Solve the following problem:
Problem: In recent years it has been possible to buy a 1.0 Fcapacitor. This is an enormously large amount of capacitance. Suppose you want to build a 3.2Hzoscillator with a 1.0 F capacitor. You have a spool of 0.30-mm-diameter wire and a 4.4-cm-diameter plastic cylinder.
Part 1: How long must your inductor be if you wrap it with 2 layers of closely spaced turns?
Please show how you obtained the answer and express your answer to two significant figures and include the appropriate units.