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 1006: 73d

Answer

$I=3.32\times 10^{-2}W/m^2$

Work Step by Step

The intensity of light is equal to the average value of the Poynting vector, which is $$S=\frac{E_mB_m}{2\mu_o}$$ Using the relation that $E_m=cB_m$ and $B_m=\frac{E_m}{c}$, the expression becomes $$S=\frac{E_m^2}{2c\mu_o}$$ Substituting the maximum value of $E_m=5.00V/m$ yields $$S=I=\frac{(5.00V/m)^2}{2(3.00\times 10^8m/s)(4\pi \times 10^{-7} T m)}=3.32\times 10^{-2}W/m^2$$
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