College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 22 - Problems - Page 863: 23

Answer

In the time it takes the current to make one oscillation, the EM wave travels a distance of 5000 km. The wavelength of a 60-Hz EM wave is 1.2 times the distance between Boston and Los Angeles.

Work Step by Step

If the current oscillates at a frequency of 60 Hz, then the current oscillates 60 times per second. The time for one oscillation is $\frac{1}{60}~s$ We can find the distance the EM wave travels in this time: $d = (300,000~km/s)(\frac{1}{60}~s) = 5000~km$ In the time it takes the current to make one oscillation, the EM wave travels a distance of 5000 km. We can compare this length to the distance between Boston and Los Angeles: $\frac{5000~km}{4200~km} = 1.2$ The wavelength of a 60-Hz EM wave is 1.2 times the distance between Boston and Los Angeles.
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