Q 1 :    

A long solenoid of radius 1 mm has 100 turns per mm. If 1 A current flows in the solenoid, the magnetic field strength at the centre of the solenoid is          [2022]


 

  • 6.28×10-2T

     

  • 12.56×10-2T

     

  • 12.56×10-4T

     

  • 6.28×10-4T

     

(2)

Here, number of turns in the solenoid,

n=100/1 mm=100×103/m

Current in the solenoid, I=1 A

Magnetic field strength at the centre of the solenoid, B=μ0nI

=4π×10-7×105×1=12.56×10-2T



Q 2 :    

A long solenoid of 50 cm length having 100 turns carries a current of 2.5 A. The magnetic field at the centre of the solenoid is (μ0=4π×10-7T m A-1)       [2020]
 

  • 6.28×10-4T

     

  • 3.14×10-4T

     

  • 6.28×10-5T

     

  • 3.14×10-5T

     

(1)

Here, l=50cm,  N=100,  i=2.5A

Magnetic field inside the solenoid, B=μ0ni=μ0NIl

B=4π×10-7×100×2.50.5=6.28×10-4T