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Question

There are 50 turns of a wire in every 1 cm length of a long solenoid. If a 4 A current is flowing in the solenoid, the approximate value of magnetic field along its axis at an internal point and at one end will be respectively
  1. 12.6×103Weberm2,6.3×103Weberm2
  2. 12.6×103Weberm2,25.1×103Weberm2
  3. 25.1×103Weberm2,12.6×103Weberm2 
  4. 25.1×105Weberm2,6.3×105Weberm2 


Solution

The correct option is C 25.1×103Weberm2,12.6×103Weberm2 
No of turns per metre =500.01=5000
Magnetic field inside the solenoid is given by
Bin=μ0ni

and magnetic field at the ends of a solenoid is given by
Bend=Bin2=μ0ni2

Substituting the values of μ0=4π×107,i=4 A and n=5000, we get
Bin=25.1×103 Weberm2 and Bend=12.6×103 Weberm2

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