2. Suppose that your analog (traditional, non-digital) boom box has a manual tun

Question

2. Suppose that your analog (traditional, non-digital) boom box has a manual tuner dial that allows you to change the radio station. This tuner contains a series R-L-C circuit, and drive the circuit with the AC voltage from the radios antenna (perhaps ?amplified? a bit, to make its amplitude larger). a. (3 pts) If your radio tuner circuit presently bas an inductance of 17.50 pH. a capacitance of 01561 pF, and a resistance of L000 Q, that is the frequency of the radio station to which it is currently ''tuned''? (Namely, what is the natural resonant frequency?) Express your final answer in megahertz. Show your work.

Explanation / Answer

here by using ]

f = 1 / 2 * pie *sqrt L * C

then by putting the values

f = 1 / 2 * 3.14 * sqrt (17.50 * 10^-6 * 0.1561 * 10^-12 )

f = 1 / 6.28 * 1.6528 *10^-9

f = 1 / 10.3795 * 10^-9

f = 0.09634 * 10^9 hertz

the resonant frequency is 0.09637 * 10^3 megahertz

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