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
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter24: Electromagnetic Waves
Section: Chapter Questions
Problem 12OQ: Consider an electromagnetic wave traveling in the positive y direction. The magnetic field...
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