What is the minimum capacitance the capacitor must have, Physics

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What is the minimum capacitance the capacitor must have

An electronics hobbyist is building a radio set to receive the AM band, with frequencies from 520 kHz to 1500 kHz . The antenna, which also serves as the inductor in an LC circuit, has an inductance of 195 μH. She needs to add a variable capacitor whose capacitance she can adjust to tune the radio.

Part A: What is the minimum capacitance the capacitor must have?

Part B: What is the maximum capacitance the capacitor must have?

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