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: 50

Answer

a) $450V/m$ b) $7.20W/m^2$, $540W/m^2$

Work Step by Step

(a) We know that $E_{max}=cB_{max}$ $\implies E_{max}=(3\times 10^8m/s)(1.5\times 10^{-6}T)=450V/m$ Since the intensity is directly proportional to the square of the maximum electric field, thus the intensity of wave 2 is greater than that of wave 1. (b) We can calculate the intensity of each wave as follows: $I_1=c\epsilon_{\circ}E^2$ We plug in the known values to obtain: $I_1=(3\times 10^8m/s)(8.85\times 10^{-12}N.m^2/C^2)(52V/m)^2=7.20W/m^2$ and $I_2=c\epsilon_{\circ}E_{max}^2$ We plug in the known values to obtain: $I_2=(3\times 10^8m/s)(8.85\times 10^{-12}Nm^2/C^2)(450V/m^2)$ $I_2=540W/m^2$
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