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Q.

A long solenoid has 100 turns per cm and carries a current i. The magnetic field at its centre is 6x10–2Wb/m2. Another long solenoid has 400 turns per cm and it carries a current i/2. The value of the magnetic field at its centre is

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a

6×104Web/m2

b

12×102Web/m2

c

8×105Web/m2

d

10×102Web/m2

answer is B.

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Detailed Solution

B =μ0ni;B'=μ0n'i/2;B1B2=n1n2ii/26×102B=100400×2;B=12×102T 

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A long solenoid has 100 turns per cm and carries a current i. The magnetic field at its centre is 6x10–2Wb/m2. Another long solenoid has 400 turns per cm and it carries a current i/2. The value of the magnetic field at its centre is