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A flat coil of wire is used with an LC-tuned circuit as a receiving antenna. The coil has a radius of 0.20 m and consists of 400 turns. The transmitted radio wave has a frequency of 1.1 MHz. The magnetic field of the wave is parallel to the normal to the coil and has a maximum value of 2.0 x 1013 T. Using Faradays law of electromagnetic induction and the fact that the magnetic field changes from zero to its maximum value in one-quarter of a wave period, find the magnitude of the average emf induced in the antenna during this time

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