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Q.

A wire of fixed length is wound on a solenoid of length l and radius r. Its self-inductance is found to be L. Now, if the same wire is wound on a solenoid of length l/2 and radius r/2, then the self-inductance will be

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a

2L

b

L

c

4L

d

8L

answer is A.

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Detailed Solution

L=μ0N2πr2l Length of wire=N2πr=Constant (=C, suppose)∴L=μ0(C2πr)2πr2l∴L∝1l∴∴ Self-inductance will become 2L.

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