Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 25 - Electromagnetic Waves - Problems and Conceptual Exercises - Page 902: 47

Answer

(a) $1.1V/m$ (b) $3.3KW/m^2$ (c) $1.6KW/m^2$

Work Step by Step

(a) We know that $E=cB$ We plug in the known values to obtain: $E=(3.00\times 10^8)(3.7\times 10^{-6})$ $E=1.1V/m$ (b) As $I=\frac{c}{\mu_{\circ}}B^2$ We plug in the known values to obtain: $I=\frac{3.00\times 10^8}{4\pi\times 10^{-7}}(3.7\times 10^{-6})^2$ $I=3.3KW/m^2$ (c) We can find the average intensity as $I_{avg}=\frac{c}{\mu{\circ}}B_{rms}^2$ We plug in the known values to obtain: $I_{avg}=\frac{3.00\times 10^8}{4\pi\times 10^{-7}}(\frac{3.7\times 10^{-6}}{\sqrt2})=1.6KW/m^2$
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