Question

The radio waves from your favorite radio station has a wavelength of 366m. The station broadcasts...

The radio waves from your favorite radio station has a wavelength of 366m. The station broadcasts with a total power of 40kW. The radio waves are hitting your car antenna which is 30km away from the station’s transmitter.

a) What is the electric field strength of the radio waves at your car antenna?

b) The radio receiver in your car uses a series RLC circuit to tune in the radio station. The circuit has a resistance of 0.50W, an inductance of 2.0mH, and a variable capacitor. What capacitance is needed to listen to your favorite radio station?

c) Using the values of R, L, and C from part (b), what is the impedance of the RLC circuit at the frequency of your favorite radio station? What is the impedance of the RLC circuit at a frequency that is 10kHz greater than that of your favorite station?

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