University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 32 - Electromagnetic Waves - Problems - Exercises - Page 1073: 32.3

Answer

$1.33\times10^{-8}T$ in the +y direction.

Work Step by Step

For an EM wave, $B_{max}=\frac{E_{max}}{c}=\frac{4.00V/m}{3.00\times10^{8}m/s}=1.33\times10^{-8}T$. The wave is propagating in the +z direction, which is the direction of $\vec{E} \times \vec{B}$. We know $\vec{E}$ is in the +x direction. The only consistent direction for $\vec{B}$ is the +y direction.
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