gt (2) \gt (1)$

Work Step by Step

We can write a general expression for the period of a charged particle moving in a magnetic field: $T = \frac{2\pi~m}{\vert q \vert~B}$ Since the period does not depend on the angle $\theta$, the period is equal in all three situations. In situation (3), the particle has the greatest vertical component of velocity parallel with the direction of the magnetic field. Therefore, it will translate vertically the largest distance in each loop of the motion. Situation (3) has the greatest pitch. Clearly situation (2) has the next greatest pitch and in situation (1), the pitch is zero. We can rank the situations according to the pitch of the particle: $(3) \gt (2) \gt (1)$
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