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Q.

Three solenoid coils of same dimension, same number of turns and same number of layers of windings are taken. Coil 1 with inductance L1 was wound using a Mn wire of resistance 11 Ω/m, coil 2 with inductance L2 was wound using the similar wire but the direction of winding was reversed in each layer; coil 3 with inductance L3 was wound using a superconducting wire. The self inductance of the coils L1, L2, L3 are

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a

L1 > L2 > L3

b

L1 = L2; L3 = 0

c

L1= L3; L2= 0

d

L1 = L2= L3

answer is B.

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Detailed Solution

The self-inductance of a coil L = μ0n2Al  where
μ0 = permeability of air,
n = number of turns per unit length,
A = Area of cross-section and
l = length of the solenoid
This depends on the geometry of the inductor such as cross-sectional area, length and number of turns and not on the material, even if it
is made of a super conducting material. If the superconductor is below the critical temperature, the current will continuously flow and the inductance may not have the property of inductance any more.  L1 = L2; L3= 0.

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