A Simple Tuned FM Antenna Circuit Is Used to Pick $\mu$

question 27

Multiple Choice

A simple tuned FM antenna circuit is used to pick up radio signals.The circuit is a series RLC circuit with an inductor (9.50 $\mu$ H) and a variable capacitor which can be tuned to receive your favorite station.The radio signal from your favorite FM radio station produces a sinusoidal time-varying emf with an amplitude 15 $\mu$ V and a frequency of 88.7 MHz in the antenna,which acts as an ac emf.Another radio station produces a sinusoidal time-varying emf with the same amplitude but with a frequency of 88.5 MHz.With the circuit tuned to optimize reception at 88.7 MHz,what should the value of the resistance in the FM circuit be in order to attenuate by a factor of two (compared to the power if the circuit were optimized for 88.5 MHz) the current produced by the signal from the second station?

• A)4.3 * 10^-5 \(\varOmega\)
• B)10 \(\varOmega\)
• C)14 \(\varOmega\)
• D)24 \(\varOmega\)
• E)36 \(\varOmega\)

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