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A coil of wire of radius r has 600 turns and a self inductance of 108 mH. The self inductance of a similar coil of 500 turns will be

a
75 mH
b
108 mH
c
90 mH
d
108 x (5/6)3 mH

detailed solution

Correct option is A

The inductances of two coils ate given byL1=μ0N12πr2 and L2=μ0N22πr2 Now L2L1=N2N12 or L2=L1N2N12∴L2=108×5006002=75mH.

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