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NEET2024PhysicsElectromagnetic InductionActual

Let us consider two solenoids A and B , made from same magnetic material of relative permeability _r and equal area of cross-section. Length of A is twice that of B and the number of turns per unit length in A is half that of B . The ratio of self inductances of the two solenoids, L_A: L_B is

Options

  1. A1: 2
  2. B2: 1
  3. C8: 1
  4. D1: 8

Correct answer

A. 1: 2

Step-by-step solution

L= ₀ _r n A NL= ₀ _r n A N l lL= ₀ _r n^2 A I L n^2 I L_A L_B = n_A^2 n_B^2 I_A I_B L_A L_B = 1 4 2= 1 2

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