The minimum capacitance of a variable capacitor in a radio is $4\mathrm{.}11$ pFpF$.$

Part A

What is the inductance of a coil connected to this capacitor if the oscillation frequency of the L$-$C circuit is $1\mathrm{.}56$ MHzMHz$,$ corresponding to one end of the AM radio broadcast band, when the capacitor is set to its minimum capacitance?

Express your answer in henries.

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Part B

The frequency at the other end of the broadcast band is $0\mathrm{.}543$ MHzMHz$.$ 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.