Your local AM radio station broadcasts at a frequency of f = 1290 kHz. The electric-field component of the signal you receive at your home has the time dependence E(t) = E0 sin(2πft), where the amplitude is E0 = 0.99 N/C. Radio waves travel through air at approximately the speed of light. Part (a) At what wavelength, in meters, does this station broadcast? Part (b) What is the value of the radio wave’s electric field, in newtons per coulomb, at your home at a time of t = 4.1 μs?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
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Chapter34: Maxwell’s Equations And Electromagnetic Waves
Section34.4: Electromagnetic Waves
Problem 34.3CE: The electric part of an electromagnetic wave is given by E(x, t) = 0.75 sin (0.30x t) V/m in SI...
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Your local AM radio station broadcasts at a frequency of f = 1290 kHz. The electric-field component of the signal you receive at your home has the time dependence E(t) = E0 sin(2πft), where the amplitude is E0 = 0.99 N/C. Radio waves travel through air at approximately the speed of light. Part (a) At what wavelength, in meters, does this station broadcast? Part (b) What is the value of the radio wave’s electric field, in newtons per coulomb, at your home at a time of t = 4.1 μs?
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