An air-filled cylindrical inductor has 2600 turns, and it is 2.5 cm in diameter and 28.2 cm

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An air-filled cylindrical inductor has 2600 turns, and it is 2.5 cm in diameter and 28.2 cm long.
(a) What is its inductance?
(b) How many turns would you need to generate the same inductance if the core were iron-filled instead? Assume the magnetic permeability of iron is about 1200 times that of free space.
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