Exercise $30\mathrm{.}36-$ Enhanced $-$ with Feedback

The minimum capacitance of a variable capacitor in a radio is $4\mathrm{.}14$ pF $.$

Part A

What is the inductance of a coil connected to this capacitor if the oscillation frequency of the L$-$C circuit is $1\mathrm{.}52$ MHz $,$ corresponding to one end of the AM radio broadcast band, when the capacitor is set to its minimum capacitance? Express your answer in henries.

Part B

The frequency at the other end of the broadcast band is $0\mathrm{.}535$ MHz $.$ What is the maximum capacitance of the capacitor if the oscillation frequency is adjustable over the range of the broadcast band? Express your answer in farads.

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