A 200-turn flat coil of wire 30.0 cm in diameter acts as an antenna for FM radio

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A 200-turn flat coil of wire 30.0 cm in diameter acts as an antenna for FM radio at a frequency of 100 MHz. The magnetic field of the incoming electromagnetic wave is perpendicular to the coil and has a maximum strength of 1.00 × 10-12 T.

(a) What power is incident on the coil? 

(b) What average emf is induced in the coil over one-fourth of a cycle?

(c) If the radio receiver has an inductance of 2.50 μH, what capacitance must it have to resonate at 100 MHz?

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