FM radio station KRTH in Los Angeles broadcasts on an assigned frequency of 101 MHz with a power of 50,000 W. (a) What is the wavelength of the radio waves produced by this station? (b) Estimate the average intensity of the wave at a distance of 36.1 km from the radio transmitting antenna. Assume for the purpose of this estimate that the antenna radiates equally in all directions, so that the intensity is constant over a hemisphere centered on the antenna. (c) Estimate the amplitude of the electric field at this distance.

University Physics Volume 2
18th Edition
ISBN:9781938168161
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Chapter16: Electromagnetic Waves
Section: Chapter Questions
Problem 45P: The electric field of an electromagnetic wave traveling in vacuum is described by the following wave...
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FM radio station KRTH in Los Angeles broadcasts on an assigned frequency of 101 MHz with a power of 50,000 W.
(a) What is the wavelength of the radio waves produced by this station?
(b) Estimate the average intensity of the wave at a distance of 36.1 km from the radio transmitting antenna. Assume for the purpose of this estimate that the antenna radiates equally in all
directions, so that the intensity is constant over a hemisphere centered on the antenna.
(c) Estimate the amplitude of the electric field at this distance.
Transcribed Image Text:FM radio station KRTH in Los Angeles broadcasts on an assigned frequency of 101 MHz with a power of 50,000 W. (a) What is the wavelength of the radio waves produced by this station? (b) Estimate the average intensity of the wave at a distance of 36.1 km from the radio transmitting antenna. Assume for the purpose of this estimate that the antenna radiates equally in all directions, so that the intensity is constant over a hemisphere centered on the antenna. (c) Estimate the amplitude of the electric field at this distance.
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