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A flat coil of wire is used with an LC-tuned circuit as a receiving antenna. The

ID: 2072364 • Letter: A

Question

A flat coil of wire is used with an LC-tuned circuit as a receiving antenna. The coil has a radius of 0.34 m and consists of 430 turns. The transmitted radio wave has a frequency of 1.2 MHz. The magnetic field of the wave is parallel to the normal to the coil and has a maximum value of 2.0 x 10-12 T. Using Faraday's 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.

Explanation / Answer

induced emf = NBAW = 430*2*10^-12*3.14*0.34^2*2*3.14*1.2*10^6 = 0.00235V

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