An electromagnetic wave traveling in vacuum far away from its source has a magnetic field B(z, t) = - (8.25 x 10-9 T) j sin[(1.38 x 104 rad/m) z + w t)]. (a) Determine the frequency and wavelength of the wave. (b) Find the electric field (vector) as a function of position and time only. (c) The wave is aimed at a 10 cm x 10 cm square which absorbs the wave completely. How much energy is delivered to the square each hour?

An electromagnetic wave traveling in vacuum far away from its source has a magnetic field B(z, t) = - (8.25 x 10-9 T) j sin[(1.38 x 104 rad/m) z + w t)]. (a) Determine the frequency and wavelength of the wave. (b) Find the electric field (vector) as a function of position and time only. (c) The wave is aimed at a 10 cm x 10 cm square which absorbs the wave completely. How much energy is delivered to the square each hour?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section: Chapter Questions

Problem 36PQ

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