Circular coil 1 has N turns and circular coil 2 has 6N. Coil 1 has area A and coil 2 has area A/4. If Coil 1 has current i running through it, and coil 2 has current 3i running through it, what is ratio of their self inductances L1/L2

Explanation:

Recall that the formula for an inductance (L) for coil on N turns, are A and current I is given by:

Then, for the first coil we have;

and for coil 2 we have:

then, the quotient L1/L2 can be written as:

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explanation:

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