Fundamentals of Physics Extended (10th Edition)

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

Chapter 29 - Magnetic Fields Due to Currents - Problems - Page 862: 68c

Answer

Since $v \times B = 0$, the magnitude of the force on the electron is zero.

Work Step by Step

By the right hand rule, the magnetic field is directed perpendicular to the direction of the current. For example, if the current is moving in the +x direction, the magnetic field is directed in the +z direction. If the direction of velocity is perpendicular to the direction in (a) and (b), then the velocity is parallel (or anti-parallel) to the magnetic field. We can write an expression for the magnitude of the force on the electron: $F = \vert q \vert ~v\times B$ Since $v \times B = 0$, the magnitude of the force on the electron is zero.
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