A long solenoid has 1000 turns. When a current of 4 A flows through it, the magnetic flux linked with each turn of the solenoid is 4×10-3 Wb. The self-inductance of the solenoid is

A long solenoid has 1000 turns. When a current of 4 A flows through it, the magnetic flux linked with each turn of the solenoid is 4×10-3 Wb. The self-inductance of the solenoid is

  1. A

    2H

  2. B

    1H

  3. C

    4H

  4. D

    3H

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    Solution:

     Here, N=1000,I=4 A,ϕ0=4×10-3 Wb

     Total flux linked with the solenoid, ϕ=Nϕ0

    =1000×4×10-3 Wb=4 Wb

     Since, ϕ=LI

     Self-inductance of solenoid, L=ϕI=4 Wb4 A=1H

     

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