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Q.

Two coils are made of copper wires of same length. In the first coil the number of turns is 3 n and radius is r. In the second coil number of turns is n and the radius is 3r. The ratio of self-inductances of the coils will be

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a

3 : 1

b

1 : 3

c

9 : 1

d

1 : 9

answer is A.

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Detailed Solution

The self-inductance of the coil isL=μ0πN2r2 or L∝N2r ∴L1L2=N1N22r1r2=3nn2r3r=3:1

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