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The satellite TV system used by the author employs a satellite in geosynchronous orbit about the Earth. This satellite transmits an electromagnetic wave with a total power of approximately . Assume all this power is at a single frequency and is broadcast to an area of just the continental United States. Estimate the following quantities.
(a) The author's satellite dish has a diameter of about . What is the total power received by this antenna?
(b) What is the amplitude of the electric field received by the antenna?
(c) Estimate the magnitude of the voltage that is induced at the antenna. For simplicity, assume .