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 1008: 81c

Answer

$I=1910 W/m^2$

Work Step by Step

The intensity of a ray is equal to the average value of the Poynting vector, which is $$I=S=\frac{E_mB_m}{2\mu_o}$$ Using the relation that $E_m=cB_m$, the equation becomes $$I=\frac{cB_m^2}{2\mu_o}$$ Substituting the value of $B_m=4.0\times 10^{-6}T$ and $c=3.00\times 10^8m/s$ yields $$I=\frac{(3.00\times 10^8m/s)(4.0\times 10^{-6}T)^2}{2(4\pi \times 10^{-7} Tm)}$$ $$I=1910 W/m^2$$
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