An AM radio tuning circuit has a coil with an inductance of 3.93 mH and a capacitor set at 5.68 × 10−¹² F.What frequency will it detect? A)8.90E+5 Hz B)1.07E+6 Hz C)1.78E+6 Hz D)1.70E+5 Hz E)5.33E+5 Hz

Question

Quizplus · Accepted Answer

The resonant frequency of a series RLC circuit, such as an AM radio tuning circuit, is given by the formula:

f = 1 / (2π√(LC))

Plugging in the values given, we get:

f = 1 / (2π√(3.93 mH × 5.68 × 10−11 F))

f = 1.07 × 106 Hz

Therefore, the circuit will detect a frequency of approximately 1.07 × 106 Hz, so the best choice is B.

An AM Radio Tuning Circuit Has a Coil with an Inductance