Fundamentals of Physics Extended (10th Edition)

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

Chapter 17 - Waves-II - Problems - Page 508: 31

Answer

$$2\ \mu \mathrm{W} \text { } $$

Work Step by Step

We use $$\beta=10 \log \left(I / I_{0}\right)$$ with $$I_{0}=1 \times 10^{-12} \mathrm{W} / \mathrm{m}^{2}$$ and $$I=P / 4 \pi r^{2}$$ We estimate $r \approx 0.3 \mathrm{m}$ and find $$ P \approx 4 \pi(0.3 \mathrm{m})^{2}\left(1 \times 10^{-12} \mathrm{W} / \mathrm{m}^{2}\right) 10^{6.2}=2 \times 10^{-6} \mathrm{W}=2\ \mu \mathrm{W} \text { } $$
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