Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 31 - Electromagnetic Fields and Waves - Conceptual Questions - Page 900: 8

Answer

(a) $I = 40~W/m^2$ (b) $I = 40~W/m^2$ (c) $I = 40~W/m^2$ (d) $I = 10~W/m^2$

Work Step by Step

We can write an expression for the intensity of an electromagnetic wave: $I = \frac{EB}{2\mu_o} = \frac{E^2}{2\mu_0~c} = \frac{cB^2}{2\mu_0}$ (a) If the amplitude of the electric field is doubled, then the intensity increases by a factor of 4. $I = 40~W/m^2$ (b) If the amplitude of the magnetic field is doubled, then the intensity increases by a factor of 4. $I = 40~W/m^2$ (c) If the amplitude of the electric field is doubled and the amplitude of the magnetic field is doubled, then the intensity increases by a factor of 4. $I = 40~W/m^2$ (d) The intensity does not depend on the frequency. $I = 10~W/m^2$
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