(Solved): 7. The minimum capacitance of a variable capacitor in a radio is 7.82pF. (a) What is the induct ...

7. The minimum capacitance of a variable capacitor in a radio is $7.82\mathrm{pF}$. (a) What is the inductance of a coil connected to this capacitor if the oscillation frequency of the $LC$ circuit is $2310\times 10^3\mathrm{Hz}$, corresponding to one end of the AM radio broadcast band, when the capacitor is set to its minimum capacitance? (b) The frequency at the other end of the broadcast band is $315\times 10^3\mathrm{Hz}$. What is the maximum capacitance of the capacitor if the oscillation frequency is adjustable over the range of the broadcast band? $2.5\times 10^{?2}\mathrm{H}$ Option 5 $6.1\times 10^{?4}\mathrm{H}$ Option 1 $50\mathrm{H}$