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AP EAMCET202420 May 2024Evening ShiftPhysicsElectromagnetic InductionActual

The ratio of the number of turns per unit length of two solenoids A and B is 1: 3 and the lengths of A and Bare in the ratio 1: 2 . If the two solenoids have same cross sectional area, the ratio of the self inductances of the solenoids A and B is

Options

  1. A1: 12
  2. B1: 6
  3. C1: 18
  4. D1: 9

Correct answer

C. 1: 18

Step-by-step solution

For solenoids A and B , n ₁: n ₂=1: 3, l ₁: l ₂=1: 2, ~A ₁= A ₂ Self inductance, L= ₀ n^2 A 1 L n^2 1 L ₁ ~L ₂ = ( n ₁ n ₂ )^2 ( l ₁ I ₂ )= ( 1 3 )^2 ( 1 2 )=1: 18

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