Q.

A long solenoid of radius 1mm has 100 turns per mm.  If 1 A current flows in the solenoid, the magnetic filed strength at the centre of the solenoid is 

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a

6.28 x 10-2 T

b

12.56 x 10-2 T

c

6.28 x 10-4 T

d

12.56 x 10-4 T

answer is B.

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Detailed Solution

Magnetic fi eld due to a solenoid at its centre is B=μ0ni , where ‘n’ is the no. of turns per unit length and ‘i’ is the strength of the current.
Here, n=100103=105 turns / metre 
i = 1 A
So, B=4π×107×105
=4π×102=12.56×102T

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A long solenoid of radius 1mm has 100 turns per mm.  If 1 A current flows in the solenoid, the magnetic filed strength at the centre of the solenoid is