Chapter 14.1, Problem 37E

Radio antennas are made so that the electromagnetic radio waves “fit” on the wires. Think of a radio antenna as the x axis of a sine or cosine graph, depending on the kind of antenna. The ribbon-like FM antenna that comes with the purchase of most stereo receivers is actually a “half-wave folded dipole antenna” so that its length is roughly one-half of the wavelength of a frequency in the middle of the FM band. Because all electromagnetic waves move at the speed of light ( $3.00\times {10}^8$ m/s), how long is the typical FM ribbon antenna for a frequency of 98.0 MHz? Hint: The length of a half-wave antenna is one-half of a wavelength. (See Example 5.)