An electronics hobbyist is building a radio set to receive the \(\mathrm{AM}\) band, with frequencies from \(520 \mathrm{kHz}\) to \(1700 \mathrm{kHz}\). The antenna, which also serves as the inductor in an \(L C\) circuit, has an inductance of \(230 \mu \mathrm{H}\). She needs to add a variable capacitor whose capacitance she can adjust to tune the radio. What is the minimum capacitance the capacitor must have? The maximum value?