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After you measure the self-inductance of a coil, you unwind it and then rewind one third...

After you measure the self-inductance of a coil, you unwind it and then rewind one third the length of the wire into a coil with the same diameter and third length and with half the number of turns. How does this change the self-inductance?
L = μ₀n^(2)AI

Please show me how the final equation comes about.

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