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ExamsJEE MainPhysics

A solenoid has a fixed total number of turns and a fixed cross-sectional area. Its length L is changed by varying the spacing between successive turns. How does the inductance of the solenoid depend on L?

  1. Directly proportional to L
  2. Directly proportional to L²
  3. Inversely proportional to L²
  4. Inversely proportional to L

Correct answer: Inversely proportional to L

Solution

Inductance L = mu0*N^2*A/length. With the number of turns and area fixed, L is inversely proportional to the solenoid length.

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