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Two ideal solenoids of same dimensions. One is air cored with 600 turns while other is Aluminium cored with 200 turns (relative permeability of Aluminium is 3 ), are connected in a circuit as shown in the figure. The switch S is closed at t=0 . Find the ratio of potential difference across air-cored solenoid to that of Aluminium cored solenoid at any time t .

Correct answer

3

Step-by-step solution

L ₁= ₀ ~N ₁^2 ~A , L ₂= ₀ ~N ₂^2 ~A _ r Since V=-L dl dt , So V₁ V₂ = L₁ L₂ = ( N₁ N₂ )^2 1 _r = ( 600 200 )^2 1 3 =3

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