Question
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 $1.00 \times 10^{-12} \textrm{ T}$. (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 $2.50 \textrm{ }\mu\textrm{H}$, what capacitance must it have to resonate at 100 MHz?
1. $8.44 \times 10^{-12} \textrm{ W}$
2. $5.65 \times 10^{-3} \textrm{ V}$
3. $1.01 \times 10^{-12} \textrm{ F}$
Solution Video