The inductance of a coil will increase under all the following conditions except

The inductance of a coil will increase under all the following conditions except Correct Answer When more length for the same number of turns is provided

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A large circular coil of N turns and radius R carries a time varying current $$I = {I_0}\sin \left( {\omega t} \right).$$   A small circular coil of n turns and radius r(r ≪ R) is placed at the centre of the large coil such that the coils are concentric and coplanar. The induced emf in the small coil