Chapter 32, Problem 60EAP

The tuning circuit in an FM radio receiver is a series RLC circuit with a $0.\text{2}00\mu \text{H}$ inductor.

a. The receiver is tuned to a station at $\text{1}0\text{4}.\text{3 MHz}$ . What is the value of the capacitor in the tuning circuit?

b. FM radio stations are assigned frequencies every $0.\text{2 MHz}$ , but two nearby stations cannot use adjacent frequencies. What is the maximum resistance the tuning circuit can have if the peak current at a frequency of $\text{1}0\text{3}.\text{9 MHz}$ , the closest frequency that can be used by a nearby station, is to be no more than $0.\text{1}0\%$ of the peak current at $\text{1}0\text{4}.\text{3 MHz}$ ? The radio is still tuned to $\text{1}0\text{4}.\text{3 MHz}$ , and you can assume the two stations have equal strength.