Review. 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 often called "rabbit ears." The television station broadcasts a signal with a frequency f, and the signal has an electric field amplitude and a magnetic field amplitude 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 smalled 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?
