A linearly polarized sinusoidal electromagnetic wave moving in the positive x direction has a wavelength of 7.60 mm. The magnetic field of the wave oscillates in the xz plane and has an amplitude of 6.90 µT. The magnitude of the electric field vector for this wave can be written as E = Emax sin(kx – wt). What are the following? (a) the value of Emax 2070 v V/m (b) the wave number k 826.73 m-1 (c) the angular frequency @ v rad/s 2.48e11 (d) the plane in which the electric field oscillates the xz plane the yz plane o the xy plane (e) the average Poynting vector (Express your answer in vector form.) Say = 11.37 · 10³i x W/m² (f) the radiation pressure exerted by this wave on a perfectly reflecting lightweight solar sail 3.79e-5 Pa (g) the acceleration of the solar sail if its dimensions are 5.00 m x 8.00 m and its mass is 40.0 g 0.038 m/s2

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
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A linearly polarized sinusoidal electromagnetic wave moving in the positive x direction has a wavelength of 7.60 mm. The magnetic field of the wave oscillates
in the xz plane and has an amplitude of 6.90 µT. The magnitude of the electric field vector for this wave can be written as E =
Emax sin(kx – øt). What are
the following?
(a) the value of Emax
2070
V/m
(b) the wave number k
826.73
m-1
(c) the angular frequency w
2.48e11
rad/s
(d) the plane in which the electric field oscillates
the xz plane
the yz plane
the xy plane
(e) the average Poynting vector (Express your answer in vector form.)
Sav
11.37 · 10°i
X W/m²
(f) the radiation pressure exerted by this wave on a perfectly reflecting lightweight solar sail
3.79e-5
Pa
(g) the acceleration of the solar sail if its dimensions are 5.00 m x 8.00 m and its mass is 40.0 g
0.038
m/s²
Transcribed Image Text:A linearly polarized sinusoidal electromagnetic wave moving in the positive x direction has a wavelength of 7.60 mm. The magnetic field of the wave oscillates in the xz plane and has an amplitude of 6.90 µT. The magnitude of the electric field vector for this wave can be written as E = Emax sin(kx – øt). What are the following? (a) the value of Emax 2070 V/m (b) the wave number k 826.73 m-1 (c) the angular frequency w 2.48e11 rad/s (d) the plane in which the electric field oscillates the xz plane the yz plane the xy plane (e) the average Poynting vector (Express your answer in vector form.) Sav 11.37 · 10°i X W/m² (f) the radiation pressure exerted by this wave on a perfectly reflecting lightweight solar sail 3.79e-5 Pa (g) the acceleration of the solar sail if its dimensions are 5.00 m x 8.00 m and its mass is 40.0 g 0.038 m/s²
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