Fundamentals of Physics Extended (10th Edition)

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

Chapter 33 - Electromagnetic Waves - Problems - Page 1001: 7

Answer

$I=1.2\times 10^6W/m^2$

Work Step by Step

The intensity of an electromagnetic wave is equal to the intensity of the Poynting vector, which is $$S=\frac{E_{m}B_{m}}{2\mu_o}$$ Using the relation that $E_{max}=cB_{max}$, the intensity becomes $$S=\frac{cB_m^2}{2\mu_o}$$ Using the value of $B_m=1.0\times 10^{-4}T$ in the equation yields $$S=\frac{(3.00\times 10^8m/s)(1.0\times 10^{-4}T)^2}{2(4\pi \times10^{-7}N/A^2)}=1.2\times 10^6W/m^2$$
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