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A radio station broadcasts at frequency f = 99.3 MHz using a dipole antenna with average power P = 6 kW. You are trying to

A radio station broadcasts at frequency f = 99.3 MHz using a dipole antenna with average power P = 6 kW. You are trying to pick up the signal on your radio approximately d = 100 km away, at an altitude of h = 1400 m relative to where it was broadcasted. Obtain an order-of-magnitude estimate of the peak emf E_0 achievable with a circular antenna consisting of N = 102 loops of radius r_0 = 0.05 m on your radio receiver. Express your answer in the form E_0 10n volts where n is an integer. (Hint: Derive a formula for the peak emf E_0 in terms of the given variables before plugging in any numbers.)

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