A plane electromagnetic wave varies sinusoidally at 81.4 MHz as it travels through vacuum along the positive x direction. The peak value of the electric field is 2.12 mV/m, and it is directed along the positive y direction. (a) Find the wavelength. 3.69 ✔m (b) Find the period. 12.3 ✔ns (c) Find the maximum value of the magnetic field. 7.07 ✓ PT pT (d) Write expressions in SI units for the space and time variations of the electric field. (x is in meters, and t in seconds.) E = (2.12E-3 ✓) cos 2x( x magnitude Did you accidentally divide or take the inverse in your calculation?x - 81.4E6 direction +y Write expressions in SI units for the space and time variations of the magnetic field. (x is in meters, and t in seconds.) B = (7.07E-12✔ ) cos 2л( [ x Did you accidentally divide or take the inverse in your calculation?x - 81.4E6 ✔ t) magnitude direction +z (e) Find the average power per unit area this wave carries through space. 5.97E-9 W/m² t) (f) Find the average energy density in the radiation. 2E-17 J/m3 (g) What radiation pressure would this wave exert upon a perfectly reflecting surface at normal incidence? x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. Pa
A plane electromagnetic wave varies sinusoidally at 81.4 MHz as it travels through vacuum along the positive x direction. The peak value of the electric field is 2.12 mV/m, and it is directed along the positive y direction. (a) Find the wavelength. 3.69 ✔m (b) Find the period. 12.3 ✔ns (c) Find the maximum value of the magnetic field. 7.07 ✓ PT pT (d) Write expressions in SI units for the space and time variations of the electric field. (x is in meters, and t in seconds.) E = (2.12E-3 ✓) cos 2x( x magnitude Did you accidentally divide or take the inverse in your calculation?x - 81.4E6 direction +y Write expressions in SI units for the space and time variations of the magnetic field. (x is in meters, and t in seconds.) B = (7.07E-12✔ ) cos 2л( [ x Did you accidentally divide or take the inverse in your calculation?x - 81.4E6 ✔ t) magnitude direction +z (e) Find the average power per unit area this wave carries through space. 5.97E-9 W/m² t) (f) Find the average energy density in the radiation. 2E-17 J/m3 (g) What radiation pressure would this wave exert upon a perfectly reflecting surface at normal incidence? x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. Pa
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 72PQ
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Transcribed Image Text:A plane electromagnetic wave varies sinusoidally at 81.4 MHz as it travels through vacuum along the positive x direction. The peak value of the electric field is 2.12 mV/m, and it is directed along the
positive y direction.
(a) Find the wavelength.
3.69
m
(b) Find the period.
12.3
(c) Find the maximum value of the magnetic field.
7.07
pT
(d) Write expressions in SI units for the space and time variations of the electric field. (x is in meters, and t in seconds.)
E = (2.12E-3
) сos 2л(
X
magnitude
Did you accidentally divide or take the inverse in your calculation?x 81.4E6
direction +y
ns
magnitude
Write expressions in SI units for the space and time variations of the magnetic field. (x is in meters, and t in seconds.)
B =
(7.07E-12
) сos 2л(
X
Did you accidentally divide or take the inverse in your calculation?x 81.4E6
+Z
direction
(e) Find the average power per unit area this wave carries through space.
5.97E-9
W/m²
t)
(f) Find the average energy density in the radiation.
2E-17
J/m³
t)
(g) What radiation pressure would this wave exert upon a perfectly reflecting surface at normal incidence?
X
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. Pa
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