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. The VHF antenna consisted of two straight metal rods that were often called “rabbit ears.” The UHF antenna produces an emf from thechanging magnetic flux through the loop. The television station broadcasts a signal with a frequency f, and the signal has an electric field amplitude Emax and a magnetic field amplitude Bmax 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?
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. The VHF antenna consisted of two straight metal rods that were often called “rabbit ears.” 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 Emax and a magnetic field amplitude Bmax 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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