A long solenoid has 1000 turns. When a current of 4 A flows through it the magnetic flux linked with each…

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. 4H
  2. 3H
  3. 2H
  4. 1H

Solution

In the case of self-inductance of the solenoid, magnetic flux ϕ is directly proportional to the current i flowing in the coil. The flux through each turn is equal to the flux linkage.

The relation is given as Nϕ=Li, here N is the number of turns and L is inductance.

So putting the given values, we get

1000×4×10-3=L×4

Thus, the self inductance is 1 H.

Asked in: MHT CET Full Test 8

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