Review. In the absence of cable input or a satellite dish,
Chapter 34, Problem 78(choose chapter or problem)
In the absence of cable input or a satellite dish, a television set can use a dipole-receiving antenna for VHF channels and a loop antenna for UHF channels. In Figure CQ34.9, the rabbit ears form the VHF antenna and the smaller loop of wire is the UHF antenna. The UHF antenna produces an emf from the changing magnetic flux through the loop. The television station broadcasts a signal with a frequency \(f\), and the signal has an electric field amplitude \(E_{\max }\) and a magnetic field amplitude \(B_{\max }\) at the location of the receiving antenna.
(a) Using Faraday's law, derive an expression for the amplitude of the emf that appears in a single-turn, circular loop antenna with a radius r that is small compared with the wavelength of the wave.
(b) If the electric field in the signal points vertically, what orientation of the loop gives the best reception?
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