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Q.

The magnetic induction at the centre of a very long solenoid is B. If the length of the solenoid is reduced to half and the same wire is wound in two layers the new magnetic induction is

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a

B

b

4B

c

B2

d

2B

answer is B.

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Detailed Solution

B=μ0ni⇒B=μ0nil⇒B∝1l⇒B1B2=l2l1⇒B1B2=l/2l⇒B2=2B1

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The magnetic induction at the centre of a very long solenoid is B. If the length of the solenoid is reduced to half and the same wire is wound in two layers the new magnetic induction is